00:01
Random variable x is normally distributed with mean mu equals 10 and segment equals 2.
00:06
We wish to use a normal distribution to find the following probabilities a through e.
00:11
This question is challenging our understanding of normal distributions.
00:15
So remember that a z table map z scores under probabilities for the standard normal distribution.
00:20
So focusing first in the standard normal before we dive into how to utilize for variable x, we have the probability that z gradin z not equals p.
00:27
Not corresponding to the area in purple p.
00:29
To the right of our z -knot score.
00:31
As an example, it's probably z -rated than 0 is 0 .5.
00:35
We can solve for such problems using the symmetry of the normal curve and the fact that the total area under a normal curve is 1.
00:40
Specifically, we'll solve for this problem, we need to convert our variable x to a z score using the conversion z equals x minus me over sigma...