(1 point) The distributions of X and Y are described below. If X and Y are independent, determine the joint probability distribution of X and Y. X 01 P(X) 0.24 0.76 Y 1 2 3 P(Y) 0.42 0.24 0.34 X Y 0 T
Answers
The joint probability distribution of X and Y is as follows:X Y P(X, Y)0 1 0.10080 2 0.05760 3 0.08161 1 0.31921 2 0.18241 3 0.2584
We are given the distribution of random variable X and Y, and asked to find the joint probability distribution of X and Y.If X and Y are independent, then P(X, Y) = P(X) * P(Y)First, let's compute the probabilities of each possible pair of X and Y.X = 0, Y = 1: P(X = 0, Y = 1) = P(X = 0) * P(Y = 1) = 0.24 * 0.42 = 0.1008X = 0, Y = 2: P(X = 0, Y = 2) = P(X = 0) * P(Y = 2) = 0.24 * 0.24 = 0.0576X = 0, Y = 3: P(X = 0, Y = 3) = P(X = 0) * P(Y = 3) = 0.24 * 0.34 = 0.0816X = 1, Y = 1: P(X = 1, Y = 1) = P(X = 1) * P(Y = 1) = 0.76 * 0.42 = 0.3192X = 1, Y = 2: P(X = 1, Y = 2) = P(X = 1) * P(Y = 2) = 0.76 * 0.24 = 0.1824X = 1, Y = 3: P(X = 1, Y = 3) = P(X = 1) * P(Y = 3) = 0.76 * 0.34 = 0.2584The joint probability distribution of X and Y is as follows:X Y P(X, Y)0 1 0.10080 2 0.05760 3 0.08161 1 0.31921 2 0.18241 3 0.2584The joint probabilities of X and Y are shown in the above table.
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Related Questions
In order to solve a quadratic equation by completing the square, what does the coefficient of the squared term need to be? If the coefficient is not equal to this, what does your first step need to be to complete the sqaure?
Answers
Answer:
For completing the square, you need the coefficient of the x^2 term to be 1.
http://www.1728.org/quadr2.htm
Step-by-step explanation:
a gemstone in the shape of a rhombus has the measurements shown. Match the measures with the angles.
Answers
Me ayudas por favor con esto es para Hoy por favor
A cylinder has a base diameter of 8ft and a height of 20ft. What is it's volume in cubic ft, to the nearest 10th place?
Answers
Answer:
1005.3 ft³
Step-by-step explanation:
cylinder has a base diameter of 8ft and a height of 20ft. What is it's volume in cubic ft, to the nearest 10th place?
Given that:
Base diameter = 8feets
Radius, r = 8/2 = 4 feets
Height h, = 20 feets
Volume of cylinder, V = πr²h
V = π * 4² * 20
V = π * 16 * 20
V = 1005.3096
V = 1005.3096 ft³
yuta has $10.he gives $3 to his friends taiko.then,yuta wins $2 .But,yuta then lends $4 to karen.How much money does Yuta now have?
Answers
Answer:
5 dollars
Step-by-step explanation:
because 10 - 3 + 2 - 4 = 5
In 1800, the slave population in the United States of America was 893,602. By 1860, the slave population rose to about 1,953,760. How large of a percentage did the slave population increase by from 1800 to 1860?
Answers
To find the percentage increase of the slave population from 1800 to 1860, we can use the following formula:
What does math's % mean?
In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
percentage increase = (new value - original value) / original value x 100
We know that in 1800 the slave population was 893,602 and in 1860 the slave population was 1,953,760. So we can plug in these values into the formula:
percentage increase = (1,953,760 - 893,602) / 893,602 x 100
percentage increase = (1,060,158) / 893,602 x 100
percentage increase = 1.1885 x 100
percentage increase = 118.85
So, the slave population increased by 118.85% from 1800 to 1860.
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Find the area of the figure. A composite figure made of a triangle, a square, and a semicircle. The diameter and base measure of the circle and triangle respectively is 6 feet. The triangle has a height of 3 feet. The square has sides measuring 2 feet. area: ft²
Answers
The total area of the figure in this problem is given as follows:
41.3 ft².
How to obtain the area of the composite figure?The area of the composite figure is given by the sum of the areas of all the parts that compose the figure.
The figure in this problem is composed as follows:
Triangle of base 6 feet and height 3 feet.Semicircle of radius 3 feet.Square of side length 2 feet.Then the area of the triangle is given as follows:
At = 0.5 x 6 x 3 = 9 ft².
