EXAMPLE 6: Find the percentage for the following scores, still using the given information in Example 5. a. between 12 and 35 b. less than 25 c. greater than 27 d. less than 18 and greater than 24 GIVEN: N = 200 p- 30 o -8 SOLUTION: a. between 12 and 35 A = A1+ Aa A = 0.4878 + 0.2357 A = 0.7235 P = 72.35% 12- 30 35- 30 Z = z = -1.25 A1 = 0.4878 Z = 0.63 Az = 0.2357 -3 -2 -1 0 1 2 3 b. less than 25 A = 0.5 - A1 A0.5 - 0.2357 A = 0.2643 P = 26.43% 25- 30 Z = -0.63 A, = 0.2357 -3 -2 -1 2 з c. greater than 27 27- 30 A = 0.5 + A1 A = 0.5 + 0.1480 A = 0.6480 Z = -0.38 A = 0.1480 P = 64.80%

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Chapter1: Combinatorial Analysis
Section: Chapter Questions
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TNT
O 24 1 5:45
4G
TNT
Q3-W3-STAT-AN...
EXAMPLE 6:
Find the percentage for the following scores, still using the given
information in Example 5.
a. between 12 and 35
b. less than 25
c. greater than 27
d. less than 18 and greater than 24
GIVEN:
N = 200
p- 30
o -8
SOLUTION:
a. between 12 and 35
Z = 12-30
Z- -1.25
A1 = 0.4878
Z= 35- 30
A = Ai+ A2
8
Z = 0.63
Az = 0.2357
A = 0.4878 + 0.2357
A = 0.7235
P = 72.35%
-2 -1 0 1 2 3
-3
b. less than 25
Z= 25- 30
Z = -0.63
A1 = 0.2357
A = 0.5 - A1
AF0.5 - 0.2357
A = 0.2643
P= 26.43%
-3
-2 -1 01
2
3
c. greater than 27
A = 0.5 + A1
A = 0.5 + 0.1480
A = 0.6480
27- 30
Z = -0.38
A1 = 0.1480
P = 64.80%
Transcribed Image Text:TNT O 24 1 5:45 4G TNT Q3-W3-STAT-AN... EXAMPLE 6: Find the percentage for the following scores, still using the given information in Example 5. a. between 12 and 35 b. less than 25 c. greater than 27 d. less than 18 and greater than 24 GIVEN: N = 200 p- 30 o -8 SOLUTION: a. between 12 and 35 Z = 12-30 Z- -1.25 A1 = 0.4878 Z= 35- 30 A = Ai+ A2 8 Z = 0.63 Az = 0.2357 A = 0.4878 + 0.2357 A = 0.7235 P = 72.35% -2 -1 0 1 2 3 -3 b. less than 25 Z= 25- 30 Z = -0.63 A1 = 0.2357 A = 0.5 - A1 AF0.5 - 0.2357 A = 0.2643 P= 26.43% -3 -2 -1 01 2 3 c. greater than 27 A = 0.5 + A1 A = 0.5 + 0.1480 A = 0.6480 27- 30 Z = -0.38 A1 = 0.1480 P = 64.80%
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