KAssume that the Poisson distribution applies and that the mean number of hurricanes in acertain area is 6.1 per year.a. Find the probability that, in a year, there will be 5 hurricanes.b. In a 55-year period, how many years are expected to have 5 hurricanes?c. How does the result from part (b) compare to a recent period of 55 years in which 8 yearshad 5 hurricanes? Does the Poisson distribution work well here?a. The probability is(Round to three decimal places as needed.)b. The expected number of years with 5 hurricanes is(Round to one decimal place as needed.)c. The result from part (b) isperiod of 55 years, so the Poisson distributionsituation.Q Searchpossible&↓Cthe number of hurricanes in the recentappear to work well in the givenTime Remaining: 00:59:51Recording SessionPrtScnNextEvit HonorloHome

Given that: Mean number of hurricanes, λ=6.1

Answered: W Assume that the Poisson distribution…

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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Assume that adults have IQ scores that are normally distributed with a mean of m = 105 and a standard deviation s =15. Find the probability that a randomly selected adult has an IQ between 91 and 119. The probability that a randomly selected adult has an IQ between 91 and 119 is ____.
In a recent year, a hospital had 4463 births. Find the mean number of births per day, then use that result and the Poisson distribution to find the probability that in a day there are 14 births. Does it appear likely that on any given day, there will be exactly 14 births?
In a recent year, a hospital had 4142 births. Find the mean number of births per day, then use that result and the Poisson distribution to find the probability that in a day, there are 13 births. Does it appear likely that on any given day, there will be exactly 13 births?
Note: This question is for practice only. Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.2 per year. a. Find the probability that, in a year, there will be 4 hurricanes. b. In a 55-year period, how many years are expected to have 4 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 9 years had 4 hurricanes? Does the Poisson distribution work well here?
8. Final: For recent period of 100 years, there were 530 Atlantic hurricanes. Assume the Poisson distribution is a suitable model, find the probability that less than 3 hurricanes in a randomly selected year. O a. .1901 O b. None of the above O C. .2075 O d. .3701 O e..1016 日田

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.8 per year. a. Find the probability that, in a year, there will be 6 hurricanes. b. In a 45-year period, how many years are expected to have 6 ��hurricanes? c. How does the result from part (b) compare to a recent period of 45 years in which 5 years had 6 hurricanes? Does the Poisson distribution work well here?
q10
The average processing time of a kiosk in a McDonald's store is 4.5 minutes, and there are 3 kiosks. The average interarrival time is 2.5 minutes. Suppose the arrival follows a Poisson process, and the processing time follows an exponential distribution. What is the average time a customer waits for using a kiosk? a. 5.31 minutes b. 2.19 minutes c. 1.47 minutes d. 4.85 minutes
3
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.2 per year. a. Find the probability that, in a year, there will be 5 hurricanes. b. In a 55-year period, how many years are expected to have 5 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 6 years had 5 hurricanes? Does the Poisson distribution work well here?
Suppose the time it takes for guests to wait for an elevator at the lobby of a certain office building has a uniform distribution between 0 and 4 minutes. What is the probability that, the next time you need to take this elevator, you'll have to wait at most 1.6 minutes? (Your answer should be a decimal. Round to 4 decimal places if necessary.)

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