The following table gives the joint probability distribution for the numbers of washers (X) and dryers (Y)
The following table gives the joint probability distribution for the numbers of washers (X) and dryers (Y) sold by a salesperson in an appliance store in a day.
| X∣Y | 0 | 1 | 2 |
|---|---|---|---|
| 0 | 0.06 | 0.01 | 0.07 |
| 1 | 0.01 | 0.16 | 0.13 |
| 2 | 0.03 | 0.01 | 0.52 |
Find E(X) _______
Find E(Y) _______
If the salesperson makes a commission of $80 per washer and $ 70 per dryer, find the average daily commission, average daily commission = $_______
Homework Answers
Add Answer to:
The following table gives the joint probability distribution for the numbers of washers (X) and dryers (Y)
4. (20 points) Suppose the joint distribution of X and Y is: fxy(x, y) 1 0...
4. (20 points) Suppose the joint distribution of X and Y is: fxy(x, y) 1 0 1 2 3 0.04 0.06 0.01 0.00 0.13 0.13 0.02 0.12 0.04 0.06 0.00 0.11 0.07 0.10 0.06 (a) (4 points) Find the marginal distributions of X and Y. (b) (4 points) Given X = 3, what is the probability that random variable Y is at most 2?. (c) (4 points) Are random variables X and Y independent? Why or why not? (d) (4...
Question 4: Let X and Y be two discrete random variables with the following joint probability...
Question 4: Let X and Y be two discrete random variables with the following joint probability distribution (mass) function Pxy(x, y): a) Complete the following probability table: Y 2 f(x)=P(X=x) 1 3 4 0 0 0.08 0.06 0.05 0.02 0.07 0.08 0.06 0.12 0.05 0.03 0.06 0.05 0.04 0.03 0.01 0.02 0.03 0.04 2 3 foy)=P(Y=y) 0.03 b) What is P(X s 2 and YS 3)? c) Find the marginal probability distribution (mass) function of X; [f(x)]. d) Find the...
The daily earnings X of an employee who works on a commission basis are given by the following probability distribution
The daily earnings X of an employee who works on a commission basis are given by the following probability distribution. Find the employee's expected earnings. $ _______ x($) 0 25 50 75 100 125 150 P(X = x) 0.16 0.13 0.07 0.14 0.28 0.17 0.05
Given the following joint distribution of two random variables X and Y (a) Compute marginal distribution...
Given the following joint distribution of two random variables X
and Y
(a) Compute marginal distribution PX(x)
(b) Compute marginal distribution PY(y)
(c) What is the conditional probability P(Y | X = 2)?
20.10 0.05 0.15 0.10 0.10 4 0.04 0.02 0.06 0.04 0.04 6 0.04 0.02 0.06 0.06 0.02 8 0.02 0.01 0.03 0 0.04
Question Use the probability distribution given in the table below to answer the following questions Joint...
Question Use the probability distribution given in the table below to answer the following questions Joint Distribution of Weather Conditions and Commuting Times Rain (X 0) No Rain (X 1) Total Long commute (Y 0) Short commute (Y 1) 0.26 0.13 0.39 0.58 0.03 0.61 Total 0.84 0.16 1.00 Compute the mean of Y E (Y) (Round your response to two decimal places) Compute the mean of X E (X) (Round your response to two decimal places) Compute the variance...
Suppose that the following table is the joint probability distribution of two random variables X and...
Suppose that the following table is the joint probability distribution of two random variables X and Y: х -2 0 2 3 0.27 0.08 0.16 0.2 0.1 0.04 0.1 0.05 a. Find the marginal PDF of X when x=-2, 0, 2, and 3. b. Find the marginal PDF of Y when y=2 and 5. . Find the conditional PDF of x=-2 and 3 given that y=2 has occurred. . Find the conditional PDF of y=2 and 5 given that x=3...
1. Suppose that that joint probability mass function of and is given in the following table....
1. Suppose that that joint probability mass function of and is given in the following table. y 0 1 0 0.16 0.14 1 ? 0.17 2 0.11 0.11 Find . Hint: Find first. 2. Suppose that that joint probability mass function of and is given in the following table. 0 1 0 0.06 0.08 1 ? 0.09 2 0.14 0.05 Find the expected value of .
Q1. [4+2+4 marks] Consider the following joint probability distribution fxy(x, y). 2 4 0.05 0.1 0,05...
Q1. [4+2+4 marks] Consider the following joint probability distribution fxy(x, y). 2 4 0.05 0.1 0,05 0.02 0.1 0.05 2 0.02 0.13 0.3 0.01 0.02 0.15 a) Find the covariance between X and Y b) Are X and Y independent? Explain. c) Find V(X12).
The following table gives the joint probability distribution between employment status and college graduation among those...
The following table gives the joint probability distribution between employment status and college graduation among those either employed or looking for work (unemployed) in the working-age U.S. population for 2016. | Unemployed (Y = 0) . Employed (Y = 1) Non-college graduates (X- 0 College graduates (X 1) 0.045 0.026 0.621 0.308 (a) Compute the expected value (mean) of X and Y: E(X), E(Y). (b) Compute the variance of X and Y: ơ (c) Compute the covariance and correlation coefficient:...
After analysing data for several months, the owner of an appliance shop produced the following jo...
After analysing data for several months, the owner of an appliance shop produced the following joint probability distribution of the number of washing machines (X) and dishwashers (Y) sold daily: Washing machines (X) Dishwashers 0 0.05 0.14 0.13 0.07 0.19 0.08 2 0.09 0.2 0.04 Which one of the following computations is incorrect? (1) The possible number of washing machines as well as dishwashers sold per day can be 0 or 1 or 2 or 3 or 4 (2) The...
