coins are simultaneously tossed until they come up the same. The first coin comes up a head with probability p and the second with probability q. All tosses are assumed independent.   a)Find the PMF, the expected value and the Variance of the number of tosses.   b)What is the probability that the last toss of the first coin is he

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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Two coins are simultaneously tossed until they come up the same. The first coin comes up a head with probability p and the second with probability q. All tosses are assumed independent.

 

a)Find the PMF, the expected value and the Variance of the number of tosses.

 

b)What is the probability that the last toss of the first coin is head

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