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

Answer:

A. 0.009899

B. 0.005624

Step-by-step explanation:

Data:

Let the probability that an item is defective = $\frac{1}{100}$

The probability that the item is not defective = $\frac{99}{100}$

The probability that the fifth item is defective = $\frac{1}{100}* \frac{98}{99}$

                                                                            = 0.009899

Probability that one in 5 items is defective  = 0.005624