00:01
In this question we are looking at a normal distribution and i will start by drawing that.
00:13
So we have a normal curve like so.
00:20
The total area under this curve is one or 100 % and it's symmetric.
00:25
So half will have a lifetime below the mean, half above the mean.
00:30
The mean, mu, is six.
00:35
Standard deviation, sigma, is a half, so 0 .5.
00:40
Part a, what is the probability of a lifetime between 5 .78 and 6 .35? so 5 .78 is below mean, 6 .35 is above the mean.
00:53
And we want to know the probability of a tv falling into this interval here.
01:00
So there are functions that take you from the values to the area under the curve, but they are really complicated.
01:06
We don't do this by hand.
01:08
You need either some software like excel or r or your graphical calculator.
01:13
I'm going to use a ti -84 with the normal cdf function.
01:20
Into this function i need to put a lower bound, an upper bound, a mean, a standard deviation, and it will give me the area between the lower and upper bound...