The following Venn diagram describes cars sold last summer at Penny’s Autoland. The letter F represents four-wheel drive, S represents satellite radio, and R represents remote start.
a. How many people bought cars with four- wheel drive?
b. How many people bought cars with satellite radio and remote start?
c. How many people purchased cars with all three options?
d. How many people purchased cars with exactly one of these options?
e. How many people purchased cars at Penny’s Autoland last summer?
f. A buyer from this group is selected at random to receive lifetime free oil changes. What is the probability that they purchased remote start?
g. One person from the group that bought four-wheel drive is going to be selected at random. Find P(F).
h. Determine if F and R are independent events and explain your answer.
i. Examine the purple and yellow shaded regions on the right. Describe the difference between the types of options the two regions represent.

Transcribed Image Text:

F F F 19 19 19 5 R 5 R R 8 00 20 8 20 8 7 20 10 10 10 16 16 16 S 21 S 21 S 21