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Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 36e
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 36e

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# An academic department with five faculty members narrowed

ISBN: 9780321629111 32

## Solution for problem 36E Chapter 2

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 36E

An academic department with five faculty members narrowed its choice for department head to either candidate ?A ?or candidate ?B. ?Each member then voted on a slip of paper for one of the candidates. Suppose there are actually three votes for A ?and two for ?B. ?If the slips are selected for tallying in random order, what is the probability that ?A ?remains ahead of ?B ?throughout the vote count (e.g., this event occurs if the selected ordering is ?AABAB, ?but not for ?ABBAA) ? ?

Step-by-Step Solution:

Answer: Step 1: Given, An academic department with five faculty members narrowed its choice for department head to either candidate A or candidate B. Each member then voted on a slip of paper for one of the candidates. Suppose there are actually three votes for A and two for B. Here we have to find the probability that A remains ahead of B throughout the vote count (e.g., this event occurs if the selected ordering is AABAB, but not for ABBAA)

Step 2 of 2

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