Question: A restaurant manager classifies customers as well dressed, moderately dressed, or poorly dressed, and finds 50%, 40%, and 10% respectively of all customers fall into

A restaurant manager classifies customers as well dressed, moderately dressed, or poorly dressed, and finds 50%, 40%, and 10% respectively of all customers fall into these cate- gories. The manager found that wine was ordered by 70% of the well dressed, by 50% of the moderately dressed, and by 30% of the poorly dressed customers.

(a) What is the probability that a randomly chosen customer orders wine?

(b) If wine is ordered, what is the probability that the person ordering was well dressed?

(c) If wine is ordered, what is the probability that the person ordering was not well dressed?

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