A machine is made up of 3 components: an upper part,a mid part,and a lower part.The machine is then assembled.5 percent of the upper parts are defective;4 percent of the mid parts are defective;1 percent of the lower parts are defective.Assuming that the parts function independently of each other,what is the probability that a machine is non-defective?
A)0.8330
B)0.7265
C)0.9029
D)0.9815
E)0.8902

Question

Quizplus · Accepted Answer

The probability that each part is non-defective is calculated by subtracting the defective percentage from 100%. For the upper part, it's 95% or 0.95, for the mid part, it's 96% or 0.96, and for the lower part, it's 99% or 0.99. Multiplying these probabilities gives the overall probability of a non-defective machine: 0.95 * 0.96 * 0.99 = 0.9029.

A Machine Is Made Up of 3 Components: an Upper