Exercise Suppose that X is a continuous random variable whose probability density function is given by - f(x) = { C(1-x²), 1

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Exercise
Suppose that X is a continuous random variable whose
probability density function is given by
f(x) = { 0
C(1-x²), 1<x< 1
0, otherwise
(1) What is the value of C?
(2) Find P(0 < X <}).
(3) Find the variance Var(X).
A
FF
Transcribed Image Text:Exercise Suppose that X is a continuous random variable whose probability density function is given by f(x) = { 0 C(1-x²), 1<x< 1 0, otherwise (1) What is the value of C? (2) Find P(0 < X <}). (3) Find the variance Var(X). A FF
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