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 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?
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