00:01
Hey there, welcome to numerate.
00:04
So we're asked what percentage of returns here were greater than 29%.
00:09
So we're given a bell -shaped distribution of the historical returns on a portfolio.
00:16
So what we're given here is our mean of 13%, and our standard deviation of 16.
00:27
So we're asked to find the probability here that x is greater than 29%.
00:33
So probability that x is greater than 29 is equals to the z score.
00:43
So we take our 29 minus our mean 31 and divide by 16 our standard deviation.
00:52
So this will be equals to around 29 minus 13 divided by 16 equals exactly 1.
01:05
So with the z score 1, we can utilize our z score probability table.
01:10
To find our probability.
01:13
The probability that you should get is around 0 .1587.
01:23
0 .1587.
01:27
All right, so now for part b, so this here was basically part a...