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assume the failure rate per 100 miles of powerline has a Poisson distribution with mean of 12 failure per month. Use Statcrunch to find the probability that we observe:a- exactly 14 failures in a month over 100 miles or powerline.b- At most 10 failures in a month over 100 miles or powerline.c- At least 15 failures in a month over 100 miles or powerline.d- What is the probability of observing at most 3 failures in 50 miles of powerline in a month. Hint must prorate the failure rate from 100 miles to 50 miles.