A CMOS module of a computer system contains three electrical components, A, B, and C. All three components must function for the CMOS module of the computer system to work properly. The probability that component A fails is 0.0015, the probability that component B fails is 0.0005, while the probability that component C fails is 0.0001. Assuming the three components function independently, what is the probability that the CMOS module of the computer system functions?

Question

Mathematics

Shaniya Strong

27 March, 12:23

A CMOS module of a computer system contains three electrical components, A, B, and C. All three components must function for the CMOS module of the computer system to work properly. The probability that component A fails is 0.0015, the probability that component B fails is 0.0005, while the probability that component C fails is 0.0001. Assuming the three components function independently, what is the probability that the CMOS module of the computer system functions?

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Peppermint · Answer 1

The probability that the CMOS module of the computer system functions = 0.9979

Step-by-step explanation:

The CMOS module functions when all 3 components work.

Probability that component A works = 1 - (Probability that component A fails) = 1 - 0.0015 = 0.9985

Probability that component B works = 1 - (Probability that component B fails) = 1 - 0.0005 = 0.9995

Probability that component C works = 1 - (Probability that component Cfails) = 1 - 0.0001 = 0.9999

Probability that the CMOS module functions = probability that all three components work = 0.9985 * 0.9995 * 0.9999 = 0.9979