Suppose that X is a random variable with mean 30 and standard deviation 4. Y is a random variable with mean 50 and standard deviation 8. Assume the correlation between X and Y is 0. Find the varience and standard deviation of random variable Z for each of the following cases. 1) Z= 35-10X 2) Z= X+Y 3) Z= -2X - 2Y

Suppose that X is a random variable with mean 30 and standard deviation 4. Y is a random variable with mean 50 and standard deviation 8. Assume the correlation between X and Y is 0. Find the varience and standard deviation of random variable Z for each of the following cases. 1) Z= 35-10X 2) Z= X+Y 3) Z= -2X - 2Y

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.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question

1) Z= 35-10X

2) Z= X+Y

3) Z= -2X - 2Y

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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