Suppose a computer chip manufacturer rejects 7% of the chips produced because th

Question

Suppose a computer chip manufacturer rejects 7% of the chips produced because they fail presale testing. Assume the bad chips are independent. Complete parts a through d below. a) Find the probability that the seventh chip they test is the first bad one they find. The probability is. (Type an integer or a decimal. Round to three decimal places as needed.) b) Find the probability they find a bad one within the first 12 they examine. The probability is. (Type an integer or a decimal. Round to three decimal places as needed.) c) Find the probability that the first bad chip they find will be the third one they test. The probability is. (Type an integer or a decimal. Round to three decimal places as needed.) d) The first bad chip they find will be one of the first five they test. The probability is. (Type an integer or a decimal. Round to three decimal places as needed.)

Explanation / Answer

a) probabilty =first 6 chips are ok and seventh one is defective =(1-0.07)6*0.07 =0.045

b)probability =1-P(till 12 th all are ok)=1-(1-0.07)12 =0.581

c)probability =(1-0.07)2*0.07 =0.061

d)probability =1-(1-0.07)5 =0.304

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