In: Statistics and Probability
Sarah is the owner of Sarah’s Pub, and her best business is on Friday and Saturday nights when customers buy plenty of alcoholic beverages (alcohol). After studying a large sample of receipts from Friday and Saturday nights, Sarah knows the following. 73% of her orders on these nights involve at least one alcohol sale. 23% of her customers order only alcohol, 28% have dinner plates, and the rest have sandwiches. Of those who order dinner plates, 60% order alcohol; and of those who order sandwiches, 89% order alcohol. Sarah still has questions, as do I.
1. (5 points) What is the probability that a randomly selected customer orders a sandwich?
Type the answer and any work below. Write one sentence interpreting the result.
2. (5 points) What is the probability a randomly selected customer ordered alcohol and a
sandwich? Type the answer and any work below. Write one sentence
interpreting the result.
3. (5 points) What is the probability a randomly selected customer ordered alcohol or a
sandwich? Type the answer and any work below. Write one sentence
interpreting the result.
4. (5 points) What is the probability a randomly selected orders alcohol and a dinner plate? Type
the answer and any work below. Write one sentence interpreting the result.
5. (5 points) Are orders for alcohol and orders for dinner plates independent events? Type the
answer and any work below. You must report two probabilities and explain your
reasoning to receive credit for this answer.