A barbershop requires appointments for perms and hair cuts.Ten percent of those making appointments cancel or simply fail to show up.Next week's appointment calendar has 64 appointments.Let x be the number of missed appointments out of the 64.The probability that more than 3 cancellations and/or no-shows will occur during the next week is:
A) 0.3784
B) 0.8937
C) 0.7795
D) 0.9611
E) 0.1063

Question

Quizplus · Accepted Answer

The probability of a missed appointment is 10%, or 0.1. The probability of not missing an appointment is 0.9. To find the probability of more than 3 cancellations/no-shows, we calculate the complement of 0, 1, 2, or 3 cancellations/no-shows occurring. Using the binomial distribution formula or a binomial calculator, we find the probabilities for 0, 1, 2, and 3 missed appointments and subtract their sum from 1. The result is approximately 0.8937, indicating a high likelihood of more than 3 missed appointments.

A Barbershop Requires Appointments for Perms and Hair Cuts