1.

Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to nd the probabilities. Amajor hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the last century, the mean number of major hurricanes to strike a certain country's mainland per year was about 0.63. Find the probability that in a given year (a) exactly one major hurricane will strike the mainland, (b) at most one major hurricane will strike the mainland, and (c) more than one major hurricane will strike the mainland. Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to nd the probabilities. The mean number of heart transplants performed per day in a country is about eight. Find the probability that the number of heart transplants performed on any given day is (a) exactly ve, (b) at least seven, and (c) no more than four. Assume that police estimate that 12% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping cars to check for seatbelt use. They stop 40 cars during the rst hour. 3. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use the fact that the mean of a geometric distribution is p = and the variance is 52 = 12 P p b. How many cars do they expect to stop before nding a driver whose seatbelt is not buckled