00:01
Iq is normally distributed with a mean of 100 and a standard deviation of 15.
00:08
Suppose one individual is randomly chosen.
00:11
Find the probability that this person has an iq greater than 95.
00:18
So we're going to do one minus the probability that z is less than 95 minus 100 divided by 15.
00:28
So that gives us a z value of negative 0 .33, which corresponds to 0 .37.
00:38
And when we subtract that from one, we get our probability of 0 .6293.
00:45
So it says write your answer in percent form and round to the nearest tenth of a percent.
00:50
So that would be 62 .9 percent.
00:56
For b, we're going to find the probability that an individual is randomly chosen and their iq is less than 125.
01:09
So we'll take 125 minus 100.
01:13
Divided by 15.
01:14
That gives us a z value of 1 .67, which corresponds to .9525, and that would be 95 .3%...