# Question 1. The completion times for a job task range from 9.3 minutes to 19.9 minutes and are thought to be uniformly distributed. What is the…

Question 1.

The completion times for a job task range from 9.3 minutes to 19.9 minutes and are thought to be uniformly distributed.

What is the probability that it will require between 14.7 and 17.8 minutes to perform the task?

Question 2

Suppose the variable x is represented by a standard normal distribution.

What is the probability of x < -1?

Question 3

Suppose the variable x is represented by a standard normal distribution.

What value of x is at the 90th percentile of the distribution? Equivalently, what is the value for which there is a probability of 0.90 that x will be less than that value?

Question 4

Major league baseball game durations are normally distributed with a mean of 180 minutes and a standard deviation of 45 minutes.

What is the probability of a game duration of fewer than 210 minutes?

Question 5

Suppose the daily customer volume at a call center has a normal distribution with mean 5,800 and standard deviation 900.

What is the probability that the call center will get between 5,100 and 5,300 calls in a day?

Question 6

The sales department has determined that the average purchase value for their catalog business is normally distributed with a mean of \$48.62 and a standard deviation of \$11.43.

What is the purchase value at the 10th percentile?

Question 7

The duration of shoppers’ time in BrowseWorld’s new retail outlets is normally distributed with a mean of 40.7 minutes and a standard deviation of 18.6 minutes.

How long must a visit be to put a shopper in the longest 20 percent?