Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.9 per year.a. Find the probability that, in a year, there will be 3 hurricanes.b. In a 45-year period, how many years are expected to have 3 hurricanes?c. How does the result from part (b) compare to a recent period of 45 years in which 4 years had 3 hurricanes? Does the Poisson distribution work well here?.....a. The probability is(Round to three decimal places as needed.)

Answered: Image /qna-images/answer/7d9e582b-8c21-46fb-876a-4524cfa3e5a2.jpg

Answered: 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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The mileage (in 1,000s of miles) that car owners get with a certain kind of radial tire is a random variable having an exponential distribution with a mean of 50. a. What is the probability that a tire will last at most 40,000 miles? b. What is the probability that a tire will last at least 65,000 miles? c. What is the probability that a tire will last between 70,000 and 80,000 miles?
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?
Use the scenario below to determine the correct values of n, p, q and x of the binomial distribution. Suppose that in a certain video game there is a 5.1% item drop rate of wild meat after defeating a Beast Master. Assume 14 Beast Masters are defeated. What is the probability that 5 wild meats will drop? n = p = q = X =
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?
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?
Can I get help for question B?
A sample of a radioactive material is studied in a lab. There are 741 gamma ray emissions over 130 seconds. Use the Poisson distribution to find the probability that 1 or fewer gamma rays are emitted in a given second. Do not round intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.) ?
Researchers have shown that the num-ber of successive dry days that occur after a rainstorm for particular regions of Catalonia, Spain, is a random variable thatis distributed exponentially with a mean of 8 days. Source:International Journal of Climatology.a. Find the probability that 10 or more successive dry daysoccur after a rainstorm.b. Find the probability that fewer than 2 dry days occur aftera rainstorm.
In a recent year (365 days), there were 693 murders in a city. Find the mean number of murders per day, then use that result to find the probability that in a single day, there are no murders. Would 0 murders in a single day be a significantly low number of murders? ... The mean number of murders per day is (Round to one decimal place as needed.)
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?
Q25.If the records show that, the probability of failing (with grade F) this course is p, [use the answer of question 22 above as the probability, p, here], what is the probability that at most 2 students out of 16 fail this course? {Hint: use binomial distribution}

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