Answered: Consider the PDF f(x) = (1/2)(x+1), -1

Math

Probability

Consider the PDF f(x) = (1/2)(x+1), -1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.4: Logarithmic Functions

Problem 45E

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Question

Consider the PDF f(x) = (1/2)(x+1), -1<x<1

Find the PDF for Y = 1-|X|

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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