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A telephone company's goal is to have no more than five monthly line failures on any 100 miles of line. The company currently experiences an average of two monthly line failures per 50 miles of line. Let x denote the number of monthly line failures per 100 miles of line. Assuming x has a Poisson distribution:
a. Find the probability that the company will meet its goal on a particular 100 miles of line.
b. Find the probability that the company will not meet its goal on a particular 100 miles of line.
c. Find the probability that the company will have no more than five monthly failures on a particular 200 miles of line.
d. Find the probability that the company will have more than 12 monthly failures on a particular 150 miles of line.
Over the past few years the percentage of students who leave Lakeland College at the endof the first year has increased. Last year Lakeland started a voluntary one-week orientationprogram to help first-year students adjust to campus life.
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Johnny Comlatey has 53% of votes among all voters in two-way race. Probability that newspaper's poll of 380 voters would forecast Johnny Comlatey's opponent the winner is?
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