klupko5HR

2022-12-05

Red Widget Strategies wants to improve its customer service by being more efficient in how phone calls are processed. Toward that end, Red Widget does a statistical analysis of 1,000 outbound phone calls. The length of the calls is normally distributed, with a population mean = 240 seconds, and a population standard deviation = 40 second.
a. What is the probability that a particular call lasted less than 180 seconds?
b. What is the probability that a particular call lasted between 180 and 300 seconds?
c. What is the probability that a call lasted between 110 and 180 seconds?
d. What is the probability that a call lasted more than 300 seconds?

greffhc

Expert

Solution:
Given that,

Using z table

Probability = 66.8
b)
Using z table

Probability = 866.4
c)
Using z table

Probability = 66.2
d)
Using z table

Probability = 66.8

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