A large lot of manufactured items contains 10% with exactly 1 defect, 5% with mo

Question

A large lot of manufactured items contains 10% with exactly 1 defect, 5% with more than 1 defect, and the remainder with no defects. Let Y1 =number with 1 defect, p1 =.1 (probability of 1 defect) Let Y2 =number with >1 defect, p2 =.05 (probability of >1 defect) Let Y3 =number with 0 defects, p3 =.85 (probability of 0 defects) Ten items are randomly selected from this lot for sale. (a) Find the probability that 6 have no defects, 3 have 1 defect and 1 has more than 1 defect. (b Find E[Y1 ],E[Y2 ],E[Y3 ],V[Y1 ],V[Y2 ],V[Y3]. (c) Find cov(Y1,Y2 ) cov(Y3,Y1) and cov(Y2,Y3).

Explanation / Answer

This is super easy. It's a simple multinomial probability problem. Read your textbook

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