The numbers of lightning strikes on power poles in a particular district have been recorded. Records show that in the past twenty-five years there have been seven years in which no lightning strikes on poles have occurred. Assume that strikes occur randomly and independently, and that the mean number of strikes per unit time does not change.

a) What distribution applies?

b) What is the probability that more than one strike will occur next year?

c) What is the probability that exactly one strike will occur in the next two years?

d) What is the best estimate of the standard deviation of number of strikes in one year?

e)What is the probability that the district has to wait much longer before the first lightning strikes?

f) What is the probability that the district has to wait much longer before the third lightning strikes?

Answer rating: 100% (QA)

a The distribution that applies is the Poisson distribution Which is used to model the number of eve... View the full answer