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
On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail you receive each day follows the Poisson distribution What is the probability of receiving more than three pieces of junk mail today? O a. 0.2939 O b. 0.2639 O c. 0.2693 d. 0.2369
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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