Question

In: Statistics and Probability

At an auto parts place, the inspection time for a vehicle is approximately normally distributed with...

At an auto parts place, the inspection time for a vehicle is approximately normally distributed with the mean 25 minutes and the standard deviation 3 minutes.

1) What is the probability that a randomly selected car’s inspection time is between 20 and 31 minutes? Round your answer to three decimal places.

2) The owner of this auto parts places will give gift card to customer if his car takes more than the longest 5% of the inspection time. What is the required inspection time to get a gift card? Round your answer to three decimal places.

3) This place also offers free car wash, and the relationship between car’s inspection time and washing time can be written as

inspection time = 1.5 × washing time + 2.5

What are the mean and variance of total {inspection and washing} time.

Solutions

Expert Solution

Answer :- At an auto parts place, the inspection time for a vehicle is approximately normally distributed with the mean 25 minutes and the standard deviation 3 minutes.

orchestra answered 1 year ago
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