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 variablewith density(a)(b)K-, for 0

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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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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?

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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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