Question

In a certain manufacturing process, it is known that, on average, 1 in every 100 items is defective.

A: What is the probability that the fifth item inspected is the first defective item found?

B: What is the probability that in a sample of 5 items, one is defective?

Answer 1

A. 0.009899

B. 0.005624

Explanation:

Data:

Let the probability that an item is defective =
`(1)/(100)`

The probability that the item is not defective =
`(99)/(100)`

The probability that the fifth item is defective =
`(1)/(100)* (98)/(99)`

= 0.009899

Probability that one in 5 items is defective = 0.005624