00:01
Hey there, welcome to numerade.
00:02
So we are asked to find the probability that one or more of the servers is operational.
00:10
So what we're given here is the probability that it fails, which is 0 .19.
00:16
So what we're going to do is take the 0 .919 and subtract it from 1 in order to see that the server is operational, which is equal to 0 .81.
00:29
Our sample size here, we're looking at six separate servers, backup servers.
00:37
And what we have here is basically a binomial setup since we know that each server is independent from each other.
00:45
So what we have here is combinations nx multiplied by p raised to the x, multiplied by q raised to the n minus x.
00:56
So the probability that we're looking for here is the probability that x is at least one.
01:02
So at least one or more is operational.
01:07
So with this, we're going to start with the probability of 1 and add to the probability of 2...