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 0.48. 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.O A. The event in part (a) is unusual.O B. The event in part (b) is unusual.O C. The event in part (c) is unusual.O D. None of the events are unusual.

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(a) Obtain the probability that exactly one major hurricane will strike the main land. The probability that exactly one major hurricane will strike the main land is obtained below as follows: The required probability is, Use Excel to obtain the probability value for x equals 1. Follow the instruction to obtain the P-value: Open EXCEL Go to Formula bar. In formula bar enter the function as“=POISSON” Enter the value of x as 1. Enter the mean as 0.48. Enter the cumulative as false. Click enter. EXCEL output: From the Excel output, the P-value is 0.2970 The probability that exactly one major hurricane will strike the main land is 0.2970. (b) Obtain the probability that at most one major hurricane will strike the main land. The probability that at most one major hurricane will strike the main land is obtained below as follows: Use Excel to obtain the probability value for x equals 1. Follow the instruction to obtain the P-value: Open EXCEL Go to Formula bar. In formula bar enter the function as“=POISSON” Enter the value of x as 1. Enter the mean as 0.48. Enter the cumulative as True. Click enter. EXCEL output: From the Excel output, the P-value is 0.9158 The probability that at most one major hurricane will strike the main land is 0.9158.(c ) Obtain the probability that more than one major hurricane will strike the main land. The probability that more than one major hurricane will strike the main land is obtained below as follows: The required probability is, The probability that more than one major hurricane will strike the main land is 0.0842. Determine which of the events are Unusual. Since, the all the probabilities obtained are greater than 0.05, it can be concluded that none of the events are Unusual. Correct option: Option D

Math

Statistics

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 huricane is a hurricane with wind speeds of 111 mies 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 0.48. Find the probability that in a given year (a) exactiy one major hurricane will strike the mainland, (b) at most one major hurnicane will strike the mainland, and (c) more than one major hurricane will strike the mainland, (a) P(exactiy one major hurricane will strike the mainland) =O (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 OA. The event in part (a) is unusual OB. The event in part (b) is unusual. OC. The event in part (c) is unusual OD. 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 huricane is a hurricane with wind speeds of 111 mies 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 0.48. Find the probability that in a given year (a) exactiy one major hurricane will strike the mainland, (b) at most one major hurnicane will strike the mainland, and (c) more than one major hurricane will strike the mainland, (a) P(exactiy one major hurricane will strike the mainland) =O (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 OA. The event in part (a) is unusual OB. The event in part (b) is unusual. OC. The event in part (c) is unusual OD. None of the events are unusual

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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