A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 20 randomly selected pens yields no more than two defective pens.

Question

a) find the probability that this shipment is accepted if 5% of the total shipment is defective.

b) find the probability that this shipment is not accepted if 15% of the total shipment is defective.

Answer 1

a) The probability that this shipment is accepted if 5% of the total shipment is defective is 0.841.

b) The probability that this shipment is not accepted if 15% of the total shipment is defective is 0.093.