Question

8) WidgCo is a company that manufactures widgets. It is known that 1 out of every...

8) WidgCo is a company that manufactures widgets. It is known that 1 out of every 47 widgets that the company produces is defective. A batch of 150 widgets is produced.

Find the probability that the number of defective widgets in the batch is more than 1 but less than 5. Round your answer to 4 decimal places.

Math   Statistics-And-Probability   
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Answer #1

The probability that a randomly selected widget is defective

Let X denotes the  number of defective widgets in a random sample of 150 widgets.

The probability mass function of X is

Now,

The probability that the number of defective widgets in the batch is more than 1 but less than 5

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