(Answered) Question during a typical pennsylvania winter i80 averages

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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.

(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.

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