In a certain city, traffic accidents during rush hour occur according to a Poisson rate of 1.7 per hour. Let Y be the waiting time (in hours) until the second accident occurs.

a) (2) Note that Y has a gamma distribution. Determine the values for r and ? .

b) (3) Determine the mean and variance for Y.

c) (4) Integrate the density function to determine the probability that it takes 0.6 hours or less for the second accident to occur. Hint: you will need integration by parts.

d) (4) Use the Poisson formulation to determine the probability that it takes 0.6 hours or less for the second accident to occur.

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