00:01
In this problem, we are given that there's a binomial distribution where the number of independent trials, this is equal to 3, and the probability of the success.
00:10
That is 0 .54, and we have to determine the variance.
00:15
So we will represent that with v, and that's what we have to get.
00:18
So first, let's find out the probability of the failure by subtracting p from 1.
00:23
So doing that, we get 0 .46 as the result.
00:26
And now we simply use this formula and put the values of the variables.
00:31
So doing that, we get the variance as three times 0 .54 into 0 .46.
00:37
So this comes out to be 0 .752.
00:41
And in the next part, we have the probability distribution table that includes the values of the random variable x, and they are 0 ,1, 2, and 3.
00:52
And the respective values of the probabilities, well, that's given as well...