probabilty

Project Description:

a manufacturing company produces parts, 97% of which are within specifications and 3% are defective (outside specifications). there is apparently no pattern to the production of defective parts; thus, we assume that whether or not a part is defective is independent of other parts.

(a) what is the probability that there will be no defective parts in a box of 5?
(b) what is the probability that there will be exactly 2 defective parts in a box of 5?
(c) what is the probability that there will be 2 or more defective parts in a box of 5?
(d) use the poisson distribution to approximate the probability that there will be 4 or more defective parts in a box of 40.
(e) use the normal distribution to approximate the probability that there will be 20 or more defective parts in a box of 400.
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