# 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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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? ...

#### Solution Summary

Show how to identify a probability distribution and its parameters