A history professor finds that when he schedules an office hour at the 10:30 a.m. time slot, an average of threestudents arrive. Use the Poisson distribution to find the probability that in a randomly selected office hour inthe 10:30 a.m. time slot exactly seven students will arrive.
A) 0.0216
B) 0.0004
C) 0.0034
D) 0.0001

Question

Quizplus · Accepted Answer

The Poisson distribution is given by the formula P(X = k) = (e^-λ * λ^k) / k!, where λ is the average number of arrivals. In this case, λ = 3, so the probability of exactly 7 students arriving is P(X = 7) = (e^-3 * 3^7) / 7! = 0.0216.

A History Professor Finds That When He Schedules an Office