4. (20 points) Suppose the joint distribution of X and Y is: fxy(x, y) 1 0 1 2 3 0.04 0.06 0.01 0.00 0.13 0.13 0.02 0.12 0.04 0.06 0.00 0.11 0.07 0.10 0.06 (a) (4 points) Find the marginal distributions of X and Y. (b) (4 points) Given X = 3, what is the probability that random variable Y is at most 2?. (c) (4 points) Are random variables X and Y independent? Why or why not? (d) (4...
Question 4: Let X and Y be two discrete random variables with the following joint probability distribution (mass) function Pxy(x, y): a) Complete the following probability table: Y 2 f(x)=P(X=x) 1 3 4 0 0 0.08 0.06 0.05 0.02 0.07 0.08 0.06 0.12 0.05 0.03 0.06 0.05 0.04 0.03 0.01 0.02 0.03 0.04 2 3 foy)=P(Y=y) 0.03 b) What is P(X s 2 and YS 3)? c) Find the marginal probability distribution (mass) function of X; [f(x)]. d) Find the...
The daily earnings X of an employee who works on a commission basis are given by the following probability distribution. Find the employee's expected earnings. $ _______ x($) 0 25 50 75 100 125 150 P(X = x) 0.16 0.13 0.07 0.14 0.28 0.17 0.05
Given the following joint distribution of two random variables X
and Y
(a) Compute marginal distribution PX(x)
(b) Compute marginal distribution PY(y)
(c) What is the conditional probability P(Y | X = 2)?
20.10 0.05 0.15 0.10 0.10 4 0.04 0.02 0.06 0.04 0.04 6 0.04 0.02 0.06 0.06 0.02 8 0.02 0.01 0.03 0 0.04
Question Use the probability distribution given in the table below to answer the following questions Joint Distribution of Weather Conditions and Commuting Times Rain (X 0) No Rain (X 1) Total Long commute (Y 0) Short commute (Y 1) 0.26 0.13 0.39 0.58 0.03 0.61 Total 0.84 0.16 1.00 Compute the mean of Y E (Y) (Round your response to two decimal places) Compute the mean of X E (X) (Round your response to two decimal places) Compute the variance...
Suppose that the following table is the joint probability distribution of two random variables X and Y: х -2 0 2 3 0.27 0.08 0.16 0.2 0.1 0.04 0.1 0.05 a. Find the marginal PDF of X when x=-2, 0, 2, and 3. b. Find the marginal PDF of Y when y=2 and 5. . Find the conditional PDF of x=-2 and 3 given that y=2 has occurred. . Find the conditional PDF of y=2 and 5 given that x=3...
Q1. [4+2+4 marks] Consider the following joint probability distribution fxy(x, y). 2 4 0.05 0.1 0,05 0.02 0.1 0.05 2 0.02 0.13 0.3 0.01 0.02 0.15 a) Find the covariance between X and Y b) Are X and Y independent? Explain. c) Find V(X12).
The following table gives the joint probability distribution between employment status and college graduation among those either employed or looking for work (unemployed) in the working-age U.S. population for 2016. | Unemployed (Y = 0) . Employed (Y = 1) Non-college graduates (X- 0 College graduates (X 1) 0.045 0.026 0.621 0.308 (a) Compute the expected value (mean) of X and Y: E(X), E(Y). (b) Compute the variance of X and Y: ơ (c) Compute the covariance and correlation coefficient:...
After analysing data for several months, the owner of an appliance shop produced the following joint probability distribution of the number of washing machines (X) and dishwashers (Y) sold daily: Washing machines (X) Dishwashers 0 0.05 0.14 0.13 0.07 0.19 0.08 2 0.09 0.2 0.04 Which one of the following computations is incorrect? (1) The possible number of washing machines as well as dishwashers sold per day can be 0 or 1 or 2 or 3 or 4 (2) The...
Most questions answered within 3 hours.
-
Hows does water affect the digestion of fats ?
asked 10 minutes ago -
A buffer that contains 0.41 M of a base, B and 0.21 M of its
conjugate...
asked 13 minutes ago -
Pleaaaaaaaasssssse help me please please it's more important
:((((((((((((((((((((
CASE STUDY
Nissan Company
Nissan Motor Company,...
asked 16 minutes ago -
Calculate the concentration of hydronium and hyroxide ions in 1)
2.0 mol/L HNO3 2) 0.5 mol/L...
asked 42 minutes ago -
In a loop-the-loop ride a car goes around a vertical, circular
loop at a constant speed....
asked 41 minutes ago -
50 grams each of water (18.015 g/mol) and ethylene glycol
(C2H6O2) (62.07 g/mol) are mixed. At...
asked 45 minutes ago -
The life expectancy of sport utility vehicles follows a normal
distribution with a mean of 145.8...
asked 1 hour ago -
If an object with mass of 5 kg is pushed with a force of 552 N,...
asked 47 minutes ago -
Suppose your program already has a list called nums, which
contains several numbers. Write a for...
asked 59 minutes ago -
A spherical shell with a finite thickness just barely floats in
water. If the shell is...
asked 59 minutes ago -
Explain in detail whether the following is true or false:
Total factor productivity will rise only...
asked 1 hour ago -
A firm pays a $2.50 dividend at the end of year one
(D1), has a stock...
asked 1 hour ago