What is the average and standard deviation of the number of calls that the call center receives: a. during two 8-hour work shifts? b. during one hour? c. during 8 hours?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The call centre of a big bank in Toronto receives, on average, 3000
calls during an 8-hour shift. Answer the following questions given that the number of calls
during an 8-hour shift has a Poisson distribution,

What is the average and standard deviation of the number of calls that the call center receives:

a. during two 8-hour work shifts?
b. during one hour?
c. during 8 hours?

What is the probability that the call center receives:

d. exactly 3000 calls during an 8-hour shift?
e. More than 2700 calls during an 8-hour shift?
f. Between 720 and 730, inclusive, calls during a 2-hour shift? 

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