Disturbing news regarding Scottish police concerns the number of crashes involving vehicles on operational duties (BBC News, March 10, 2008). Statistics showed that Scottish forces'vehicles had been involved in traffic accidents at the rate of 1,000 per year. Suppose the number of crashes involving vehicles on operational duties follows a Poisson distribution.
a. What is the average number of days between successive crashes?
b. What is the rate parameter of the appropriate exponential distribution?
c. What is the probability that the next vehicle will crash within a day?