6.3 Consider the chance experiment in which the type of transmission—automatic (A) or manual (M)—is recorded for each of the next two cars purchased from a certain dealer.

a. What is the set of all possible outcomes (the sample space)? (Hint: See Example 6.2.)

b. Display the possible outcomes in a tree diagram.

c. List the outcomes in each of the following events.

Which of these events are simple events? (Hint:

See Example 6.3.)

i. B the event that at least one car has an automatic transmission ii. C the event that exactly one car has an automatic transmission iii. D the event that neither car has an automatic transmission

d. What outcomes are in the event B and C? In the event B or C?