Question

When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test

35

batteries and determine whether each is within specifications. The entire shipment is accepted if at most

3

batteries do not meet specifications. A shipment contains

3000

batteries, and

1

%

of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?

The probability that this whole shipment will be accepted is

Answer 1

This is binomial distribution where the size is the number of batteries you check ( n = 35) and p is 1% and to find is p(X <=3)