Please note that this question is about Random Process Suppo

(Please note that this question is about Random Process.)

Suppose N(t) is a Poisson counting process that models customer arrivals in a store, with average rate of arrivals lambda = 5 per hour. If it is given that 14 customers arrived between 1pm and 4pm, find the probability that exactly 2 customers arrived between 1 pm and 2pm. Work this problem two ways: first, using Poisson probabilities and second, using independent uniform random variables.

Solution