ABC Manufacturing has a policy that it will reject a shipment of parts from its supplier if inspectors find any defective parts in a random sample of 6 parts from the shipment.

The supplier has been in business many years and has a longterm defective rate for parts of 2.4%.

What is the probability that a shipment will be rejected after a given sample of parts is checked?

My work:

P(at least 1) = 1 - P(none)

Defective = .024 Not Defective = .9760

P(at least 1) = 1 - (.9760) x (.9760) x (.9760) x (.9760) x (.9760) x (.9760)

= 1 - .8644

P(at least 1) = .1356 (answer)