The Empirical Rule applies rough approximations to probabilities for any unimodal, symmetric distribution. But for the Normal distribution we can be more precise. Use the figure and the fact that the Normal curve is symmetric to answer the questions. Do not use a Normal table or technology.

DistributionAccording to the Empirical Rule:

a. Roughly what percentage of z-scores are between -2 and 2?

i. almost all

ii. 95%

iii. 68%

iv. 50%

b. Roughly what percentage of z-scores are between -3 and 3?

i. almost all

ii. 95%

iii. 68%

iv. 50%

c. Roughly what percentage of z-scores are between -1 and 1.

i. almost all

ii. 95%

iii. 68%

iv. 50%

d. Roughly what percentage of z-scores are greater than 0?

i. almost all

ii. 95%

iii. 68%

iv. 50%

e. Roughly what percentage of z-scores are between 1 and 2?

i. almost all

ii. 13.5%

iii. 50%

iv. 2%

The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

Introductory Statistics Exploring the World Through Data

2nd edition

Authors: Robert Gould, Colleen Ryan

ISBN: 978-0321978271

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