Question

Let a distribution be given by
F(y) = 0 y<0
Y+1÷2 0 1 1 Then, compute P(-2< y<3÷4)

Answer 1

Answer:

Accepted

No:

The cdf of 2 X−4 is

F2 X−4(x)=P( 2 X−4<x)=P(X<x+42)=⎧⎩⎨⎪⎪0,x+42,1, if x<−4 if −4≤x≤−2 if x>−2.

The density is

f2 X−4(x)=dF2 X−4(x)dx={12,0, if −4≤x≤−2 otherwise .