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We define the ratio random variable of two random variables X and Y is Z = . (a) If X~ Binomial (3,) and (Y - 1) ~ Binomial (2,4). Find the PDF, expectation and variance of the ratio random Z. (b) Suppose both X and Y follow standard normal distribution independently, i,e X~ Y~ N(0,1). Find the PDF of the ratio random Z and name its distribution. N(0, 1) and

We define the ratio random variable of two random variables X and Y is Z = . (a) If X~ Binomial (3,) and (Y - 1) ~ Binomial (2,4). Find the PDF, expectation and variance of the ratio random Z. (b) Suppose both X and Y follow standard normal distribution independently, i,e X~ Y~ N(0,1). Find the PDF of the ratio random Z and name its distribution. N(0, 1) and

Calculus For The Life Sciences
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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We define the ratio random variable of two random variables X and Y is Z = . (a) If X~ Binomial (3,) and (Y - 1) ~ Binomial (2,4). Find the PDF, expectation and variance of the ratio random Z. (b) Suppose both X and Y follow standard normal distribution independently, i,e X~ YN (0,1). Find the PDF of the ratio random Z and name its distribution. N (0, 1) and
Transcribed Image Text:We define the ratio random variable of two random variables X and Y is Z = . (a) If X~ Binomial (3,) and (Y - 1) ~ Binomial (2,4). Find the PDF, expectation and variance of the ratio random Z. (b) Suppose both X and Y follow standard normal distribution independently, i,e X~ YN (0,1). Find the PDF of the ratio random Z and name its distribution. N (0, 1) and
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