A Web server has 7 major components that must all function in order for it to operate as intended. Assuming that each component of the system has the same reliability, what is the minimum reliability each one must have in order for the overall system to have a reliability of .93? (Round your answer to 3 decimal places.) Minimum reliability

Respuesta :

Answer:

0.990

Explanation:

If the server needs all of the 7 components functioning to operate as intended, the overall reliability of the system is given by the product of each component's individual reliability:

[tex]S = c_1*c_2*c_3*c_4*c_5*c_6*c_7[/tex]

If the system needs to have a reliability of 0.93, and all components have the same reliability, the required reliability for the components is:

[tex]0.93=c^7\\c=\sqrt[7]{0.93}\\c=0.990[/tex]

The minimum reliability for the components must be 0.990.