A manufacturer of cotter pins knows that 5 percent of his product is defective. If he sellseotter pins in boxes of 100, and guarantees that not more than 4 pins will be defective, what is the approximate probability that a box will fail to meet the guaranteed quality? (e-.0067) (B.Z.U.. B.A/B.Sc. 1988)

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A manufacturer of cotter pins knows that 5 percent of his product is defective. If he sellseotter pins
in boxes of 100, and guarantees that not more than 4 pins will be defective, what is the approximate
probability that a box will fail to meet the guaranteed quality? (e=0067)
(B.Z.U., B.A./B.Sc. 1988)
a) Find the mean and the variance of the Poisson distribution. State the relation between
(P.U., B.A./B.Sc. 1970)
binomial and Poisson distributions.
) Given that X has a Poisson distribution with variance 1, calculate P(X=2).
Criticise the following statement:
Transcribed Image Text:A manufacturer of cotter pins knows that 5 percent of his product is defective. If he sellseotter pins in boxes of 100, and guarantees that not more than 4 pins will be defective, what is the approximate probability that a box will fail to meet the guaranteed quality? (e=0067) (B.Z.U., B.A./B.Sc. 1988) a) Find the mean and the variance of the Poisson distribution. State the relation between (P.U., B.A./B.Sc. 1970) binomial and Poisson distributions. ) Given that X has a Poisson distribution with variance 1, calculate P(X=2). Criticise the following statement:
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