1. Suppose Zi and Z2 are independent standard normal random variables. Calculate P(Z s1,2 s1).

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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topic: Sampling Distributions and the Central Limit Theorem

1. Suppose Zı and Z2 are independent standard normal random variables. Calculate
P(z; s1,Z; s1).
2. Suppose Y has a standard normal distribution. Define U = Y. Show that U has a gamma
distribution with a = % and Bß =2
Transcribed Image Text:1. Suppose Zı and Z2 are independent standard normal random variables. Calculate P(z; s1,Z; s1). 2. Suppose Y has a standard normal distribution. Define U = Y. Show that U has a gamma distribution with a = % and Bß =2
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