Lifetime of a certain hardware is a continuous random variable with density (a) (b) к (K-2 for 0 < x < 5 for all other x 25 f(x) = { Find K. What is the expectation of the lifetime?

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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For a Normal random variable X, with E(X)=2, and Var(X)= 2,
compute
(a)
(b)
P(X ≤ 2.39)
P(|X| <3)
Transcribed Image Text:For a Normal random variable X, with E(X)=2, and Var(X)= 2, compute (a) (b) P(X ≤ 2.39) P(|X| <3)
Lifetime of a certain hardware is a continuous random variable
with density
(a)
(b)
K-, for 0<x<5
for all other x
25
f(x) = {
Find K.
What is the expectation of the lifetime?
Transcribed Image Text:Lifetime of a certain hardware is a continuous random variable with density (a) (b) K-, for 0<x<5 for all other x 25 f(x) = { Find K. What is the expectation of the lifetime?
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i think that's a bad calculation at the end it should be 25/12 instead of 55

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