Suppose that 30% of the applicants for a certain industrial job possess advanced training in computer programming. Applicants are interviewed sequentially and are selected at random from the pool.
I) Check out the process in the problem satisfies the three conditions of Bernoulli Trials. Briefly state the reasons.
i) Binary outcome:
ii) Independence:
iii) Identical success probability:
II) Suppose, we are interested in the probability that the first applicant with advanced training in programing is found on the fifth interview.
i) Define a discrete random variable to answer the question. What are the parameter and its values?
ii) What is the probability that the first applicant with advanced training in programing is found on the fifth interview?
iii) What is the average number of interviews that the first applicant with advanced training in programing is found?
III) Now, suppose we are interested in the probability that the third applicant with advanced training in programing is found on the tenth interview.
i) Define a discrete random variable to answer the question. What are the parameters and their values?
ii) What is the probability that the third applicant with advanced training in programing is found on the tenth interview?
iii) What is the average number of interviews that the third applicant with advanced training in programing is found?