Question

in a manufacturing process, 0.2% of the brake pads that come off the production line are considered defective. Determine the probability that at least one brake pad is defective in an order of 200 pads

Answer 1

Answer:
`=1-(0.8)^(200)`

Explanation:

Given: The probability of brake pads that come off the production line are considered defective. = 0.2

Therefore, the probability that the brake pads are not defective=1-0.2=0.8

The probability that all 200 pads are not defective P(all 200 non defective)=
`(0.8)^(200)`

Then the probability that at least one brake pad is defective in an order of 200 pads

P(at least one defective)=1-P(all 200 non defective)

`=1-(0.8)^(200)`