00:01
In this question, we're given a satellite system consists of four components and each component functions independently.
00:08
Probability of a component is in working condition is 0 .6.
00:12
So this is the same probability for all four components to be functioning in working condition.
00:20
Now, the system can function adequately if at least two of the components are in working condition.
00:26
I'm going to let x be the number of components out of four components that are in a working condition.
00:30
In working condition.
00:32
So x follows a binomial distribution, since all the four components are independent, and probability of the component functioning is independent, and it is the same for each component.
00:47
So x follows a binomial distribution, and the number of trial is four, since there are four components, and p, the probability of success in a single trial.
00:58
This case is the probability of a component in working condition is 0 .6.
01:05
So probability of x equals to r, where r is the number of component that are working, will be 4 choose r, 0 .6 to power r, and 1 minus 0 .6 will be 0 .4 to the power of 4 minus r...