At a local bar in a small Midwestern town, beer and wine are the only two alcoholic options. The manager noted that of all male customers who visited over the weekend, 150 ordered beer, 40 ordered wines, and 20 asked for soft drinks. Of female customers, 38 ordered beer, 20 ordered wines, and 12 asked for soft drinks.
a. Construct a contingency table that shows frequencies for the qualitative variables Gender (male or female) and Drink Choice (beer, wine, or soft drink).
b. Find the probability that a customer orders wine.
c. What is the probability that a male customer orders wine?
d. Are the events “Wine” and “Male” independent? Explain using probabilities.