A manufacturing firm produces a product that has a ceramic coating. The coating

Question

A manufacturing firm produces a product that has a ceramic coating. The coating is baked on to the product, and the baking process is known to produce 20% defective items. Every hour, 20 products from the thousands that are baked hourly are sampled from the ceramic-coating process and inspected. Complete parts a through c.

a.

25?

b. On average, how many defective items would be expected to occur in each sample of

25?

c. How likely is it that 20 or more nondefective (good) items would occur in a sample due to chance alone?

a.

25?

b. On average, how many defective items would be expected to occur in each sample of

25?

Explanation / Answer

This is example of binomial distribution with n=25 and p=0.20

a. P(x=5)=ncx p^x(1-p)^n-x=0.1960

b. mean=np=25*0.2=5

c. sd=sqrt(np(1-p))=2

Now we need to compute P(x>=20)<0.000001

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