# Probability that a Large Shipment is Accepted or Not Accepted due to Defective Items

**Problem**

A stationery 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.

- Find the probability that this shipment is accepted if 5% of the total shipment is defective.
- Find the probability that this shipment is not accepted if 15% of the total shipment is defective.

**Solution**

**Part (1)**

$P = 92.45\%$

**Part (2)**

$P = 59.51\%$

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