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Five percent of all items sold by mail-order company are returned by customers for a refund.
Find the probability (and show the tree diagram) that two of the items sold
by this company
a. Both will be returned for a refund
b. Neither will be returned for a refund
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(a) P = 0.05*0.05 = 0.0025. ANSWER
Returning two items are two independent events with the probability
of 0.05 each. Therefore, we multiply the probabilities.
(b) P = (1-0.05)*(1-0.05) = 0.95*0.95 = 0.9025. ANSWER
Non-returning two items are two independent events with the probability
of 1-0.05 = 0.95 each. Therefore, we multiply the probabilities.
Solved (with explanations).
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The words crossed out in the condition should not appear in the description of this problem.
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