Question

An electrical appliance will not work unless component QK does. Component QK's reliability is 0.95. Every other part of the appliance is 100% reliable. What would the reliability of the appliance be if a backup QK were added?

a.95

b.9795

c.9205

d.9975

e.9025

Answer 1

d.9975

Step-by-step explanation:

The computation of the reliability of the appliance in the case when the backup QK were added is shown below:

= ( 1 - QK's reliability) × QK's reliability + QK's reliability

= (1 - 0.95) × 0.95 + 0.95

= 0.05 × 0.95 + 0.95

= 0.0475 + 0.95

= 0.9975

Hence, the correct option is d. 0.9975

The same is to be considered

Also we simply applied the above formula so that the correct percentage could come