00:01
Okay, so first let's go ahead and standardize the value 16 .85 to get the z -score.
00:06
Using the formula where our z -score is equal to, we take x minus the mean, so 16 .85 minus the mean of 16 .89, divided by the standard deviation of 0 .1, so that's negative 0 .05 over 0 .1, so the z -score here is negative 0 .5.
00:27
Now, the probability here associated with the z -score of negative 0 .5 from the standard normal table is going to be about 0 .3085.
00:40
So this represents the probability then that a randomly selected water bottle has a volume less than 16 .85 ounces.
00:48
We want the bottles that hold at least 16 .85 ounces.
00:52
Taking the complement, we take 1 minus 0 .3085, and that's going to be equal to 0 .6915.
01:04
So, we get the probability that a randomly selected water bottle here will hold at least 16 .85 ounces is going to be around 69 .1%...