Question:-
Arrivals at a telephone booth are considered be Poisson with an average time of 10 minutes between one arrival and the next. The length of a phone call is assumed to be distributed exponentially with a mean of 3 minutes. The probability that a person arriving at the booth will have to wait, is
Option (A)
0.043
Option (B)
0.300
Option(C)
0.429
Option(D)
0.700
Correct Option:
(B)
Question Solution:
l = (60/10) = 6
m = (60/3) = 20
r = (l/m) = (6/20) = 0.3
\ Probability that a person arriving at the booth will have to wait is 0.3
question-answer-faq-8765