00:01
So considering that we have a standard normal distribution, this means that z, which represents the standard normal distribution, has a normal distribution with mean 0 and a standard deviation equals to 1.
00:13
So the mean is 0 and the standard deviation is equals to 1.
00:18
So if you consider that you want to do some transformations, which is basically we want to multiply the variable to 8 and then add 75, we want to find what is the new mean and the new standard deviation.
00:33
So the mean here, what is going to happen is this mean will be the original mean times 8 plus 75.
00:43
But because the original mean is 0, this means that in the end the mean will be 75.
00:51
The standard deviation, which is the square root of the variance, will be the square root of the variance of this transformation.
00:58
And here the case is the variance for a constant...