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The distance students commute at a certain college ranges from 7 to 23 miles. A student...

The distance students commute at a certain college ranges from 7 to 23 miles. A student is equally likelyto have any commuting distance within the range. Let X be the random variable representing the commuting distance by the students at the college. Answer each question.

  1. Sketch the graph of the density function of X.

  2. What is the probability that a student commutes less than 12 miles?

  3. What is the 77th% percentile of the commuting distance?

  4. It’s also known that X has the mean of 15 miles and the standard deviation of 4.6 miles. If 32 students are randomly selected, what is the probability that their average commuting distance is more than 13.2 miles?

Math   Statistics-And-Probability   
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