A manufacturer has a defect rate of 0.02 for its products. If the manufacturer produces 15 units, what is the probability that at least one of these units will be defective?

Answer Choices

Correct answer marked below

(0.02)^{15}

(0.02)^{14}(0.98)

(0.02)(0.98)^{14}

1-(0.02)^{15}

1-(0.98)^{15}

Correct

See the full step-by-step explanation

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Track your performance and improve

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Start for free Sign in

Explanation

Preview

Official Explanation

Official

The defect rate for each unit is 0.02, which means the probability that a unit is not defective is 1 - 0.02 = 0.98. To find the probability of at least one defective unit among 15,…

Read the full explanation

Create free account Sign in

Comments

kaushikMay 19, 2024

still struggling with these types of problems

SamriddhiJun 6, 2024

thanksss

What this question tests

What it tests

Your ability to compute probabilities of single and compound events, including 'at least one' questions.

Common trap

Forgetting to use the complement for 'at least one', or treating dependent events as independent.