A typhoon is a mature tropical cyclone that develops in the western part of the North Pacifi c Ocean

between 180� and 100� E. One of the countries a�ffected by typhoons is Taiwan. The typical typhoon season
in this country lasts from June to October and averages around 3.6 typhoons per season. For simplicity, we
assume the probability of arrival of a typhoon is the same for any given month of the season.
(a). What is the probability that Taiwan will experience four typhoons in a period of three months of the
cyclone season?
if the season is five months long how do you figure out this question? I'm very lost
(b). What is the probability that Taiwan will experience at least fi ve typhoons in a period of four months
of the cyclone season?
This is similar to (a) but over five months so I still don't gt it.
(c). In the season of 2014, Taiwan experienced only two typhoons (Matmo and Vongfong). Does it indicate
that the number of typhoons per season is decreasing? Support your answer by indicating a relevant
probability.
I would assume that there is not enough evidence to prove that the typhoons are decreasing each year as these figures are only for a period of one season.
I have revisited this question and this is what i've come up with....
get the average typhoons per month, so 3.6/5=0.72
then for part a. use the binomial coefficient equation????and then the same for b. just different numbers.
And then part c. has blown me away??
Some advice would be nice.

1 answer

Can someone please help me out with this?????
Any hint would be great.