00:01
Hey there, welcome to numerate.
00:03
We are given a probability distribution below, and we're asked to find our mean, variance, and standard deviation.
00:12
So let's start by finding our mean.
00:14
So we're going to denote this as the population mean, equaling the sum of our x values times the probability.
00:24
So therefore, this is basically equivalent to negative 41 times 0 .2.
00:33
And minus 27 times 0 .35.
00:42
And we are going to be, keep them going downwards here, to negative 3 times 0 .15.
00:50
All right, giving us a mean that equals around.
00:55
So we're going to round to two decimal places.
00:59
We have negative 23 .47...