00:03
Given mean mu equals to 95 and standard deviation sigma equals to 11.
00:16
So consider the first question.
00:19
We need to find probability of x greater than 108 .53.
00:23
X greater than 108 .53 equals to 1 minus probability of x less than or equals to 108 .53.
00:30
This is equal to 1 minus probability of x less than or equals to 108 .53.
00:33
This is equal to 1 minus probability.
00:34
Probability of x minus mu by sigma less than or equals to 108 .53 minus 95 divided by 11.
00:45
This equals to 1 minus probability of z less than or equals to 1 .23.
00:53
We can find this probability value from the left area z tables.
00:57
So here is the table and the value that represents area to the left of 1 .23 is here.
01:05
So the value 0 .89065.
01:08
So, 1 minus 0 .89065 equals to 0 .1035...