00:02
In the given question, we are having our value for best active actor and best supporting actor.
00:22
And the given values are mu is given here 45 for best active and sigma is 7 .8.
00:33
For best supporting actor, our value for mu is 49 .0 and sigma is 40.
00:40
So on a particular year, the best actor was 43 years old and best supporting actor was 81 years ago.
00:48
So we need to remind the z score for best actor and best supporting actor.
00:54
So now let's see the solution of this question.
00:58
So here our solution will be the z score for the best actor will be obtained from as the value for the distribution.
01:22
We will let here this actor which follows the normal distribution, normal distribution.
01:39
So our value for mu will be equal to 41 .0 and our value for sigma will be 92, 9 .2.
01:50
So now we can find our z scope.
01:53
So z score will be finite from z is equal to x minus mu.
02:01
Sigma.
02:02
So the value will be as 40 minus 41 by sigma which is 9 .2.
02:08
So here we have minus 0 .11 when we solve our value we will get our z is equal to minus 0 .11.
02:18
So here the standardized z score for the best actor obtained finding by the ratio of the difference of this score and the mean and the population is standard deviation.
02:28
So then on the next hand we will find the z score for the best supporting actor.
02:36
So for best supporting actor, our value from mu will be equal to 52 .0 and sigma will be equal to 16.
02:52
And therefore the z score will be from the formula x minus mu by sigma is equal to 69 minus 52 divided by 60 which is equal to 1 .06...