Exercise 5.6 The number of cracks that need repair in a section of interstate highway follows a Poisson distribution with a mean of two cracks per mile. 1. Determine the probability mass function of the number of cracks (X) in 5 miles of highway. 2. Find the probability that there are at least five cracks in 5 miles of highway that require repair. 3. Calculate the mean and variance of X.

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