Question

X digital C Assume That The Pos X X Cin A Recent? Year, An Four of the Fles * Assignments Take a TestJose Getx * + e combination lock uses three numbers between 1 and 50 with repetition, and they must be selected in the correct sequence is the name of "combination Math 165 Late Start Fall 2019 8 weeks Version 2 Test: Test 2 31 of 35 (31 complete) This Question: 1 pt Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.4 per year. a. Find the probability that, in a year, there will be 4 hurricanes b. In a 56-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 6 years had 4 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 4 hurricanes is (Round to one decimal place as needed.) c. The result from part(b) is the number of hurricanes in the recent period of 55 years, so the Poisson distribution does not appear to work well in the given situation

Answer 1

@ xl The poisson distribution is given by P(xH) = eu et Given that the mean no. of hurricanes in a Certain area is 6.4 per year , M= 6.4 The probability That, in a year, there will be 4 hurricanes i given by pa P (4;6.4) = é by (6.4) ul = 0.11615 6 In a 55 year period. The nood years That are expected to have a hurricanes is = 0.11615855 6.388 the poisson Distribution not worked here because the observed value of the no of cagetes hurricanes occured En 55 years period which į 4 is not closed to The value at which is cakeelated is 6.388