Astationary 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 the shipment is accepted if 5% of the total shipment is defective?

Probability that the shipment is accepted is 92.45%.

Step-by-Step Explanation:

Since we have given that

Number of total pens = 20

Probability of defective pens = 5%

Probability of good pens = 95%

We need to find the probability that the shipment that yields no more than two defective pens.

So, we will use "Binomial distribution:

Hence, Probability that the shipment is accepted is 92.45%.