Answer to Question #195492 in Statistics and Probability for Mohammed Moro

Question

Suppose that 30% of the applicants for a certain industrial job possess advanced training in $R$ statistical software.Apllicants are interviewed sequentially and are selected at random from the pool.Find the probability that the first apllicant with advanced training in programming is found on the fifth interview?

Answer 1

Let Y be the number of the trial on which the first applicant with advanced training is programming is found. Then, Y has a geometric probability distribution with p=0.3

The probability that the first applicant with advanced training in Programming is found on the fifth interview is given as-

$P(Y=5)=0.7^4.0.3=0.07203$