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Asked Dec 16, 2019

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a. The length of time it takes to fill an order at a ABC sandwich shop is normally distributed with a mean of 6 minutes and a standard deviation of 2 minute. What is the probability that the average waiting time for a random sample of 100 customers is between 5.6 and 6 minutes?

b. The length of time it takes to fill an order at a DEF sandwich shop is normally distributed with a mean of 5 minutes and a standard deviation of 2 minute. Suppose the probability that the average waiting time for a random sample of customers between 4.75 and 5 minutes is 0.3413. What is the number of customers in the sample?

c. The length of time it takes to fill an order at a XYZ sandwich shop is normally distributed with a mean of 7 minutes. Suppose the probability that the average waiting time for a random sample of 36 customers between 6.8 and 7.2 minutes is 0.383. What is the standard deviation of the waiting time?

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