00:01
Okay, so we've got probability distribution here.
00:03
So i've really drawn it in rough here, just to make it clear.
00:07
We've got two values x can take, two probabilities, one -third, two -thirds.
00:11
Obviously, they sum to give one.
00:13
And we need to answer the following.
00:15
So part a here, if we're told that the probability that x occurs is one -third, what is x going to be? well, just looking at the table here, the only value we can take is zero.
00:25
So x is going to equal zero because the probability that x equals zero is equal to one third.
00:35
Part b here, we need to find the expected value of x.
00:43
We know this is the sum of observations and their relative probabilities multiplied together.
00:50
So this is zero times a third plus one times by two thirds, which is just two over three.
00:58
8, okay, and we know that b and c are going to be the same, okay...