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In: Statistics and Probability

A stationary store has decided to accept a large shipment of ball-point pens if an inspection...

A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 19 randomly selected pens yields no more than two defective pens. (a) Find the probability that this shipment is accepted if 5% of the total shipment is defective. (Use 3 decimal places.) (b) Find the probability that this shipment is not accepted if 20% of the total shipment is defective. (Use 3 decimal places.)

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Solution:

In probability theory, the binomial distribution is a discrete distribution where independent outcomes over number of trials occurs at constant probability. The probability of an outcome occurring over nth trials P (success) and probability of not occurring 1-p (failure). Therefore, binomial distribution is referred to as probability of failure and success.


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