00:01
In this problem, we are given the probability distribution table, and this includes the values of the random variable x, which are minus 5, 4, 8, and 12, and the respective probabilities, well, that's given as well, which are 0 .565, then we have 0 .107, 0 .224, and 0 .104, and we have to compute the mean, standard deviation, and the variance of this distribution.
00:30
So first we can get the mean and to find that we will just multiply the values of x with the respective probabilities right from the first to the last and we can add them all.
00:41
So doing that we will get 0 .643 as the result and now we can get the expected value of x square and to find that we will just square the values of x and multiply that with the respective respective probabilities right from the first to the last and we even add them.
00:59
So doing that, we will get 45 .15 as the result approximately...