3) Suppose that X₁, X2, ..., X₁00 is a random sample from a normally distributed1100i=1100population with mean µ== 25 and variance o² = 36. If Y=99Y-μyoyFind the mean and variance of Y.100Σ(X-Y)², and W =i=1a)100b) Find the P(1000 < X < 1200).c)State with parameters the probability distribution function of W.d)Compute the P(0.004 < W² < 3.841).e) Compute the P(99S² > 2805.444).S²

Answered: Image /qna-images/answer/bcc4748d-c942-4240-8c4a-5328ed009e37.jpg

3) Suppose that X₁, X2,...,X₁00 is a random sample from a normally distributed population with mean μ = 25 and variance o² = 36. If Y = 100X₁, S² = 1 Zi=1 100 Y-μY σy Find the mean and variance of Y. b) Find the P(1000 < X <1200). c) State with parameters the probability distribution function of W. 1100 99 (X, Y)², and W =

3) Suppose that X₁, X2,...,X₁00 is a random sample from a normally distributed population with mean μ = 25 and variance o² = 36. If Y = 100X₁, S² = 1 Zi=1 100 Y-μY σy Find the mean and variance of Y. b) Find the P(1000 < X <1200). c) State with parameters the probability distribution function of W. 1100 99 (X, Y)², and W =

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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