00:01
For this question, we were asked to use technology to find various areas under the standard normal curve.
00:06
Remember that the standard normal variable is the normal random variable with a mean of zero and a standard deviation of 1.
00:23
For part a we want to find the probability that a z score will be 0 .13 or less.
00:30
We can write this as the probability that z is less than equal to 0 .13.
00:39
0 .13 is somewhere over here.
00:43
And so the probability that z is less than or equal to 0 .13 is equal to the area under the curve and to the left of 0 .13.
00:53
So that corresponds to the area of this blue -shaded region.
00:59
And this probability can be solved by finding 0 .13 in the standard normal table.
01:06
We go to the standard normal table.
01:08
We look for the cell that corresponds to a zed score of 0 .13.
01:12
That gives us a cumulative probability of 0 .5517.
01:15
So this is 0 .5517.
01:23
For b, you want to find the probability that a z score will be 0 .13 or more.
01:31
This is the probability that z is greater than equal to 0 .13.
01:36
So for b, we're looking for the area under the curve to the right of 0 .13...