A manufacturer needs to make 50 products. The probability

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QUESTION:

A manufacturer needs to make 50 products. The probability that the main component is defective is 5%. If the manufacturer orders 55 components, what is the probability that there are 50 or more good components so that all the products can be completed

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QUESTION:

A manufacturer needs to make 50 products. The probability that the main component is defective is 5%. If the manufacturer orders 55 components, what is the probability that there are 50 or more good components so that all the products can be completed

ANSWER:

Step 1 of 2

Let be the random variable that denotes the number of defective components.

The probability that the main component is defective is 5%.

Therefore,

Here, .

Therefore, . Then,

.

If there are 50 or more good components, then the maximum number of defective components will be 5.

Therefore, it is enough to calculate .

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