The Write Right Company manufactures ballpoint pens and has been experiencing a

Question

The Write Right Company manufactures ballpoint pens and has been experiencing a 6% rate of defective pens. Modifications are made to the manufacturing process in an attempt to improve quality. The manager claims that the modified procedure is better because a test of 60 pens shows that only 1 is defective. a. Assuming that the 6% rate of defects has not changed, find the probability that among 60 pens, exactly 1 is defective. b. Assuming that the 6% rate of defects has not changed, find the probability that among 60 pens, none arc defective. Multiple-Choice Quiz Edward Dunn has to take a five-question multiple-choice quiz in his sociology class. Each question has four choices for answers, of which only one is correct. Assuming that Edward guesses on all five questions, what is the probability that he will answer a) all five questions correctly. b) exactly three questions correctly.

Explanation / Answer

a)

P(X=x)=(nCx)*p^x*(1-p)^n-x

           =60C1*0.06^1*0.94^59=0.0935

b)

P(X=x)=(nCx)*p^x*(1-p)^n-x

           =60C0*0.06^0*0.94^60=0.0244

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