00:01
We are looking at a normal distribution.
00:02
I will start by drawing it.
00:05
The total area under this curve is 1 or 100 % and it is symmetric.
00:10
Half the time the amount spent will be below the mean, the other half above the mean.
00:14
The mean, mu, is 617 with a standard deviation, sigma, of 47.
00:21
In part a, 646 has been budgeted for the next week.
00:26
What's the probability of exceeding that? so that's above the mean.
00:31
We want the probability the cost exceeds this, so the area to the right.
00:36
The probability of x, a random observation from this curve, is above this.
00:41
Now to find this area you need something with the normal distribution already built in.
00:45
The function you would have to integrate to get this area under the curve is too complicated to do by hand.
00:52
So you could use software like excel or r.
00:55
I'm going to use my ti -84 calculator with the normal cdf function.
01:01
It has four inputs, lower bound, upper bound, mean and standard deviation...