Distribution functions of Discrete Random Variables

Not sure of my understanding, so asking for help

2 part question

If has a distribution function

a) What is the distribution function of

b) What is the distribution function of , where and are constants,

Solution attempts

I know that

and

Therefore, should I say that (ditto for part b) and continue from there? But I'm not sure how to continue, so help please

Re: Distribution functions of Discrete Random Variables

Quote:

Originally Posted by

**I-Think** Not sure of my understanding, so asking for help

2 part question

If

has a distribution function

a) What is the distribution function of

b) What is the distribution function of

, where

and

are constants,

Solution attempts

I know that

and

Therefore, should I say that

(ditto for part b) and continue from there? But I'm not sure how to continue, so help please

Put

CB

Re: Distribution functions of Discrete Random Variables

Thanks

So part b should be

Let

So

Re: Distribution functions of Discrete Random Variables