A large proportion of small businesses in the United States fail during the first few years of

Question:

A large proportion of small businesses in the United States fail during the first few years of operation. On average, 1.6 businesses file for bankruptcy per day in a particular large city.
a. Using the Poisson formula, find the probability that exactly 3 businesses will file for bankruptcy on a given day in this city.
b. Using the Poisson probabilities table, find the probability that the number of businesses that will file for bankruptcy on a given day in this city is
i. 2 to 3
ii. More than 3
iii. Less than 3