A company produces a product consisting of two components arranged as follows: If both components must function for the product to function,then the two components would need individual reliabilities of _______ to achieve an overall reliability of 0.90. A)R₁ = 0.90 and R₂ = 0.90 B)R₁ = 0.95 and R₂ = 0.95 C)R₁ = 0.80 and R₂ = 0.80 D)R₁ = 0.85 and R₂ = 0.85

Question

Quizplus · Accepted Answer

To calculate the reliability of the two components arranged in series, we use the following formula:

R_total = R1 x R2

Where R1 and R2 are the reliabilities of the two components.

To achieve an overall reliability of 0.90, we need:

R_total = 0.90

0.90 = R1 x R2

Taking the square root of both sides, we get:

0.95 = sqrt(R1 x R2)

Since the two components must have the same reliability, we can rewrite the equation as:

0.95 = sqrt(R^2) = R

Therefore, each component would need a reliability of 0.95 to achieve an overall reliability of 0.90.

The best choice is B, where both components have a reliability of 0.95.

A Company Produces a Product Consisting of Two Components Arranged