In a Production Run of 300 Units, There Are Exactly

question 20

Essay

In a production run of 300 units, there are exactly 20 defective items and 280 good items.
(a)What is the probability that a randomly selected item is defective?
(b)If two items are sampled without replacement, what is the probability that both are good?
(c)If two items are randomly sampled without replacement, what is the probability that the first is good but the second is defective?

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Definitions:

Parallel Reliabilities

Measures of the reliability of systems or components arranged in parallel, indicating the overall system's ability to operate effectively even if one component fails.

Expected Time

An estimation of the duration a task or project is most likely to take, considering probabilities of various outcomes.

Probability

A measure of the likelihood that an event will occur.

Specified Time

A defined or agreed-upon duration within which a task, operation, or process is to be completed.