The area of the semicircle is given as follows:
Ac = π x 3² = 28.3 ft².
The area of the square is given as follows:
As = 2² = 4 ft².
Then the total area of the figure is given as follows:
9 + 28.3 + 4 = 41.3 ft².
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SST Grocery Store has a display of 12-ounce cans of soft drink in cases of 24. Each case
measures 16.00 inches by 10.75 inches by 5.00 inches. How many cubic inches are needed if 360
cases are on display?
OA 619,200 cubic inches
OB 309,600 cubic inches
OC 61,920 cubic inches
OD 123,840 cubic inches
Answers
Cases are on display OA 619,200 cubic inches.
What is number?Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.
To calculate the number of cubic inches needed for 360 cases of 12-ounce cans of soft drink, we need to multiply the number of cases (360) by the volume of each case. The volume of each case can be calculated by multiplying its length (16 inches), width (10.75 inches) and height (5 inches):
Volume = 16.00 inches x 10.75 inches x 5.00 inches = 828 cubic inches
Therefore, 360 cases of 12-ounce cans of soft drink require (360 x 828) = 619,200 cubic inches.
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insomnia and education. is insomnia related to education status? researchers at the universities of memphis, alabama at birmingham, and tennessee investigated this question in the journal of abnormal psychology (feb. 2005). adults living in tennessee were selected to participate in the study, which used a random-digit telephone dialing procedure. two of the many variables measured for each of the 575 study participants were number of years of education and insomnia status (normal sleeper or chronic insomniac). the researchers discovered that the fewer the years of education, the more likely the person was to have chronic insomnia. a. identify the population and sample of interest to the researchers. b. identify the data collection method. are there any potential biases in the method used? c. describe the variables measured in the study as quantitative or qualitative. d. what inference did the researchers make?
Answers
a. The population of interest to the researchers were adults living in Tennessee. The sample of interest were the 575 study participants who were selected using a random-digit telephone dialing procedure.
b. The data collection method was a survey conducted through telephone interviews. The potential biases in the method used could include non-response bias, where individuals who do not have telephones or do not answer calls may be excluded from the study. Additionally, there may be social desirability bias, where individuals may not report their true insomnia status due to social pressures.
c. The variables measured in the study were years of education and insomnia status. Years of education is a quantitative variable, while insomnia status is a qualitative variable.
d. The researchers inferred that there is a relationship between education status and insomnia, where individuals with fewer years of education are more likely to have chronic insomnia. However, it should be noted that correlation does not imply causation and further research would be needed to establish causality.
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Question 1
1 point possible (graded)
Suppose there is no uncertainty. There is an investment plan in which you pay $100 int and receive $5 in
t+1 and $105 in t+2. Which of the following should the yield to maturity, i, satisfy?
o
100
5 105
1+i. 2.(1+i)
5
105
100
1+1 (1+i)
100 = 5 (1+1)+105 (1+1)
0
100 = 5(1+i) +105(1+i);
о
5
100
105
1+i (1+1)
You have used of l attempt
Save
Answers
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-7,-6); y=-5x+2
Answers
Answer:
The equation in the slope-intercept form is
y = -5x - 41
Step-by-step explanation:
The given equation in the question is;
y = -5x + 2
The equation of a straight line graph can be written in the form;
y = mx + c
where m is the slope and c is the intercept
From here, we can see that the slope m is -5
Since the line is parallel to the new line we are trying to write its equation, it means that they have the same value of intercept.
Hence, the slope of the new line is also -5
Now, we can write the equation of the new line as;
y = -5x + c
we need to get the value of c here however
To get the value of c, we need to input the value of x and y
From the graph, x = -7 and y = -6
Substituting these values, we have;
-6 = -5(-7) + c
-6 = 35 + c
c = -6 -35
c = -41
So the equation of the new line will be;
y = -5x - 41
Here is a polygon.
Draw a scaled copy of the polygon with scale factor 3.
Answers
Scaled copy of the polygon with scale factor 3 is given below.
What is a polygon?A polygon is a closed polygonal chain made up of a finite number of straight line segments and is a type of planar figure in geometry. A polygon is a region that is bounded by a bounding circuit, a bounding plane, or both.
A polygonal circuit's segments are referred to as its edges or sides. A polygon is a geometric object with two dimensions and a finite number of sides. A polygon's sides are made up of segments of straight lines that are joined end to end.
