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Normal Probability Distribution and z Scores Questions

Jun 7, 2022 | Mathematics

Jun 7, 2022 | Mathematics

Normal Probability Distribution and z Scores Questions

Normal Probability Distribution and z Scores Questions

The Normal Probability Distribution
In §6.2 we are introduced to the Normal Probability Distribution and the special case of the Normal Probability Distribution, the Standard Normal Probability Distribution, which is a Normal Probability Distribution with mean (u) zero and variance (σ2) one.
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One way to find probabilities from a Standard Normal Distribution is to use probability tables.
What exactly is a z score?
What do we need to know to calculate a z score? (What variables?)
What is the point of finding a z score? What are we doing?
There is a z table in your book, or you can use an online one. A hint from Dr. Klotz: This is my favorite online z table. http://www.z-table.com/ Don’t lose that link!
According to the table, what is the probability when z ‰¤ -3.00? Would that be a common occurrence or a rare occurrence?
According to the table, what are the z scores for z ‰¤-2.15 and z ‰¤2.15? What about z ‰¤ -0.55 and z ‰¤ 0.55?
Add each pair. Why do they total 1?

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