00:01
In this question we're given the speed of cars on the freeway follows a normal distribution with mean of 68 miles per hour, standard deviation of 5 miles per hour.
00:12
One of the cars is randomly chosen, x is the speed of the selected car so x follows the normal distribution, mean is 68.
00:20
Variance will be the standard deviation square so that will be 5 square.
00:25
Now i want to find the probability is traveling between 65 and 75 miles per hour so x between these two values.
00:34
So let's draw the distribution for x, the mean is 68.
00:40
65 is over here and 75 is over here so x between it will be in this shaded region.
00:47
I'll be using the ti -84 calculator, the normal cdf function.
00:53
The lower limit to key in will be 65, the upper limit to key in will be 75.
01:01
Mean mu is 68, sigma is the standard deviation and that's 5...