00:01
We are given this probability distribution for the random variable x, and we are asked to determine some probabilities.
00:09
The first one is a cumulative distribution function, or the cumulative distribution, at x equals minus 2, which is the probability that x is at most minus 2.
00:25
So we look to see which values of x meet this criterion.
00:29
X has to be no more than minus 2.
00:31
There's only 1, and that is x equals minus 2.
00:35
The probability mass associated with x equals minus 2 is 1 over 7.
00:43
So the answer to this one is 1 over 7.
00:49
And for the second one, the cumulative probability at x equals minus 1.
01:01
So here we look for any values of x that are at most minus 1, and there are 2.
01:06
X can be minus 2 or it can be minus 1, and it meets this criterion...