00:01
Hello students, our question is the length of lumber, a machine, cuts are normally distributed with a mean of 101 inches and a standard deviation of 0 .7 inch.
00:12
Okay, so the quantity is given to us is given.
00:17
The first is mean, okay, mu, that is 1 .01, and the standard deviation, that is sigma, which is given to us is 0 .7 inches, okay, inch.
00:31
So let's solve it.
00:34
Let's see it's part a, which asks us what is the probability that a randomly selected board cut by the machine has a length greater than 101 .27 inches.
00:43
Okay.
00:44
So let's solve it.
00:48
What they ask that p x is greater than 101 .27.
00:55
They're asking for that is equal to when we solve this, okay, this will be 1 minus p.
01:05
X is lesser are equal than 101 .27.
01:11
So from here this will be 1 minus p the value of x.
01:20
So we can write down here x minus mu upon sigma x is lesser are equal then.
01:27
So we will put these values...