Polygons include shapes like triangles, quadrilaterals, pentagons, and hexagons. The shape's number of sides is indicated by the name. A quadrilateral has four sides, whereas a triangle has three.
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If 3 inches represents 20 miles how many inches does 50 miles represent
Answers
Answer:
Step-by-step explanation:
if 3=20
then ?=50
if more less divide
50/20 *3 =7.5
Answer:
7.5 inches
Step-by-step explanation:
We can use ratios to solve
3 inches x inches
---------------- = --------------
20 miles 50 miles
Using cross products
3 * 50 = x * 20
150 = 20x
Divide by 20
150/20 = x
7.5 inches
A rectangular wooden chest is twice as long as it is wide. The top and sides of the chest are made of oak and the bottom is made of pine. The volume of the box is 0.25 cubic metres. The oak costs $2/m2 and the pine is $1/m2 Find the dimensions that will minimize the cost of making the chest. A cardhon
Answers
The cost of making the chest with these dimensions is approximately $3.83.
Let's start by finding an expression for the cost of making the chest in terms of its dimensions. The cost of the oak top and sides is given by:
cost of oak = 2lw + 2lh
where l is the length and w is the width of the chest, and h is the height (which we don't know yet). The cost of the pine bottom is given by:
cost of pine = lw
The total cost of making the chest is the sum of these two costs:
total cost = cost of oak + cost of pine
= 2lw + 2lh + lw
We want to minimize this cost subject to the constraint that the volume of the chest is 0.25 cubic metres. The volume of a rectangular box is given by:
volume = length × width × height
= lwh
Since the volume is given as 0.25 cubic metres, we have:
lwh = 0.25
We also know that the length is twice the width, so we can write:
l = 2w
Substituting this into the expression for volume, we get:
\(2w^{2h} = 0.25\)
Solving for h, we get:
\(h = 0.125/w^2\)
Substituting this expression for h into the expression for the total cost, we get:
total cost = \(2lw + 2(0.125/w^2)w + lw\)
= 2lw + 0.25/w
To minimize this cost, we can take the derivative with respect to w and set it equal to zero:
d(total cost)/dw =\(2l - 0.25/w^2 = 0\)
Solving for w, we get:
w = \(\sqrt{0.125/l)}\)
Substituting this value for w back into the expression for h, we get:
h = \(0.125/w^2 = 8l\)
Therefore, the dimensions that will minimize the cost of making the chest are:
length = 2w = \(2\sqrt{(0.125/l)}\)
width = w =\(\sqrt{0.125/l)}\)
height = h = 8
To find the cost of making the chest, we can substitute these values into the expression for the total cost:
total cost = 2lw + 0.25/w
= \(2\sqrt{(0.125/l} ) \times \sqrt{0.125/l)} \times 2 + 0.25/\sqrt{(0.125/l)}\)
= 4 × 0.125 + 0.25 × sqrt(l/0.125)
= 0.5 + 2\(\sqrt{2\) ≈ 3.83
Therefore, the cost of making the chest with these dimensions is approximately $3.83.
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Use vector notation to describe the points that lie in the given configuration. (Let t be an element of the Reals.) the line passing through (-1, -1, -1) and (8, -1, 7) I(t) =
Answers
This vector equation represents all the points that lie on the line passing through (-1, -1, -1) and (8, -1, 7) for any value of t. As t varies over the real numbers, the points P(t) trace the line in three-dimensional space.
The line passing through the points (-1, -1, -1) and (8, -1, 7) can be described using vector notation. Let's denote the position vector of a point on the line as P(t), where t is a real number that represents a parameter along the line. The vector equation for the line can be written as: P(t) = (-1, -1, -1) + t[(8, -1, 7) - (-1, -1, -1)].
Simplifying the equation: P(t) = (-1, -1, -1) + t(9, 0, 8) = (-1 + 9t, -1, -1 + 8t). This vector equation represents all the points that lie on the line passing through (-1, -1, -1) and (8, -1, 7) for any value of t. As t varies over the real numbers, the points P(t) trace the line in three-dimensional space.
