Question

In a production line, it's known that 5% of the produced items are defective. If 20 items are randomly selected: a. What's the probability that exactly 2 items are defective? b. What's the probability that at least 3 items are defective? c. Compute the expected number of defective items in the sample.

Name: in a production line its known that 5 of the produced items are defective if 20 items are randomly selected a whats the probability that exactly 2 items are defective b whats the probability that at l
Uploaded: 2023-08-25T21:48:13-08:00
Duration: 2 min 21 s
Channel: Lucas Finney
Description: in a production line its known that 5 of the produced items are defective if 20 items are randomly selected a whats the probability that exactly 2 items are defective b whats the probability that at l

          In a production line, it's known that 5% of the produced items are defective. If 20 items are randomly selected:

a. What's the probability that exactly 2 items are defective?
b. What's the probability that at least 3 items are defective?
c. Compute the expected number of defective items in the sample.

Added by John D.

Probability with Applications in Engineering, Science, and Technology

Matthew A. Carlton • Jay L. Devore 2nd Edition

Instant Answer

Solved by Expert Lucas Finney

08/25/2023

Step 1

The probability that exactly 2 items are defective can be calculated using the binomial probability formula, which is: P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k)) where: - P(X=k) is the probability of k successes in n trials - C(n, k) is the combination of n items Show more…

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In a production line, it's known that 5% of the produced items are defective. If 20 items are randomly selected: a. What's the probability that exactly 2 items are defective? b. What's the probability that at least 3 items are defective? c. Compute the expected number of defective items in the sample.