Avis Rent, a South African car$-$rental company, has determined that the probability a car will need service work in any given month is $0\mathrm{.}15.$ Avis Rent has $1500$ cars.

a$.$ What is the probability that more than $250$ cars will require service work in a particular month?

b$.$ What is the probability that fewer than $220$ cars will need service work in a given month?

Click the icon to view the standard normal table of the cumulative distribution function.