HW Score: 375 5.3.5-T Assume that the Poisson distribution applies and that the

Question

HW Score: 375 5.3.5-T Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.3 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 con pare to a re ent period of 55 years in which 8 years had 5 hu anes? Does the Pois nd thd work wdhm &The; probablity is (Round to three decimal places as needed) Enter your answer in the answer box and then dlick Check Answer Clear Al Check Answer re to search alt

Explanation / Answer

a)

here P(5 hurricanes)=e-6.3*6.35/5! =0.152

b)

expected periods =np=55*0.152=8.36

c) as it is very near to expected figure; hence poisson distribution works very good here

( please revert for any clarification required)

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