Consider the population of voters described in Example 3.6. Suppose that there are N = 5000 voters in the population, 40% of whom favor Jones. Identify the event favors Jones as a success S. It is evident that the probability of S on trial 1 is .40. Consider the event B that S occurs on the second trial. Then B can occur two ways: The first two trials are both successes or the first trial is a failure and the second is a success. Show that P(B) = .4. What is P(B| the first trial is S)? Does this conditional probability differ markedly from P(B)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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Consider the population of voters described in Example 3.6. Suppose that there are N
= 5000 voters in the population, 40% of whom favor Jones. Identify the event favors
Jones as a success S. It is evident that the probability of S on trial 1 is .40. Consider
the event B that S occurs on the second trial. Then B can occur two ways: The first
two trials are both successes or the first trial is a failure and the second is a success.
Show that P(B) = .4. What is P(B| the first trial is S)? Does this conditional probability
differ markedly from P(B)

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