Question

Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards, and 20 are selected without replacement for functional testing.

a. If 20 cards are defective, what is the probability that at least 1 defective card is in the sample?

b. If5cardsaredefective, what is the probability that at least 1 defective card appears in the sample?

c. Calculate mean and variance of the number of defectives in the sample when 5 cards are defective.

Answer #1

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Printed circuit cards are placed in a functional test after
being populated with semiconductor chips. A lot contains 140 cards,
and 20 are selected without replacement for functional testing.
Calculate mean and variance of the number of defectives in the
sample when 5 cards are defective.

A lot of 101 semiconductor chips contains 25 that are
defective.
(a)
Two are selected, one at a time and without replacement from
the lot. Determine the probability that the second one is
defective.
(b)
Three are selected, one at a time and without replacement. Find
the probability that the first one is defective and the third one
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A lot of 106 semiconductor chips contains 29 that are defective.
Round your answers to four decimal places (e.g.
98.7654).
a) Two are selected, at random, without replacement, from the
lot. Determine the probability that the second chip selected is
defective.
b) Three are selected, at random, without replacement, from the
lot. Determine the probability that all are defective.

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