C. The operators who place the top .83% Of the accepted call duration range are awarded a special bonus package. So, what is the minimum average call duration you should try to achieve if you want to receive the bonus package? Answer in exact fraction, or rounded to at least 2 decimal places. minutes

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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Question
A call center recruites operators on a 2 week
probationary period before hiring a select group as
permanent employees. The average time spent per
call by the operators is known to follow a normal
distribution with a mean of 32 minutes and a
standard deviation of 9 minutes. Operators with
average call durations between 25 minutes and 49
minutes during the probationary period get hired in
permanent positions; and the rest are fired.
a. What is the probability that a randomly selected
operator will get fired after the probationary
period?
Answer in exact fraction, or rounded to at least 4 decimal
places.
b. Determine the 77 percentile value for the call
duration
Answer in exact fraction, or rounded to at least 2 decimal
places.
minutes
c. The operators who place within the top 8.83% of
the accepted call duration range are awarded a
special bonus package. So, what is the minimum
average call duration you should try to achieve if
you want to receive the bonus package?
Answer in exact fraction, or rounded to at least 2 decimal
places.
minutes
Transcribed Image Text:A call center recruites operators on a 2 week probationary period before hiring a select group as permanent employees. The average time spent per call by the operators is known to follow a normal distribution with a mean of 32 minutes and a standard deviation of 9 minutes. Operators with average call durations between 25 minutes and 49 minutes during the probationary period get hired in permanent positions; and the rest are fired. a. What is the probability that a randomly selected operator will get fired after the probationary period? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 77 percentile value for the call duration Answer in exact fraction, or rounded to at least 2 decimal places. minutes c. The operators who place within the top 8.83% of the accepted call duration range are awarded a special bonus package. So, what is the minimum average call duration you should try to achieve if you want to receive the bonus package? Answer in exact fraction, or rounded to at least 2 decimal places. minutes
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