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Company A receives large shipments of microprocessors from Company B. It must try to ensure the...

Company A receives large shipments of microprocessors from Company B. It must try to ensure the proportion of microprocessors that are defective is small. Suppose Company A decides to test ten microprocessors out of a shipment of thousands of these microprocessors. Suppose that if at least one of the microprocessors is​ defective, the shipment is returned. Complete parts a through c.

a. if Company B's shipment contains 13% defective microprocessors, calculate the probability the entire shipment will be returned.

The probability is _________ (round 4 decimal places)

b. If company B and Company A agree that Company B will not provide more than 4% defective chips, calculate the probability that the entire shipment will be returned even though only 4% are defective.

The probability is ________ (round 4 decimal places)

c. Calculate the probability that the entire shipment will be kept by Company A even though the shipment has 13% defective microprocessors.

The probability is _________ (round to 4 decimal places)

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Answer #1

The the number of defective microprocessors out of 10 has follows Binomial distribution with
The PMF of is

a) The probability the entire shipment will be returned is (here )

b) The probability the entire shipment will be returned is ()

c) The probability that the entire shipment will be kept by Company A even though the shipment has 13% defective microprocessors is the complementary probability of that calculated in part (a),

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