Compute the probability that the system has at least one customer.
A)0.47
B)0.53
C)0.95
D)0.05

Question

Quizplus · Accepted Answer

The probability that a customer arrives is given as 0.05. So, the probability that a customer does not arrive is 1 - 0.05 = 0.95. The system can have 0 or more customers. The probability that the system has 0 customers is (0.95)^4 = 0.8145. Therefore, the probability that the system has at least one customer is 1 - 0.8145 = 0.1855 or approximately 0.95. Therefore, the best choice is C.

Compute the Probability That the System Has at Least One