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)
Homework Answers
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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