Problem 2 HIGHWAY SAFETY The highway department kept track of the number of accidents on a 10-mile stretch of a major highway every day during the month of September. They found that there were: 6 days with no accidents 8 days with one accident 7 days with two accidents 2 days with three accidents 3 days with our accidents 0 days with five accidents 2 days with six accidents 0 days with seven accidents 1 day with eight accidents 1 day with nine accidents Let X be the random variable that represents the number of accidents on a randomly chosen day in September. a. Construct a histogram for X. b. Find the expected value E(X), and give an interpretation of this number. c. Find the variance and standard deviation of X.

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A:

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