Alan will throw a six-sided fair die repeatedly until he obtains a 2. Bob will throw the same die repeatedly unit he obtains a 2 or 3. We assume that successive throws are independent, and Alan and Bob are throwing the die independently of one another. Let X be the sum of numbers of throws required by Alan and Bob. a) Find P(X=9) b) Find E(X) c) Find Var(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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Alan will throw a six-sided fair die repeatedly until he obtains a 2. Bob will throw the same die repeatedly unit he obtains a 2 or 3. We assume that successive throws are independent, and Alan and Bob are throwing the die independently of one another. Let X be the sum of numbers of throws required by Alan and Bob.

a) Find P(X=9)

b) Find E(X)

c) Find Var(X)

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