A new residential area which is to include a parking garage is planned.

There will be room for 200 families and the number of cars per family has mean 0.8 and standard deviation 0.6.

(a) Find the mean and standard deviation of the total number of cars.

(b) If the garage has 170 parking spots, find the (approximate) probability that there will be room for all cars.

(c) To be at least 99% certain that there will be room for all cars,

how many spots should the garage have?