c. The operators who place within the top 5.25% 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?

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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 50
minutes and a standard deviation of 5 minutes.
Operators with average call durations between
47 minutes and 52 minutes during the
probationary period get hired in permanent
positions; and the rest are fired.
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 50 minutes and a standard deviation of 5 minutes. Operators with average call durations between 47 minutes and 52 minutes during the probationary period get hired in permanent positions; and the rest are fired.
c. The operators who place within the top 5.25%
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.
49.75
minutes X
Answer: 51.304584986597455
49.75
Transcribed Image Text:c. The operators who place within the top 5.25% 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. 49.75 minutes X Answer: 51.304584986597455 49.75
Expert Solution
Step 1

Here, µ = 50 and σ = 5.

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