Mathematics

Abigayle Goodman

16 April, 02:11

Consider a post office with two clerks. Three people (Amanda, Ben, and Clark) enter simultaneously. Amanda and Ben proceed directly to the clerks. Clark waits until either Amanda and Ben leave before he begins being served.

What is the probability that Clark is still in the post office after the other two have left, if:

a. the service time for each clerk is exactly ten minutes (i. e., not random) ?

b. the service times are either 1 minute, or 2 minutes, or 3 minutes, each with probability 1/3?

c. the service times are exponential with mean X?

d. the service times for the 2 clerks are exponential with mean 11 and 12 respectively?