Question: Need help for normal and sampling distribution questions thank you so much guys. Q1. AMART has monitored the duration of calls to its customer service

Need help for normal and sampling distribution questions thank you so much guys.

Q1.

AMART has monitored the duration of calls to its customer service line over a long period and found the duration of calls can bemodelledas a normal distribution with a true mean of 5.76 minutes and a standard deviation of 1.41 minutes. What probability of calls last between 3 and 7 minutes? Give your answer to 4 decimal places.

Q2.

A store selling air conditioners offers customers a Christmas deal during the first 13 days of December. The store promises to refund 25% of the air conditioner purchase price if the average temperature, over the first 13 days of December, is more than 2.5 degrees above the mean temperature for the first 13 days in December. Historical data indicates that daily temperatures in the first 13 days of December are normally distributed with a mean of 29.0 degrees and a standard deviation of 4.7 degrees. What is a probability that a customer will receive a 25% refund? (4decplaces)

Q3.

A study measured the amount of consultation time physicians took with patients. From the study, it was determined that the consultation time was normally distributed with a mean of 15 minutes and a standard deviation of 2 minutes.Twenty percent of the patients require more than how many minutes? Select from the answers below.
A.13.32
B.16.68
C.16.00
D.18.45

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