The overall average age for new-car buyers is 36 years old. Below, a table lists the average age of a sample of customers that recently came in to purchase a new vehicle (SED = sedan). Age 31 37 33 29 37 41 42 35 39 34 42 35 34 33 38 38 Purchase SED SUV SED SUV SUV SED SED SED SED SUV SUV SUV SED SED SED SED

a. The dealership believes that younger people tend to gravitate to used cars. To test this, they looked up the age of the last five used car purchasers. They were 36, 20, 28, 23, and 26 years old. Is their hypothesis supported?

b. Is age relative to the average an independent probability from the type of vehicle purchased?

c. What is the probability of someone under 30 purchasing an SUV?

d. If 48 customer files were viewed, how many would be expected to have been younger than the average age and purchased an SUV?

c. A potential customer comes in. They are 36 years old. Are they more likely to purchase an SUV or a sedan (SED)?

d. How many possible combinations are there for the sales of SUV or sedan?

e. Does the age of these 16 customers differ from the overall average age of new car purchasers?

f. What is the probability that a customer purchased an SUV given they are under the mean age?

g. Five of those 16 customers are selected at random. What is the probability that more than two but less than five were over the mean age and purchased a sedan (SED)?