00:01
In this question, we need to find the mean of a given probability distribution.
00:06
So to get the mean, you need to take each outcome, multiply it by the probability of it happening, and add these up.
00:13
So it's a lot like finding the mean of a frequency table.
00:17
So for the first one, the calculation looks like this.
00:21
0 times 0 .26, plus 1, 2, 3, 4.
00:28
And i'll just multiply these by their probabilities.
00:30
Okay, so for 1, it is 0 .11, 0 .16, 0 .05, and 0 .42.
00:42
When i add these up, i get a total of 2 .26, which is answer a.
00:53
So that's the first one.
00:54
The second is very, very similar.
00:57
So let's do that as well.
01:01
Same formula.
01:02
This time we have 0, 1, 2, 3 and 4.
01:06
And the probabilities are 0 .4096, 0 .4096, 0 .1536, 0 .1536, 0 .0 .02536, and 0 .0256, and 0 .016.
01:29
Okay, so let me multiply these and add them up.
01:32
So i have 4 times, 3 times, 0 .0256.
01:44
2 times 0 .1536, 4 .096.
01:52
4096.
01:53
Okay, and i get 0 .8...