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Zen Inc. manufactures two types of products, the G1 and the T1 model airplane. The manufacturing process consists of two principal departments: production and assembly. The production department has 58 skilled workers, each of whom works 7 hours per day. The assembly department has 25 workers, who also work 7-hour shifts. On an average, to produce a G1 model, Zen Inc. requires 3.5 labor hours for production and 2 labor hours for assembly. The T1 model requires 4 labor hours for production and 1.5 labor hours in assembly. The company anticipates selling at least 1.5 times as many T1 models as G1 models (this is the product mix). The company operates five days per week and makes a net profit of $130 on the G1 model, and $150 on the T1 model. Zen Inc. wants to determine how many of each model should be produced on a weekly basis to maximize net profit. If the numbers of G1 and T1 products produced each week are denoted as G and T respectively, the function that describes Zen, Inc.’s sales product mix for a week is?
Answers
Each model should be produced on a weekly basis to maximize net profit is $75,900.
What is Net profit?
In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.
As given,
Number of products sold:
T ≥ 1.5G
Maximize Profit Z = 150T + 130G
Labor Constraint:
Labor hours Available:
Production Department:
Number of labor hours available per day = 58 × 7 = 406
Number of days in a week = 5
Number of lobor ours available per week = 406 × 5 = 2030
Assembly Department:
Number of labor hours available per day = 25 × 7 = 175
Number of days in a week = 5
Number of labor hours available per week = 175 × 5 = 875.
Labor hours Required:
Labor hours required for G1 model:
Labor hours required at Production department = 3.5G
Labor hours required at assembly department = 2G
Labor hours required for T1 model:
Labor hours required at Production department = 4T
Labor hours required at Assembly department = 1.5T
Total labor hours required at Production department = 3.5G + 4T
Total labor hours required at Assembly department = 2G + 1.5T.
Constraint:
Labor hours required ≤ Labor hours Available.
Production department Labor constraint
3.5G + 4T ≤ 2030
Assembly department Labor constraint:
2G + 1.5T ≤ 875
The function:
Maximum Profit Z = 150T +130G
Constraint:
3.5G +4T ≤ 2030
2G + 1.5T ≤ 875
T ≥ 1.5G
Suppose that for example:
10.5G +12T = 6090
16G + 12T = 7000
Solve both equations simultaneously,
5.5G = 7000 - 6090
5.5G = 910
G = 910/5.5
G = 363
Since, T > G
Hence,
T = 363,
G = 165
Calculate Profit:
150T + 130G = 150 × 363 + 130 × 165
= 54450 + 21450
= 75900
Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.
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3t²+2t-1=0
using:fsctorisation method
completeing the square method
quadratic formulae
Answers
Answer:
ok the first step is when you add the 3+2 =5 +2=8 you got tue eight you dont have anything yo add beacase eight ias more 1 even if you have 8+ 1 =8
Classify the following triangles based on the angles given.
4. 40°, 100°, 40° __________
5. 14°, 98°, 68° __________
6. 38°, 38°, 104° __________
Answers
We know,
When two angles less than 90 is known as Scalene obtuse Triangle.
When two angles are equal is called Isosceles obtuse Triangle.
So, 40°, 100°, 40° is a scalene obtuse triangle.
and, 14°, 98°, 68° is a scalene obtuse triangle.
and, 38°, 38°, 104° is an isosceles obtuse triangle.
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There are 5 rainbows that total 100
miles in length. What is the mean
length of the rainbows?
8
Answers
Answer:
20 is the mean length of rainbows
What is each number in simplest form?
c. 9⁻³.⁵
Answers
The number 9⁻³.⁵ in simplest form is approximately 0.0822.
To simplify 9⁻³.⁵, we first take the reciprocal of 9, which is 1/9. Then we find the square root of this reciprocal, which is approximately 0.3333. Finally, we take the cube root of this value, resulting in approximately 0.0822. Therefore, the number 9⁻³.⁵ in simplest form is approximately 0.0822.
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The list shows the weights of several puppies in pounds 5.2, 6.2, 6 ,5.8, 5.2, 6.7, 8.33, 5.35 What is the median weight in pounds?
Answers
Answer:
6.1
Step-by-step explanation:
Add all, then divide by 8
Tell me if it works
(2x)/(25)=(0.4)/(0.15)
Answers
tickets to a movie at a small theater cost $ 15 $15 for one showing if at least 100 100 tickets are sold. for every $ 1 $1 decrease in ticket price, the number of tickets sold increases by 10 10. what price must the theater charge per ticket in order to maximize their revenue?
Answers
The $2.25 must the theatre charge per ticket in order to maximize their revenue.
Define the term maximum revenue?According to your financial status, maximum revenue is the most amount of money your company may make in a given fiscal year.When the derivative is equal to zero, a given function's maximum value occurs. Therefore, in order to maximize revenue, locate the revenue function's first derivative.For the stated question.
