Suppose, you throw a fair dice twice (where faces are numbered 1 to 6, as usual). X and Y be the values of face observed in the first and the second throws, respectively. Throws are independent. a) Write down the joint probability mass function of X and Y . b) Find, E[X], E[X + Y ]. (Show calculation.)

Suppose, you throw a fair dice twice (where faces are numbered 1 to 6, as usual). X and Y be the values of face observed in the first and the second throws, respectively. Throws are independent. a) Write down the joint probability mass function of X and Y . b) Find, E[X], E[X + Y ]. (Show calculation.)

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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Suppose, you throw a fair dice twice (where faces are numbered 1 to 6, as
usual). X and Y be the values of face observed in the first and the second
throws, respectively. Throws are independent.

a) Write down the joint probability mass function of X and Y .

b) Find, E[X], E[X + Y ]. (Show calculation.)

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