Question

As the quality engineer, you monitor supplier shipments for quality before accepting the shipment. Historically, this supplier has produced about one defective item out of 60. When a new shipment comes, you take a sample of size 5 items from the shipment, and if there is more than one defective item, you reject the shipment.
What is the probability of accepting a shipment?
Your answer can be rounded to three decimal digit accuracy when entered.

Probability is =

Answer 1

Result:

As the quality engineer, you monitor supplier shipments for quality before accepting the shipment. Historically, this supplier has produced about one defective item out of 60. When a new shipment comes, you take a sample of size 5 items from the shipment, and if there is more than one defective item, you reject the shipment.
What is the probability of accepting a shipment?
Your answer can be rounded to three decimal digit accuracy when entered.

Probability is =0.997

Binomial distribution used

n=5

Probability of defect = 1/60 =0.01667

probability of accepting a shipment = probability of 0 or 1 defect in a sample of 5

The required P= P( x ?1 ) =P( x=0)+P( x=1) = 0.9194+0.0779 =0.9973

=0.997

Binomial Probabilities Table
	X	P(X)
	0	0.9194
	1	0.0779