Random variables X and Y have the following joint probability mass function: p(x,y) = (x+2y+1)/c for X=1,2,3 and Y= 0,1,2 p(x,y) = 0 otherwise a) Find the value for c. b) Find the marginal probability mass function for X. c) Find the standard deviation of ( 8 − 4 X ) .

Random variables X and Y have the following joint probability mass function: p(x,y) = (x+2y+1)/c for X=1,2,3 and Y= 0,1,2 p(x,y) = 0 otherwise a) Find the value for c. b) Find the marginal probability mass function for X. c) Find the standard deviation of ( 8 − 4 X ) .

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Random variables X and Y have the following joint probability mass function:

p(x,y) = (x+2y+1)/c for X=1,2,3 and Y= 0,1,2

p(x,y) = 0 otherwise

a) Find the value for c.

b) Find the marginal probability mass function for X.

c) Find the standard deviation of ( 8 − 4 X ) .

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