# Industrial quality control programs often include inspection of incoming materials from...

## Question:

Industrial quality control programs often include inspection of incoming materials from suppliers. If parts are purchased in large lots, a typical plan might be to select 20 pans at random from a lot and inspect them. A lot might be judged acceptable if one or fewer defective parts are found among those inspected. Otherwise, the lot is rejected and returned to the supplier. Use technology to find the probability of accepting lots that have each of the following.

a. 5% defective parts

P(lot will be accepted) = _____

b. 10% defective parts

P(lot will be accepted) = _____

c. 25% defective parts

P(lot will be accepted) = _____

## Binomial theorem:

Binomial distribution is a discrete type of distribution. This function specifies the number of times (x) an event occurs in n independent trial. The probability mass function of binomial distribution is given as

{eq}f\left( {x;n,p} \right) = {}^n{C_x} \cdot {p^x} \cdot {\left( {1 - p} \right)^{n - x}}{/eq}

Where p is fixed in every trial.

## Answer and Explanation:

**Given information:**

In an industrial quality control programs a random sample of 20 pans will form a lot to be tested.

The lot might be judged...

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