Normal Distributions Example: Delta reports that the average age of their pilots is 42.6 years with a standard deviation of 6.3 years. Assume that the distribution of ages is normally distributed. Draw and label the normal model which describes the ages of Delta pilots. M+l0=42.6+6.3 =48.9 M-lo=42.6- 6.3 = 36. 3 %3D %3D M+20=48.9+6.3 = 55.2 M+30=55.2+6.3 3 61.5 M-20=36.3-6.3 34% З4/. 342 = 30 M-30=30-6.3 68% = 23.7 13.5-1 13.5%. 95% 2.35% 2.35% 0.I57. 0.15% 99.7% Let's rece Standard 50 years is of the in What percentage of Delta pilots is older than 50? Why can we not use the Empirical Rule to arrive at an exact answer to this question? What is the best we can say? How will g the chser then 50 61.5 42.6 36.3 30 23.7 ALL

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Author:Amos Gilat
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Normal Distributions
Example: Delta reports that the average age of their pilots is 42.6 years with a standard deviation of 6.3 years.
Assume that the distribution of ages is normally distributed.
Draw and label the normal
model which describes the
ages of Delta pilots.
M+l0=42.6+6.3
=48.9
M-lo=42.6- 6.3
= 36. 3
%3D
%3D
M+20=48.9+6.3
= 55.2
M+30=55.2+6.3
3 61.5
M-20=36.3-6.3
34%
З4/.
342
= 30
M-30=30-6.3
68%
= 23.7
13.5-1
13.5%.
95%
2.35%
2.35%
0.I57.
0.15%
99.7%
Let's rece
Standard
50 years is of
the
in
What percentage of Delta pilots is older than 50? Why can we not use the Empirical Rule to arrive at an exact
answer to this question? What is the best we can say?
How will
g the chser
then 50
61.5
42.6
36.3
30
23.7
ALL
Transcribed Image Text:Normal Distributions Example: Delta reports that the average age of their pilots is 42.6 years with a standard deviation of 6.3 years. Assume that the distribution of ages is normally distributed. Draw and label the normal model which describes the ages of Delta pilots. M+l0=42.6+6.3 =48.9 M-lo=42.6- 6.3 = 36. 3 %3D %3D M+20=48.9+6.3 = 55.2 M+30=55.2+6.3 3 61.5 M-20=36.3-6.3 34% З4/. 342 = 30 M-30=30-6.3 68% = 23.7 13.5-1 13.5%. 95% 2.35% 2.35% 0.I57. 0.15% 99.7% Let's rece Standard 50 years is of the in What percentage of Delta pilots is older than 50? Why can we not use the Empirical Rule to arrive at an exact answer to this question? What is the best we can say? How will g the chser then 50 61.5 42.6 36.3 30 23.7 ALL
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