People's arrivals at a register occur at a constant rate of 7 per hour. It will take about 10 minutes to service each person and that an unlimited number of servers are available, so no one has to wait for service. For a given hour, find the probability exactly 7 customers arrive. For a given hour, find the probability fewer than 3 customers arrive. For a given hour, find the probability at least 2 customers arrive. Find the mean and variance of the total service time for 1 hour. Find the probability that exactly 5 customers arrive between 2 and 4 p.m. Find the probability that exactly 5 customers between 1 and 2 p.m., and between 3 and 4 p.m.
People's arrivals at a register occur at a constant rate of 7 per hour. It will take about 10 minutes to service each person and that an unlimited number of servers are available, so no one has to wait for service. For a given hour, find the
Given that rate of arrival = 7 per hour and we can assume that arrival rate follows Poisson distribution whose pdf is given as:
P(X=x) =
Since you have posted a question with multiple subparts, we will provide solution to the first three sub-parts as per our Q&A guidelines. Please repost the remaining sub parts separately.
Step by step
Solved in 3 steps with 6 images