Two hundred shoppcrs at a large suburban mall were asked two questions: (1) Did you see a television ad for the sale at department store X during the past two weeks? (2) Did you shop at department store X during the past two weeks?

The responses to these quections are summarized in the table. One of the 200 shoppers qucstioned is to be chosen at random.

Shopped at X Did Not Shop at X Saw ad 100 25 Did not see ad 25 50

a. What is the probability that the person selected saw the ad?

b. What is the probability that the person selected saw the ad and shopped at store X?

c. Find the conditional probability that the person shopped at store X given that the person saw the ad.

d. What is the probability that the person selected shopped at store X?

e. Use your answers to parts

a, b, and d to check the independence of the events {Saw ad} and

{Shopped at XI.

f. Are the two events (Did not see ad] and {Did not shop at X] mutually exclusive? Explain.