Suppose that a teacher normally gives 15% A\'s, 25% B\'s, 35% C\'s,15% D\'s, and

Question

Suppose that a teacher normally gives 15% A's, 25% B's, 35% C's,15% D's, and 10% F's. Suppose she has a class of 50 students.
(a) Find the probability that she gives 8 A's, 10 B's, 20 C's, 8D's, and 4 F's and the conditional probability that she gives 8A's, 10 B's and 20 C's given that she gives 8 D's and 4 F's.

(b) Find the probability that she gives 8 A's, 10 B's, 20 C's, and12 D's and F's and the conditional probability of 8 A's, 10 B's and20 C's given 12 D's and F's.

(c) Find the probability that she gives 8 A's and 4 F's and theconditional probability of 8 A's given 4 F's.

(d) Find the probability 40 students pass (get A, B, or C).Approximate the probability that at least 40 pass.

(e) Approximate the probability that more people get A's or B'sthan get D's or F's.

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