00:01
Okay, so we are trying to find the top 15 % for this test, right? which means we're trying to find the thing that gives me the area of 0 .15 there, which means that i have an area of 0 .85 here since it all adds up to 100%.
00:14
So i need to find the z score for this point right here.
00:18
And to do that, i'm going to look up 0 .85 in the body of my z table.
00:23
So looking for 0 .85, the closest thing that i can find is 0 .850.
00:31
Which i find at a z score of 1 .04.
00:35
And so that's the z score that i want.
00:41
Remember the z formula is x minus mu over sigma.
00:45
And in this case i know everything except for x, which i'm trying to solve for.
00:49
Right, so 1 .04 is the z.
00:52
I don't know the x, mu is 70, standard deviation is 7.
00:56
Now i'm just going to use some algebra to manipulate it and solve for x.
00:59
So i'm going to subtract, or sorry, multiply both sides by seven.
01:04
So i get 1 .04 times 7 is 7 .28 equals x minus 70, and then add 70 to both sides, and i get 77 .28 for my x.
01:18
So what i'm saying here is if i score 77 .28 or better on the test, then i'll be considered for the position.
01:28
Right so that's number one for number two i have two different stocks that i'm trying to like for portfolios or whatever that i'm trying to figure out to invest and for the high risk we have an expected return which is you can also call that the mean of 7 .4 and a standard deviation of 13 .5 and for the low risk one i have a standard expected return or a mean of 3 .8 and a standard deviation of 7 .7%.
02:13
So first i'm supposed to calculate the probability of earning a negative return for each fund.
02:19
So that would be getting a negative percentage, right? so that is, we're trying to find the probability of getting zero or less.
02:28
So x is going to be zero, right? so our, we're going to do 0 minus 7 .4 over 13 .5.
02:43
So i'm going to do the same thing for the other one, right, except for its values...