# Three manufacturing plants, say I, II and III, produce 20, 30 and 50 percent of a company’s output respectively. What is the probability that a randomly-chosen item from the company’s warehouse is defective?

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The manager of plant III is very quality conscious and only 1% of the items from that plant are defective. Plants I and II have defective rates of 3% and 5% respectively.

An item is selected at random from the company’s warehouse and found to be defective. What is the probability it was manufactured in plant III?

The manager of plant III is very quality conscious and only 1% of the items from that plant are defective. Plants I and II have defective rates of 3% and 5% respectively.

An item is selected at random from the company’s warehouse and found to be defective. What is the probability it was manufactured in plant III?

Defective.

In the usual Notation of Conditional Prob. , then, we are given that,

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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