3-5. At a particular university students have either undergraduate (U) or graduate (G) status and either live

Question:

3-5. At a particular university students have either undergraduate (U) or graduate

(G) status and either live in a dorm (D) or live off campus (O). One hundred students were chosen at random: 77 were undergraduates, 80 lived in the dorms, and 70 undergraduates lived in the dorms. Find:

(a) P(U ∪ D)

(b) P(U ∩ D)

(c) P(G|D)

(d) P(D|U)

(e) P(D|U)

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