1. List all of the characteristics of the Standard Normal Distribution.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:10:46 1
3134_M9L4_practice...
AFDA
9.4 Practice
1. List all of the characteristics of the Standard Normal Distribution.
2. Why is finding the z-score called standardizing data?
3. Does the Empirical Rule apply to the standard nomal curve?
4. Define percentile.
5. When finding the percentage of data in a given section of the normal curve, you are finding the
under the curve.
6. To find the area under the curve, you need four pieces of information. What are they?
7. Write what you would put in for the lower bound (min) and the upper bound (max) to find each
probability in your calculator.
P (x > 15) min
P (10<x<13) min
P(x < 50) min
P(x>125) min
max
max
max
max
For #8 - 10, find the probability of the event described.
8. For a normal distribution with u = 138.2 and a = 10.3, find the probability of...
a) P(x > 140) =
b) P(x < 120) =
c) P(115 <x< 125) =
d) P(x > 130) =
9. For a normal distribution with u = 12.8 and o = 1.35, find the probability of...
a) P(x > 11) =
c) P(10.5 <x< 11.2) =
b) P(x < 12.2) =
d) P(13.1 <x< 13.9)=
.
AFDA
9.4 Practice
10. The SAT is one of two major college aptitude tests that is taken. The mean composite score is
1060 with a standard deviation of 195. Assuming that the distribution of scores is approximately
normal, find the probability that a randomly selected test taker.
a) scores above 1100.
b) scores between 1100 and 1200.
c) scores above 1400.
11. Using the information from #10, find the percentile for each score:
a) Susan scored 980; this puts her in the
percentile.
b) Jaydin scored 1125; this puts him in the
percentile.
c) Yesinia scored 1302; this puts her in the
percentile.
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