A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
Bartleby Related Questions Icon

Related questions

Question

Show that if  X is a discrete random variable a mean of  mu and a standard deviation sigma, then 

Z=(X-mu)/sigma is a discrete random variable with a mean of zero and a standard deviation of 1

Expert Solution
Check Mark
Step 1: Introducing the given information

W e space h a v e space g i v e n space t h a t space X space i s space a space d i s c r e t e space r a n d o m space v a r i a b l e space w i t h space m e a n space o f space mu space a n d space s tan d a r d space d e v a i t i o n space o f space sigma
i. e.
E left parenthesis X right parenthesis equals mu
S tan d a r d space d e v i a t i o n equals S D left parenthesis X right parenthesis equals sigma

Still need help?
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

In SD(X-mu/sigma)=1/sigma * SD(X)

What happened to the mean mu? 

Solution
Bartleby Expert
by Bartleby Expert
SEE SOLUTION
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

In SD(X-mu/sigma)=1/sigma * SD(X)

What happened to the mean mu? 

Solution
Bartleby Expert
by Bartleby Expert
SEE SOLUTION
Knowledge Booster
Background pattern image
Similar questions
Recommended textbooks for you
Text book image
A First Course in Probability (10th Edition)
Probability
ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON
Text book image
A First Course in Probability
Probability
ISBN:9780321794772
Author:Sheldon Ross
Publisher:PEARSON