Scenario B.1 a Single Volunteer Octogenarian Usher Can Scan Tickets with a with a Handheld

Multiple Choice

Scenario B.1
A single volunteer octogenarian usher can scan tickets with a handheld device and direct theater patrons to their seats at a rate of 30 per hour with an accuracy rate approaching 23%. On average, about twenty-five customers arrive every hour for assistance and always wait, regardless of how long the line gets. Arrivals are governed by the Poisson distribution and service is governed by the exponential distribution.
-The curtain goes up at 8 pm for the play "The Life and Times of A.K. Erlang." If the parameters in Scenario B.1 are at work, what's the latest a patron of the theater would want to arrive in order to be seated before the light dims, the curtain rises, and the actor playing A.K. Erlang takes his rightful place at center stage?

A) 7:58 pm
B) 7:54 pm
C) 7:50 pm
D) 7:48 pm