The number of new cars sold by a company in a nancial year can be approximated by a

normal distribution with a mean of 125,000 cars and a standard deviation of 55,000 cars.

1) If the company set a goal of selling more than 100,000 cars per year, calculate the z score.

2) If the company set a goal of selling more than 100,000 cars per year, calculate the

probability the company will not reach the goal.

3) If the company set a goal of selling more than 100,000 cars per year, calculate the

probability the company will reach the goal.

4) Find the number of cars sales that the company has only a 10% chance of achieving next

year.