How close are the experimental probabilities to the theoretical probabilities? Write a brief comparison of the theoretical and experimental probabilities. For which X values are the probabilities very close? Where is the biggest difference? How could you change the experiment to improve these estimates?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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Related questions
Question
Tally
C3
Count
Percent
0.50
1
1
1.00
2
7
3.50
3
27
13.50
53
26.50
51
25.50
6
36
18.00
7
21
10.50
8
1.00
N=
200
Theoretical
Experimental
Probability
Difference
Probability
0.0009
0.009
0.010
0.001
2
0.044
0.055
0.011
3
0.117
0.110
0.007
4
0.205
0.225
-0.020
5
0.246
0.250
-0.004
6
0.205
0.195
0.010
7
0.117
0.105
0.012
8.
0.044
0.040
0.004
0.009
0.005
0.004
10
0.0009
0.005
-0.0041
Transcribed Image Text:Tally C3 Count Percent 0.50 1 1 1.00 2 7 3.50 3 27 13.50 53 26.50 51 25.50 6 36 18.00 7 21 10.50 8 1.00 N= 200 Theoretical Experimental Probability Difference Probability 0.0009 0.009 0.010 0.001 2 0.044 0.055 0.011 3 0.117 0.110 0.007 4 0.205 0.225 -0.020 5 0.246 0.250 -0.004 6 0.205 0.195 0.010 7 0.117 0.105 0.012 8. 0.044 0.040 0.004 0.009 0.005 0.004 10 0.0009 0.005 -0.0041
How close are the experimental probabilities to the theoretical probabilities? Write a brief
comparison of the theoretical and experimental probabilities. For which X values are the
probabilities very close? Where is the biggest difference? How could you change the
experiment to improve these estimates?
Transcribed Image Text:How close are the experimental probabilities to the theoretical probabilities? Write a brief comparison of the theoretical and experimental probabilities. For which X values are the probabilities very close? Where is the biggest difference? How could you change the experiment to improve these estimates?
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