A machine is made up of 3 components: an upper part,a middle part,and a lower part.The machine is then assembled.5 percent of the upper parts are defective,4 percent of the middle parts are defective,and 1 percent of the lower parts are defective.What is the probability that a machine is not defective?
A)0.100
B)0.929
C)0.800
D)0.0002
E)0.729

Question

Quizplus · Accepted Answer

To find the probability that a machine is not defective, we need to find the probability that each of the three components is not defective and then multiply those probabilities together.

The probability that the upper part is not defective is 1 - 0.05 = 0.95.
The probability that the middle part is not defective is 1 - 0.04 = 0.96.
The probability that the lower part is not defective is 1 - 0.01 = 0.99.

Multiplying these probabilities together gives:

0.95 x 0.96 x 0.99 = 0.929

So the probability that a machine is not defective is 0.929, which is answer choice B.

A Machine Is Made Up of 3 Components: an Upper