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.

Faulty Finger= 0.02           Faulty Thumb= 0.03         Faulty Thumb and Finger= 0.0125

What percentage of prosthetic hands have only faulty thumbs?

What percentage of prosthetic hands have good fingers?

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

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

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

Explanation / Answer

a) Percentage of prosthetic hands have only faulty thumbs = 3% - 1.25% = 1.75%

b) Percentage of prosthetic hands have good fingers = 100% - 3% = 97%

c) Percentage of prosthetic hands have only faulty thumbs or only faulty fingers = (2% - 1.25%) + (3% - 1.25%) = 2.5%

d) P(A randomly selected prosthetic hand has a faulty thumb or a faulty finger)

= 0.02 + 0.03 - 0.0125

= 0.0375

e) P(A randomly selected prosthetic hand has a good thumb and good fingers)

= 1 - P(Faulty thumb or faulty finger)

= 1 - 0.0375

= 0.9625

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