Mars Industries assembles industrial machines using four components in series.Customers who purchases these machines require a reliability of 0.95.In order to achieve a reliability of 0.95,what should be the individual reliability of the individual components?
A)0.987
B)0.897
C)0.768
D)0.934

Question

Quizplus · Accepted Answer

To calculate the reliability of the system, we need to multiply the reliability of each component. Let the reliability of each component be 'x', then we have:

Reliability of system = x1 * x2 * x3 * x4 = 0.95
Or, x^4 = 0.95
Or, x = 0.95^(1/4) = 0.98671

Therefore, the individual reliability of each component should be at least 0.987 (rounded up to three decimal places) to achieve a system reliability of 0.95. Therefore, the best choice is A) 0.987.

Mars Industries Assembles Industrial Machines Using Four Components in Series