Question

dora has a company that produces backpacks for exploring. The probability that a backpack is considered defective is 3%. When backpacks are randomly selected from the production line, use the notation defective (D) and non-defective (N). If five backpacks are randomly selected, what is the probability that the first one is defective and the next four are not? (Please answer fast)

Answer 1

`Probability = 0.0266`

Explanation:

Given

D = Defective

N = Non-Defective

`D = 3\%`

`D =0.03`

N is calculated as thus:

`N = 1 -D`

`N = 1 - 0.03`

`N = 0.97`

The required probability can be represented as:

Probability = DNNNN

And it is calculated as follows:

`Probability = 0.03 * 0.97^4`

`Probability = 0.0265587843`

`Probability = 0.0266` -- Approximated