00:03
In this problem, we wish to use a normal distribution table to find the following z scores, a through d.
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This question is challenging our understanding of how to match a z score in a normal distribution to the associated area under the curve.
00:17
To solve, this first review relevant material for normal distributions before proceeding.
00:21
So, a z table member maps z scores under probabilities.
00:25
So an example, the probability z greater than z not equals p -not implies that the area in purple p -not is the area to the right of our z -not score.
00:32
As an example, it probably z greater than 0 is 0 .5 because the area on either side of the normal distribution is equal, symmetric, or 1 half.
00:40
To solve this problem, we need to rely on two properties of normal curves.
00:43
First, the symmetry of the normal curve, as well as the fact that the total area under the normal curve is 1...