00:01
In this problem, it is said that an investor owns a bond.
00:04
There is a 20 % probability that the investor will lose $100 on the bond, and an 80 % chance that the investor will gain $30 on the bond.
00:13
We need to find the expected value of the bond.
00:16
Now, if we consider x to be a random variable denoting the return, then we need to determine the expected value of this return.
00:24
Now, this is given by summation x times p of x, where x represents the value that the random variable x can take, and p of x represents the corresponding probability.
00:37
So first of all, note that it is said that there is a 20 % probability that the investor will lose $100.
00:43
So in this case, the return is a loss of $100, so that's negative 100.
00:49
So the value of x is negative 100...