b. A fair die is tossed four times. The variable X is the number of sixes obtained in the fourtosses.i.Prove that P(X = x) =1.x=0ii. Write down the probability mass function of X.iii. Find the cumulative distribution function of X.iv. Find E(X)and var(X).

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Answered: b. A fair die is tossed four times. The…

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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b. A fair die is tossed four times. The variable X is the number of sixes obtained in the four tosses. i. Prove that P(X=x) =1. x=0 ii. Write down the probability mass function of X. iii. Find the cumulative distribution function of X. iv. Find E(X) and var(X).