Let X₁, X2, X3,..., X30 be a random sample of size 30 from a population distributed with the following probability density function: ez, if 0

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.CR: Chapter 13 Review
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1.a

STATISTICAL INFERENCE

Let X₁, X2, X3,..., X30 be a random sample of size 30 from a population distributed with the
following probability density function:
f(x)
= 2
e 2, if 0 < x < ∞
otherwise
(0,
Suppose that Y = ₁X₁. Use
i) the moment generating function technique to find the probability distribution function of Y.
Write down the density function of Y.
Transcribed Image Text:Let X₁, X2, X3,..., X30 be a random sample of size 30 from a population distributed with the following probability density function: f(x) = 2 e 2, if 0 < x < ∞ otherwise (0, Suppose that Y = ₁X₁. Use i) the moment generating function technique to find the probability distribution function of Y. Write down the density function of Y.
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