00:01
Hello students, in this question we have to compute the system reliability of the system which is given in this figure.
00:08
So now here we have given that there are three subsystems a, b, c and also the fourth subsystem is d and in the first subsystem here we can see that the two components r1 and r2 are in the series and we know the formula for the reliability, the reliability when the components are in series, components are in series is given by capital r is equal to product over i, ri where i is the ith component.
00:55
So now the reliability, the reliability of the subsystem subsystem a is given by, so this is r is equal to, so we have to take the product of r1 and r2.
01:21
So this is r1 into r2 that is equal to 0 .9 into 0 .8 is equal to 0 .72.
01:32
This is the reliability of the subsystem a.
01:36
So therefore it is denoted by ra.
01:38
Then the reliability, the reliability of the subsystem, the subsystem b is, so now it is denoted by rb and now this is equal to, so here r3, r4 and r5 are in series.
02:04
So r3 into r4 into r5 is equal to 0 .8 into 0 .8 into 0 .9 that is equal to 0 .576 and now here these two subsystems that is subsystem a and subsystem b both are in parallel.
02:28
So we know the formula for the reliability, the reliability when the components, when the components are in parallel, are in parallel...