Question

A network has three independent file servers, each with 90 percent reliability. The probability that the network will be functioning correctly (at least one server is working) at a given time is:

Answer 1

The correct answer is "99.9%".

Step-by-step explanation:

According to the information given in the question,

`P(1 \ fail) = 0.1`

The probability of all fail will be:

`P(all \ fail) = (0.1)^3`

`=0.001`

hence,

`P(not \ all \ fail)= 1-P(all \ fail)`

`=0.999`

`=99.9` (%)

Thus the above is the right answer.