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Example: Suppose that a company wishes to hire three new workers and that each applicant interviewed has a probability of 0.6 of being found acceptable. 1) What is the distribution of the total number of applicants that the company needs to interview? 2) Calculate the probability that exactly six applicants need to be interviewed. 3) Calculate the probability that the company allows up to/at most six applicants to be interviewed. 4) Calculate the probability that at least six applicants need to be interviewed. 5) Calculate the expected number of interviews.

Example: Suppose that a company wishes to hire three new workers and that each applicant interviewed has a probability of 0.6 of being found acceptable. 1) What is the distribution of the total number of applicants that the company needs to interview? 2) Calculate the probability that exactly six applicants need to be interviewed. 3) Calculate the probability that the company allows up to/at most six applicants to be interviewed. 4) Calculate the probability that at least six applicants need to be interviewed. 5) Calculate the expected number of interviews.

A First Course in Probability (10th Edition)
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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Example: Suppose that a company wishes to hire three new workers and that each applicant interviewed has a probability of 0.6 of being found acceptable. 1) What is the distribution of the total number of applicants that the company needs to interview? 2) Calculate the probability that exactly six applicants need to be interviewed. 3) Calculate the probability that the company allows up to/at most six applicants to be interviewed. 4) Calculate the probability that at least six applicants need to be interviewed. 5) Calculate the expected number of interviews.
Transcribed Image Text:Example: Suppose that a company wishes to hire three new workers and that each applicant interviewed has a probability of 0.6 of being found acceptable. 1) What is the distribution of the total number of applicants that the company needs to interview? 2) Calculate the probability that exactly six applicants need to be interviewed. 3) Calculate the probability that the company allows up to/at most six applicants to be interviewed. 4) Calculate the probability that at least six applicants need to be interviewed. 5) Calculate the expected number of interviews.
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