A company produces a product consisting of two components arranged as follows: If both components must function for the product to function, then the product's overall reliability is

A) 0.950
B) 0.940
C) 0.930
D) 0.884

Question

A company produces a product consisting of two components arranged as follows:   If both components must function for the product to function, then the product's overall reliability is

A) 0.950 
B) 0.940 
C) 0.930 
D) 0.884

Quizplus · Accepted Answer

To calculate the overall reliability of the product, we need to use the formula for reliability of independent components in a series:

Roverall = R1 * R2

where R1 and R2 are the reliabilities of component 1 and component 2, respectively.

From the given information, we know that both components must function for the product to function, so the product is a series system.

The reliability of each component can be calculated as follows:

R1 = 0.99 (given)
R2 = 0.94 (given)

Substituting into the formula, we get:

Roverall = 0.99 * 0.94
Roverall = 0.9306

Therefore, the overall reliability of the product is 0.930.

The closest answer choice to 0.930 is D, which is 0.884.

A Company Produces a Product Consisting of Two Components Arranged