Meteorology: Winter Conditions Much of Trail Ridge Road in Rocky Mountain National Park is over 12,000 feet high. Although it is a beautiful drive in summer months, in winter the road is closed because of severe weather conditions. Winter Wind Studies in Rocky Moun- tain National Park by Glidden (published by Rocky Mountain Nature Association) states that sustained gale - force winds (over 32 miles per hour and often over 90 miles per hour) occur on the average of once every 60 hours at a Trail Ridge Road weather station.

(a) (2pts) Let r = frequency with which gale-force winds occur in a given time interval. Explain why the Poisson probability distribution would be a good choice for the random variable r.

(b) (4pts) For an interval of 108 hours, what are the probabilities that r<2

(b) (4pts) For an interval of 180 hours, what are the probabilities that r = 2 or r = 3