Applicants for a job first submit a written application.Based on the written applications,37% of the applicants are invited for a first interview.Of those that have a first interview,58% are rejected after the interview.What is the probability that a randomly selected applicant receives a first interview and is rejected after the interview?
A)0.1554
B)0.58
C)0.2146
D)0.95
E)0.7354

Question

Quizplus · Accepted Answer

Let's assume that we have 100 applicants.

Based on the information given, 37% of 100 applicants (or 0.37*100 = 37) are invited for a first interview. Out of those, 58% are rejected, so 58% of 37 (or 0.58*37 = 21.46) are rejected after the interview.

Therefore, the probability of a randomly selected applicant receiving a first interview and being rejected after the interview is 21.46/100 = 0.2146. So, the correct option is C.

Applicants for a Job First Submit a Written Application