Question

23. During hurricane season, the number of tropical storms per month that come with 100 miles of Cuba has a binomial distribution with mean 1 and maximum value 4, and the number of tropical storms in each month is independent of the number in other months. If there are no tropical storms during the first month of the season, what is the probability that the first tropical storm of the season comes during the fourth month? A. 0.032 B. 0.042 C. 0.059 D. 0.068 E. 0.088

Answer 1

The solution to this problem is given by

Solution Given The numer of tropical Storms? sayox' has binomial distribution with canel maximum value 4. mean ! hp = nu e) up=1 bi V 9 - 1 - 1 ml- 4 2 81 256 21 The probability of not coming any storm is given by binomial theorem = P(x=0) = (1/4) The Probability that the first tropical Stormy of the season comes during the fourth is given by geometric alistribution- 2 २. X こ 175 256 'where b = 1- 81 256 175 256 256 - 0.0684 Ang. (D).0.0 684