A shoe business bids for 10 large shoe repair jobs The proba

A shoe business bids for 10 large shoe repair jobs. The probability it will get any one of these shoe repair jobs is 0.2. These jobs are for a diverse set of businesses and so they are independent.

If the shoe business gets all of these jobs, it will have a hard time getting the work done. What is the probability it will get all ten jobs?

X = number of jobs the shoe business gets

a. X ~ binomial

b. X ~ hypergeometric

c. X ~ Poisson

d. X ~ Uniform

Solution

It is Binomial because we have to choose r succeses out of n successes and poisson is used as an approximation when n is sufficiently large.