Suppose the random variable X has the following PDF: 2 √2π This distribution is often called half-normal. Find E(X) and V(X). f(x) = 2 for x > 0.
Suppose the random variable X has the following PDF: 2 √2π This distribution is often called half-normal. Find E(X) and V(X). f(x) = 2 for x > 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
Section13.3: Special Probability Density Functions
Problem 26E
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![Suppose the random variable X has the following PDF:
2
√2π
This distribution is often called half-normal. Find E(X) and V(X).
f(x)
=
,
for x > 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf4d5614-e5fa-4399-aabc-c345eeef0588%2Feb6eaf41-fc8b-4ce8-a9d0-1d33920e8d5a%2F076cmph_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose the random variable X has the following PDF:
2
√2π
This distribution is often called half-normal. Find E(X) and V(X).
f(x)
=
,
for x > 0.
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