a. A lumber company has just taken delivery on a lot ofboards. Suppose that 20% of these
Chapter 2, Problem 86(choose chapter or problem)
a. A lumber company has just taken delivery on a lot ofboards. Suppose that 20% of these boards(2,000) are actually too green to be used in first-qualityconstruction. Two boards are selected at random, oneafter the other. Let and. Compute P(A), P(B),and (a tree diagram might help). Are A and Bindependent?b. With A and B independent and , whatis ? How much difference is there between thisanswer and in part (a)? For purposes of calculating, can we assume that A and B of part (a)are independent to obtain essentially the correctprobability?c. Suppose the lot consists of ten boards, of which two aregreen. Does the assumption of independence now yieldapproximately the correct answer for ? What isthe critical difference between the situation here and thatof part (a)? When do you think an independence assumptionwould be valid in obtaining an approximately correctanswer to ?
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