For the past 111 years a certain state suffered 39 direct hits from a major category 3 to 5 hurricane. Assume this was typical and the number of hits per year follows a Poisson distribution. a.) what is the probability that the state will not be hit by any major hurricanes in a single year? b.) what is the probability that the state will be hit by at least one major hurricane in a single year? c.) what is the probability that the state will be hit by at least 3 major hurricanes in a single year, as happened several years ago? d.) what is the probability that the state will be hit by at last two major hurricanes in a single year, as happened last year?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
For the past 111 years a certain state suffered 39 direct hits from a major category 3 to 5 hurricane. Assume this was typical and the number of hits per year follows a Poisson distribution.
a.) what is the
b.) what is the probability that the state will be hit by at least one major hurricane in a single year?
c.) what is the probability that the state will be hit by at least 3 major hurricanes in a single year, as happened several years ago?
d.) what is the probability that the state will be hit by at last two major hurricanes in a single year, as happened last year?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 5 images
