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 find the probabilities. A major 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 0.65. 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. (a) P(exactly one major hurricane will strike the mainland) = (Round to three decimal places as needed.) (b) P(at most one major hurricane will strike the mainland) = (Round to three decimal places as needed.) (c) P(more than one major hurricane will strike the mainland) = (Round to three decimal places as needed.) Which of the events are unusual? Select all that apply. A. The event in part (a) is unusual. B. The event in part (b) is unusual. C. The event in part (c) is unusual D. None of the events are unusual.
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 find the probabilities. A major 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 0.65. 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. (a) P(exactly one major hurricane will strike the mainland) = (Round to three decimal places as needed.) (b) P(at most one major hurricane will strike the mainland) = (Round to three decimal places as needed.) (c) P(more than one major hurricane will strike the mainland) = (Round to three decimal places as needed.) Which of the events are unusual? Select all that apply. A. The event in part (a) is unusual. B. The event in part (b) is unusual. C. The event in part (c) is unusual D. None of the events are unusual.
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 18T: You attend a karaoke night and hope to hear your favorite song. The karaoke song book has 300...
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Transcribed Image Text: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 find the probabilities.
A major 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 0.65. 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.
(a) P(exactly one major hurricane will strike the mainland)
(Round to three decimal places as needed.)
(b) P(at most one major hurricane will strike the mainland) =
(Round to three decimal places as needed)
(c) P(more than one major hurricane will strike the mainland) =
(Round to three decimal places as needed.)
Which of the events are unusual? Select all that apply.
A. The event in part (a) is unusual
B. The event in part (b) is unusual.
C. The event in part (c) is unusual.
D. None of the events are unusual,
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