1. The completion times for a job task range from 10.8 minutes to 18.3 minutes and are thought to be uniformly distributed.
What is the probability that it will require between 13.7 and 17.3 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).
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).
3.Suppose the variable x is represented by a standard normal distribution.
What value of x is at the 60th percentile of the distribution? Equivalently, what is the value for which there is a probability of 0.60 that x will be less than that value?
Please round your answer to the nearest hundredth.
4. Major league baseball game durations are normally distributed with a mean of 150 minutes and a standard deviation of 30 minutes.
What is the probability of a game duration of fewer than 175 minutes?
Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).
5. Suppose the daily customer volume at a call center has a normal distribution with mean 5,200 and standard deviation 750.
What is the probability that the call center will get more than 4,500 calls in a day?
Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).
6. The sales department has determined that the average purchase value for their catalog business is normally distributed with a mean of $21.34 and a standard deviation of $9.33.
What is the purchase value at the 10th percentile?
Please round your answer to the nearest cent.
7. The duration of shoppers' time in BrowseWorld's new retail outlets is normally distributed with a mean of 41.8 minutes and a standard deviation of 17.3 minutes.
How long must a visit be to put a shopper in the longest 20 percent?
Please round your answer to the nearest tenth.