DRHS Prosthetics is a company that produces prosthetic hands. It is known that 2

Question

DRHS Prosthetics is a company that produces prosthetic hands. It is known that 2% of the prosthetic hands have faulty thumb and 3% of the prosthetic hands have faulty fingers. Moreover, 1.25% of the prosthetic hands have faulty thumb and faulty fingers. Good thumb means not faulty thumb.

a) What percentage of prosthetic hands have only faulty thumbs?

b) What percentage of prosthetic hands have good fingers?

c) What percentage of prosthetic hands have only faulty thumbs or only faulty fingers?

d) What is the probability that a randomly selected prosthetic hand has a faulty thumb or a faulty finger?

e) What is the probability that a randomly selected prosthetic hand has a good thumb and good fingers?

Explanation / Answer

a) P(only faulty thumb) = 2%-1.25% = 0.75%

b ) P(good fingers) = 100%-3%= 97%

c) P(only faulty thumbs or only faulty fingers) = 2%+3%-1.75%-1.75% = 1.5%

d) P(faulty thumb or a faulty finger) = 2%+3%-1.75% = 3.25%

e) P(good thumb and good fingers) = 100%-3.25% = 96.75%

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