Probability and Statistics Defective Product
1. A large shipment of computer chips is known to contain 8%
defective chips. Suppose you select 500 chips at random.
(a) What distribution does the number of defective chips in
the sample of 500 satisfy? (Please characterize its relevant parameters.)
(b) Suppose that you wish to calculate the probability that
the number of defective chips in the sample is exactly 50. Write the exact
formula for this number, but you are NOT required to evaluate the probability.
(c) What is the expected number of defective chips in your
sample?
(d) What is the standard deviation of the number of
defective chips in the sample?
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