Let X₁, X2, X3,..., X30 be a random sample of size 30 from a population distributed with the following probability density function: L²=e, if 0 < x < ∞0 हैं, otherwise f(x)=2 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.

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
Section13.1: Continuous Probability Models
Problem 27E
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Let X₁, X2, X3, X30 be a random sample of size 30 from a population distributed with the
following probability density function:
f(x) =
(0,
-, if 0<x<∞
otherwise
Suppose that Y = X₁. 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) = (0, -, if 0<x<∞ otherwise Suppose that Y = X₁. 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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