00:01
This task contains three parts.
00:04
The first part we should find the z scores that bound the middle 50 % of the area under the standard normal curve.
00:14
So firstly let's make the graph.
00:17
Here will be unknown values z.
00:21
Add two vertical lines and the area between these two lines, the sketched area is 50%.
00:38
After this, we can make the conclusion that the remaining area in both sides, sketched by red, will be 25%, because normal distribution is symmetrical.
01:03
And according to the graph, we can write that probability that is less than unknown value that equals to 0 .25.
01:16
And by using z score table we can find the corresponding value of the z score minus 0 .67 and because normal distribution is symmetrical, that second z score will be 0 .67.
01:38
The same but with positive sign.
01:41
Next, the second part we should find the z scores that bound the middle 7 .7.
01:49
The same, the same, percent of the area under the standard normal curve.
01:53
Let's make the graph on that score and the second that score...