A questionnaire concerning the effect of a recent advertising campaign was sent out to a sample of 500 consumers. Results of the study are reported in the cross-tabulation table below:

Convert the table to a joint probability table and use it to answer the following questions:
a. If a consumer is selected from the survey at random, how likely is it that he/she either saw the ad or purchased the product or did both?
b. How likely is it that a randomly selected consumer in the survey purchased the product?
c. If a randomly selected consumer in the study is known to have seen the ad, how likely is it that he/she purchased the product?
d. Are the events €œseeing the ad€ and €œpurchasing the product€ statistically independent?

Transcribed Image Text:

Saw Didn't Total Ad See Ad 100 100 250350 Purchased Didn't Purchase Total 50 150 200 300 500