Answered: A continous random variable X has the…

A continous random variable X has the density function. f(x) = {x, 0 < x ≤ 1, {2 − x, 1 < x ≤ 2, {0, elsewhere. (a) Show that P(0 < X < 2) = 1 (b) Find P(X < 1.2)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 32EQ

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Question

A continous random variable X has the density function.

f(x) = {x, 0 < x ≤ 1,
{2 − x, 1 < x ≤ 2,
{0, elsewhere.

(a) Show that P(0 < X < 2) = 1

(b) Find P(X < 1.2)

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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