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

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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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