Assume that the monthly sales for Toyota passenger cars follow a normal distribution with mean 5000 cars and standard deviation 1400 cars.
a. There is a 1% chance that Toyota will sell more than what number of passenger cars during the next year? (You can assume that sales in different months are probabilistically independent.)
b. What is the probability that Toyota will sell between 55,000 and 65,000 passenger cars during the next year?