Jay is in charge of testing whether or not the products produced by Jay\'s compa

Question

Jay is in charge of testing whether or not the products produced by Jay's company conform to specifications. So, Jay randomly selects 12 product from each day's production and if no more than 1 product fails to conform to specification, the day's production will be acceptable. otherwise, the entire day's production has to be tested. What is the probability that Jay passes a day's production as acceptable if 80 percentage of products are considered to conform to specifications in general? What is the probability that Jay DOES NOT passes a day's production as acceptable if 90 percentage of products are considered to conform to specifications in general?

Explanation / Answer

Result:

Q3 a)

Probability of confirmation=0.80

n=12

Binomial probability used.

P(X=x) = (nCx) px (1-p)n-x

P( x >1) = 1-P( x 1)

= 1-[ P( x=0)+P( x=1)]

= 1-[ 0.0000000041+ 0.0000001966]

=0.9999997993

b).

Probability of confirmation=0.90

n=12

P( x 1) = [ P( x=0)+P( x=1)]

= 0.0000000000010+ 0.0000000001080

= 0.0000000001090

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