00:02
Hello, on this problem, let's define the random variable x to be time to assemble in electronic components, and this is going to be in minutes.
00:28
Okay, first of all, let's write down the distribution of the random variable x.
00:33
So x, which time, is distributed normally with mean 22, 22 minutes, and standard deviation of 15.
00:48
Okay, so from here, we want to find the probability that the time it takes to assemble this piece of equipment is between 17 minutes and 24 minutes.
01:06
Minutes.
01:07
So you have a t83 or t84 calculator.
01:12
How you would do this is you would input normal cdf, your calculator.
01:21
It's under the stats function.
01:23
And we're going from 17.
01:26
So this is your lower limit to the upper limit, which is 24.
01:30
You input the mean 22 and the standard deviation 15.
01:37
And that probability is 0 .1836.
01:45
Now, the probability that the time is greater than 44 minutes, and the probability that the time is less than four minutes is unusual and we'll see why.
02:08
So let's, these are a calculator and let's input...