Question: During a typical Pennsylvania winter, I80 averages 1.6 potholes per 10 miles. A certain county is responsible for repairing potholes in a 30-mile stretch of the interstate. Let X denote the number of potholes the county will have to repair at the end of next winter.
(a) The distribution of the random variable X is (choose one)
(i) binomial
(ii) hypergeometric
(iii) negative binomial
(iv) Poisson.
(b) Give the expected value and variance of X.
(c) Find P(4 < x="" ≤="" 9).="">
(d) The cost of repairing a pothole is $5000. If Y denotes the county's pothole repair expense for next winter, find the mean value and variance of Y.