Epsilon Manufacturing Company makes a specialized electronic product used in the automotive industry.This product has 4 components, each of which could be defective.So the total number of defects of this product can be 0, 1, 2, 3, or 4.The following table provides the probabilities of the number of defects: Number of defects Probability
0 .508
1 .302
2 .105
3 .080
4 .005
The mean number of defects is _______.
A).75
B).77
C).80
D).85
E).87

Question

Quizplus · Accepted Answer

The mean number of defects can be calculated using the formula for the expected value: E(X) = Σ [x * P(x)], where x is the number of defects and P(x) is the probability of that number of defects. Thus, E(X) = (0 * .508) + (1 * .302) + (2 * .105) + (3 * .080) + (4 * .005) = 0 + .302 + .210 + .240 + .020 = .772. Therefore, the closest answer is .77.

Epsilon Manufacturing Company Makes a Specialized Electronic Product Used in the Automotive