Question

In: Statistics and Probability

Consider the function f(x)=A(1+x/3) for –1 < x < 1. Find the value of A that...

Consider the function f(x)=A(1+x/3) for –1 < x < 1.

Find the value of A that makes this function a pdf.
Find the probability that X<1/2.
Find the cdf of X.
Use the cdf to find the probability that X > -1/2.

Expert Solution

a. By using the definition of pdf ,

Therefore , the pdf will becomes ,

; -1<x<1

= 0 ; otherwise

(b) Now ,

(c)

by using definition of cdf,

The cdf of X is ,

;

(d) Now ,

orchestra answered 1 year ago

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