To determine whether drinking alcoholic beverages has an effect on the bacteria that cause ulcers, researchers developed the following table of joint probabilities.

a. What proportion of people have ulcers?
b. What is the probability that a teetotaler (no alcoholic beverages) develops an ulcer?
c. What is the probability that someone who has an ulcer does not drink alcohol?
d. What is the probability that someone who has an ulcer drinksalcohol?

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Number of Alcoholic Drinks per Day Ulcer No Ulcer None One Two More than two 01 .03 03 .04 19 32 16