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?**

Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).

Question 2

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

**What is the probability of x < -1?**

Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).

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?**

Please round your answer to the nearest hundredth.

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?**

Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).

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?**

Please round your answer to the nearest cent.

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?**

Please round your answer to the nearest tenth.

PLEASE PLEASE DO ROUNDS ACCURATELY AND OR GIVE ME THE LONG NUMBERS SO THAT I CAN DO THE ROUNDS MYSELF

Thank you!