00:01
In this problem, we are required to get the probabilities in the given cases where we have the standard normal random variable z.
00:09
So in the first case, we have to find the probability that the z score is less than 1 .57.
00:14
And we simply use the z table and using that, we get this probability of 0 .9418.
00:22
And in the next part, we have to find out the probability that z score is greater than 1 .84.
00:28
So we can write this as 1 minus probability that the z score is less than 1 .84.
00:34
And using the z table, we get this probability of 0 .9671.
00:40
And subtracting that from 1, we will get 0 .0329 as the result.
00:46
And in the next part, we have to find the probability that the z score is greater than 1 .57.
00:52
And this is less than 1 .84.
00:55
So we can even break this and write it as probability that the z score is less than 1 .84 minus probability that the z score is less than 1 .57...