Question

On average, there are roughly 1.4 deaths in hot-air balloon accidents in the United States each year.

A10. Given that dying in a hot-air balloon accident is rare, what is the most appropriate probability distribution (out of those we have learned in class) for modeling the number of hot-air balloon fatalities per year in the US? Give the values of all distribution parameters.

A12. Using the distribution you identified in Question A10, what is the probability that we have one hot-air balloon fatalities in a given year?

Answer 1

A.10. As we know the "dying in hot air balloon accident is rare , ie. the probability of this kind of accident is rare we can fit a Poisson Distribution with this.

We know Poisson hdistribution has a single parameter , generally taken as , which is nothing but the mean of the concerned random variable. Here average death is given as 1.4 deaths per year. So, = 1.4

A.12.

Let X be the number of deaths due to hot balloon related accident .

Then X~ Poisson (1.4)

So, x = 0,1,2,....

So,

=0.3452  

If you have any doubts, let me know below in the comment section.