Tree and Venn Diagrams · Exercise 11

Use the following information to answer the next two exercises. The following data represent the number of new vehicles purchased over a monthly time period in a certain county, within two age groups: people in their twenties and people in their thirties.
$$\begin{array}{cccccc}& \text{Sedan}& \text{SUV}& \text{Minivan}& \text{Other}& \text{Totals}\\ \text{Twenties}& \text{1,135}& \text{290}& \text{583}& \text{158}& \\ \text{Thirties}& \text{1,246}& \text{463}& \text{241}& \text{190}& \\ \text{Totals}& & & & & \end{array}$$

Suppose a person from this county is randomly selected.

(a) Find P(Person is in their twenties).
(b) Find P(Person purchases minivan).
(c) Find P(Person is in their twenties OR purchases an SUV).
(d) Find P(Person is in their twenties AND purchases a SEDAN).
(e) Find P(Person is in their thirties AND purchases an SUV).
(f) Find P(Person is in their twenties GIVEN person purchases a minivan).

OpenStax, Introductory Statistics 2e · §3.5 Tree and Venn Diagrams · Exercise 11