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. Suppose sustained gale-force winds (over 32 miles per hour and often over 90 miles per hour) occur on the average of once every 65 hours at a Trail Ridge Road weather station. 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. For an interval of 104 hours, what is the probability that r = 2? (Round your answer to four decimal places.) For an interval of 104 hours, what is the probability that r = 3? (Round your answer to four decimal places.) For an interval of 104 hours, what is the probability that r = 4? (Round your answer to four decimal places.) For an interval of 104 hours, what is the probability that r < 2? (Round your answer to four decimal places.) For an interval of 195 hours, what is the probability that r = 3? (Round your answer to four decimal places.) For an interval of 195 hours, what is the probability that r = 4? (Round your answer to four decimal places.) For an interval of 195 hours, what is the probability that r = 5? (Round your answer to four decimal places.) For an interval of 195 hours, what is the probability that r < 3? (Round your answer to four decimal places.)