Answer all questions with explanation

The dealership sells three vehicleclasses: SUV, sedan, and sport-coupe. There is also a choice of four colours: red, blue, white, orgray. SUVs make up 60% of purchases, while sedans and coupes are purchased in equal amounts. For colours, whiteand gray are chosen in the same amountsfor every vehicle type. Red is often associated with being pulled over by police, so only 5% of drivers choose it. Interestingly, coupe buyers tend to choose red 90% of the time.This is contrasted by SUV buyers, of which only 0.5%purchased their vehicle in red. While blue makes up 15% of vehicle purchases, only 1% of all buyers chose a blue coupe. For sedans, 47% of buyers chose gray.

1. What is the probability that a customer purchases a white vehicle or an SUV?

2. A red vehicle was purchased. What is the probability that it is not a sporty coupe?

3. Out of nine recent vehicles sold, what is the probability that they were not coupes, and they were either white or gray?

4. We all know that manual transmission vehicles are losing popularity(#SaveTheManuals). Some peopleare not even aware they exist. About 4% of current buyers choose manual transmission vehicles. Eighty-five percent of manual cars are sporty coupes.What percent of total dealership customers purchase a coupe with a manual transmission?

4e.Relating to 4d, what percent of total buyersat the dealershippurchased a manual transmission coupe in white?