Let the revenue generated be 'R'.
The price of ticket after reduction of $1 = x.
Total tickets = 100
Using the revenue equation;
Revenue = (Number of ticket)X(price per ticket)
R = (100 - 10x)(15 + x)
R = 1500 - 10x² -150x + 100x
R = 1500 - 10x² -50x
For the maximum revenue-
x = -b/2a = 50/2(-10)
x = -50/20 = -2.25
Thus, the $2.25 must the theatre charge per ticket in order to maximize their revenue.
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A game is played with a spinner on a circle, like the minute hand on a clock. The circle is marked evenly from 0 to 100, so, for example, the 3:00 position corresponds to 25, the 6:00 position to 50 and so on. The player spins the spinner, and the resulting number is the number of seconds he or she is given to solve a word puzzle.
If 100 players are randomly selected, what is the probability that at most 40 will get less than 40 seconds and at most 40 will get more than 40 seconds to solve the puzzle?
Answers
Probability that at most 40 will get less than 40 seconds and at most 40 will get more than 40 seconds to solve the puzzle is 0.4961
Here data is uniformly distributed 0 to 100. So that probability of each and every unit P(X) is 1/100.
Mean = Sum of Observation x P(X)
Mean = 1 x 0.01 + 2 x 0.01 + 3 x 0.01.........100 x 0.01
Mean = 50.50
To find Standard Deviation (S.D),First we need to subtract the mean from each and every observation and then we need to take the square and multiply them with their respective probabilities and add all the results and take the square root. See the attached figure to know more about the formula.
S.D = \(\sqrt{((1-50.50)^2 + (2-50.50)^2 +.......(100-50.50)^2 )0.01}\)
S.D = 70.7
A sample size is large enough, we can use standard normal Z table.
Z = ( X - Mean) / S.D
Z = (50 - 50.5) / 70.7
Z > 0.01
So, from Z table
P(Z > 0.01) = 0.4961
Hence, probability that at most 40 will get less than 40 seconds and at most 40 will get more than 40 seconds to solve the puzzle is 0.4960.
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Can you guys tell me what is 5/6 - 2/15=
Answers
Answer:
7/10
Step-by-step explanation:
Answer:
answer is 7/10 and as a decimal 0.7
Step-by-step explanation:
Will mark branilest!!!
Answers
Answer:
You could use 13+2x=t
x=number of weeks. t=total
what is 26/57= 849/5x
Answers
\(\frac{26}{57}=\frac{849}{5}x \\ \\ x=\left(\frac{26}{57} \right) \left(\frac{5}{849} \right) \\ \\ x=\boxed{130/48393}\)
f(4) =
If g(x) = 2, x =
Answers
Sososos
Step-by-step explanation:
i hid cheese under my friends bed bc i didnt feel like throwing it away i also have a cup of shredded chicken with water on it inside a cup from last month and an old mango i didnt feel like finishing can anyone else relate lol
Answers
Answer:
OMG LOL HAHAAH YES YE
Step-by-step explanation:
Answer:
Girl your friends bed is gonna mold-
Step-by-step explanation:
and no I can't relate♡
what is a negative multiplied by a negative
Answers
Answer:
\(( - ) \times ( - ) = ( + )\)
Negative × Negative = positive
Example;
\( (- 1) \times (- 1 )=( + 1)\)
I hope I helped you^_^
a nurse is preparing to administer furosemide 4 mg/kg/day po divided into 2 equal doses daily to a toddler who weighs 22 lb. how many mg should the nurse administer per dose? (fill in the blank with the numeric value only, round the answer to the nearest whole number, and use a leading zero if applicable. do not use a trailing zero.)
Answers
The nurse should administer 19.958 mg of furosemide per dose to the toddler.
To use the unitary method, we need to convert the toddler's weight from pounds to kilograms, as the dose is given in mg/kg/day.
1 lb = 0.45359237 kg (conversion factor)
Therefore, the toddler's weight in kilograms is
22 lb x 0.45359237 kg/lb = 9.979 kg (rounded to three decimal places)
Now we can calculate the total daily dose of furosemide for the toddler
4 mg/kg/day x 9.979 kg = 39.916 mg/day (rounded to three decimal places)
Since the dose is divided into 2 equal doses daily, each dose would be half of the total daily dose
39.916 mg/day ÷ 2 = 19.958 mg/dose (rounded to three decimal places)
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