00:01
For this problem, the speed of cars is normally distributed with a mean of 66 miles per hour and a standard deviation of 10 miles per hour.
00:11
We want to find how many cars are traveling slower than 48 miles per hour in a sample of 300 cars.
00:21
All right, so we have a sample of 300 cars and we want to know how many cars are traveling less than 48 miles per hour.
00:31
So let me go ahead and draw a normal distribution to represent the situation.
00:39
And we know that the center is going to be the mean of 66.
00:44
And then we have a speed of 48 miles per hour.
00:49
And we want to know the number of cars that are going slower than that.
00:53
So that's towards the left.
00:55
And so i want to know the proportion of cars that are slower than 48 miles per hour that are going slower than 48 miles per hour.
01:06
Well, the proportion is the area to the left.
01:09
And so i'm going to find the area to the left by first finding the z score of the 40a...