Chapter 5, Problem 8SR

Consumers were surveyed on the relative number of visits to a Sears store (often, occasional, and never) and if the store was located in an enclosed mall (yes and no). When variables are measured nominally, such as these data, the results are usually summarized in a contingency table.

What is the probability of selecting a shopper who:

1. (a) Visited a Sears store often?
2. (b) Visited a Sears store in an enclosed mall?
3. (c) Visited a Sears store in an enclosed mall or visited a Sears store often?
4. (d) Visited a Sears store often, given that the shopper went to a Sears store in an enclosed mall?

In addition:

1. (e) Are the number of visits and the enclosed mall variables independent?
2. (f) What is the probability of selecting a shopper who visited a Sears store often and it was in an enclosed mall?
3. (g) Draw a tree diagram and determine the various joint probabilities.