You are a manager at a call-center that handles customer queries for an online shoe company. The past evidence suggests that customer phone calls follow a Poisson distribution and average 6 phone calls per hour. This info helps you estimate your staffing needs. a) Estimate number of expected phone calls in an 8-hour shift. b) Estimate the probability that the call-center receives 5 calls in a 20-minute period. c) What is the probability the call-center receives no more than 2 phone calls during a 20- minute period? d) What is the probability the call-center receives at least 3 phone calls during a 20-minute period?
You are a manager at a call-center that handles customer queries for an online shoe company. The past evidence suggests that customer phone calls follow a Poisson distribution and average 6 phone calls per hour. This info helps you estimate your staffing needs. a) Estimate number of expected phone calls in an 8-hour shift. b) Estimate the probability that the call-center receives 5 calls in a 20-minute period. c) What is the probability the call-center receives no more than 2 phone calls during a 20- minute period? d) What is the probability the call-center receives at least 3 phone calls during a 20-minute period?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:You are a manager at a call-center that handles customer queries for an online shoe
company. The past evidence suggests that customer phone calls follow a Poisson
distribution and average 6 phone calls per hour. This info helps you estimate your
staffing needs.
a) Estimate number of expected phone calls in an 8-hour shift.
b) Estimate the probability that the call-center receives 5 calls in a 20-minute period.
c) What is the probability the call-center receives no more than 2 phone calls during a 20-
minute period?
d) What is the probability the call-center receives at least 3 phone calls during a 20-minute
period?
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VIEWStep 2: Calculating the expected calls in an 8-hours shift
VIEWStep 3: Calculating the probability that the call-center receives 5 calls in 20 minutes period
VIEWStep 4: Calculating the probability the call-center receives no more than 2 phone calls during 20 minutes
VIEWStep 5: Calculating the probability the call center receives at least 3 calls during 20 minutes period
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