00:01
Given in the question is that the possible ratings of a scale that is used to rate looks of people lie between 0 and 25.
00:15
The mean of this population is 12 .5.
00:19
Standard deviation of this scores is 4 .5 and it is also given that scores are normally distributed.
00:30
Now, we need to use the empirical rule according to which approximately 68%, 95%, and 99 .73 % of observations have standard deviation between 2 and 3.
01:02
Now we need to calculate that approximately what percentage of people have their look ratings between 8 and 17.
01:14
So for that, we need to find the interval for mu minus sigma, comma, mu plus sigma, that is mean minus standard deviation and mean plus standard deviation.
01:24
So it is 12 .5 minus 4 .5, comma 12 .5 plus 4 .5.
01:32
So this is equal to 8 .17.
01:37
Now this implies that approximately 68 % of people have ratings between 8 and 17...