00:01
All right, for this problem, we're given the following distribution of x, as well as the function g of x equals 2x plus 4, this quantity times 2.
00:09
We're asked to find the expected value or mu of g of x.
00:13
Well, in order to answer this question, you need to note that for any linear combination of a random variable, like in this case, let's say y equals ax plus b, then mu of y is going to be equal times a times mu of x plus b.
00:31
And also you'll know that the variance of y is equal to a square times a variance of.
00:39
But in this case, we're only interested with mu.
00:42
And so let's get this equation of x in terms of a x plus b.
00:48
So we just distribute the two.
00:49
So we get 4x plus 8...