Statistics - Items on a production vein are inspected?
Items on a production line are inspected one at a time and the probability that a given item is found to be defective is p = 0:05, independently of the other items. Suppose that 4 items are inspected.
1- What is the probability of at least one defective item?
2- What is the probability that exactly partially are defective?
Answers:
1) probability of AT LEAST 1 defective = 1 - probability that NONE are defective = 1 - p^4 = 0.99999375
2)probability that half defective= 2 defective AND 2 not defective
=p^2*(1-p)^2={p*(1-p)}^2=0.00225625
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1- What is the probability of at least one defective item?
2- What is the probability that exactly partially are defective?
Answers:
1) probability of AT LEAST 1 defective = 1 - probability that NONE are defective = 1 - p^4 = 0.99999375
2)probability that half defective= 2 defective AND 2 not defective
=p^2*(1-p)^2={p*(1-p)}^2=0.00225625
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