For a software company, a candidate has a success rate of p = 0.3 for each attempt in their interview. An examinee applies for the company 5 times consecutively. He doesn't want a job. He is just messing with the company. 1.What is the probability that the candidate gets the job 3 times within these 5 interviews? 2.What is the variance for this probability distribution? 3.What is the probability that he was successful at most 2 times?

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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For a software company, a candidate has a success rate of p = 0.3 for each attempt in their interview. An examinee applies for the company 5 times consecutively. He doesn't want a job. He is just messing with the company.

1.What is the probability that the candidate gets the job 3 times within these 5 interviews?

2.What is the variance for this probability distribution?

3.What is the probability that he was successful at most 2 times?

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