A company determined that on an annual basis, the distance traveled per company car is normally distributed with a mean of 50,000 miles and a standard deviation of 12,000 miles                a. What proportion of cars can be expected to travel between 34,000 and 50,000 miles in a year?                b.What is the probability that a randomly selected car travels between 34,000 and 38,000 miles?                 c. How many miles will be traveled by at least 80% of the cars?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A company determined that on an annual basis, the distance traveled per company car is normally distributed with a mean of 50,000 miles and a standard deviation of 12,000 miles

               a. What proportion of cars can be expected to travel between 34,000 and 50,000 miles in a year?

               b.What is the probability that a randomly selected car travels between 34,000 and 38,000 miles? 

               c. How many miles will be traveled by at least 80% of the cars?

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