00:01
In this question, we have been given to calculate the value of probability such that in the first part of this very problem we can say mu x bar and that is equals to mu.
00:10
So it will be here 400.
00:11
Now the value of sigma x bar will be here equals to sigma divided by under root of n and it is here going to be 60 divided by under root of 125 and that is equals to 5 .37 and now we will be having the probability of 391 and then it is less than equals to x bar and that is less than equals to 409.
00:35
So this will be here equals to probability of 391 minus it is 400 divided by it is 5 .37 and then it will be here less than equals to z and that is lesser than equals to 409 minus it is 400 and then in the denominator it is 5 .37.
00:54
So we have used the formula that z is equals to x bar minus mu x bar and then it will be here sigma x bar.
01:02
So from this information we can say that our expression will be here equals to let us write it is probability of we can say negative 1 .68 and then it is less than equals to z and that is lesser than equals to 1 .68.
01:18
So it can be here written to be equals to it is probability of z and that is less than equals to 1 .68 and then it is minus probability of z and that is less than equals to negative 1 .68.
01:32
So from this information we can say that it will be here coming around 0 .95 and then it is 35.
01:39
Now it will be minus 0 .04 and then it will be 65...