The following table shows the joint probability distribution of the random variables x and y A.Are the two requirements satisfied for this joint probability distribution? Explain clearly. Show your calculations. b. Find the marginal probability distribution of ? and graph it. Show your calculations. c. Find the marginal probability distribution of ? and graph it. Show your calculations. d. Find the correlation coefficient between ? and ?. Show your calculations. e. Comment on the direction and the strength of the association between ? and ?. f. Find the mean value of (? – ?) and the standard deviation of (? – ?). Show your calculations.

The following table shows the joint probability distribution of the random variables x and y A.Are the two requirements satisfied for this joint probability distribution? Explain clearly. Show your calculations. b. Find the marginal probability distribution of ? and graph it. Show your calculations. c. Find the marginal probability distribution of ? and graph it. Show your calculations. d. Find the correlation coefficient between ? and ?. Show your calculations. e. Comment on the direction and the strength of the association between ? and ?. f. Find the mean value of (? – ?) and the standard deviation of (? – ?). Show your calculations.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.2: Introduction To Probability

Problem 65E

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Question

The following table shows the joint probability distribution of the random variables x and y

A.Are the two requirements satisfied for this joint probability distribution? Explain clearly. Show
your calculations.

b. Find the marginal probability distribution of ? and graph it. Show your calculations.
c. Find the marginal probability distribution of ? and graph it. Show your calculations.
d. Find the correlation coefficient between ? and ?. Show your calculations.
e. Comment on the direction and the strength of the association between ? and ?.
f. Find the mean value of (? – ?) and the standard deviation of (? – ?). Show your calculations.

Joint probability distribution
0
2
1
X
2
3
.08
.09
.05
.12
.14
.11
.15 .10 .16

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

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