A recruiting firm finds that 30% of the applicants for a certain industrial job have advanced training in computer programming. Applicants are selected at random from the pool and are interviewed sequentially. a. Find the probability that the first applicant having advanced training is found on the fifth interview.  b. Find the probability that the third qualified applicant is found on the fifth interview, if the applicants are interviewed sequentially and at random.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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A recruiting firm finds that 30% of the applicants for a certain industrial job have
advanced training in computer programming. Applicants are selected at
random from the pool and are interviewed sequentially.

a. Find the probability that the first applicant having advanced training is found
on the fifth interview. 
b. Find the probability that the third qualified applicant is found on the fifth
interview, if the applicants are interviewed sequentially and at random.

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