Emilio, the owner of Pepe Delgados, is interested in taking a more statistical approach to predicting customer load. He begins the process by gathering data on the number of arrivals in five-minute intervals. The data below represent the arrivals in five-intervals between 7:00p and 8:00p every Saturday for three weeks. Assume that arrivals are Poisson distributed. The questions that follow pertain to the 7:00p to 8:00p time period. *Image Attached* a. Compute lambda using the data from all three weeks as one data set. b. What is the probability that no customers arrive during any five-minute interval? c. What is the probability that six or more customers arrive during any five-minute interval? d. What is the probability that during a 10-minute interval fewer than four customers arrive? e. What is the probability that no customers arrive during any 10-minute interval? Compare with part b. f. What is the probability that exactly eight customers arrive in any 15-minute interval?
Emilio, the owner of Pepe Delgados, is interested in taking a more statistical approach to
predicting customer load. He begins the process by gathering data on the number of arrivals in
five-minute intervals. The data below represent the arrivals in five-intervals between 7:00p and
8:00p every Saturday for three weeks. Assume that arrivals are Poisson distributed. The
questions that follow pertain to the 7:00p to 8:00p time period.
*Image Attached*
a. Compute lambda using the data from all three weeks as one data set.
b. What is the
c. What is the probability that six or more customers arrive during any five-minute
interval?
d. What is the probability that during a 10-minute interval fewer than four customers
arrive?
e. What is the probability that no customers arrive during any 10-minute interval?
Compare with part b.
f. What is the probability that exactly eight customers arrive in any 15-minute interval?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
