Binomial Distribution Analysis Probability
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Binomial Distribution Analysis Probability
Binomial Distribution Formulas:
Key:
n number of trials
k number of successes
p probability of success
1-p probability of not success, also sometimes denoted by q
(?(n@k)) n choose k , the number of ways to choose k things from a list of n things.
(?(n@k))=n!/(n-k)!k!Exactly k successes
Probability of getting exactly k successes out of n trials.P(x=k)=(?(n@k)) p^k (1-p)^(n-k)
In Excel this would be =BINOM.DIST(k,n,p,FALSE).At most k successes
Probability of getting at most k successes out of n trials.P(x?k)=?_(i=0)^k??(?(n@i)) p^i (1-p)^(n-i) ?
In Excel this would be =BINOM.DIST(k,n,p,TRUE).Less than k successes
Probability of getting less than k successes out of n trials.P(x<k)=?_(i=0)^(k-1)??(?(n@i)) p^i (1-p)^(n-i) ? In Excel this would be =BINOM.DIST(k-1,n,p,TRUE). At least k successes Probability of getting at least k successes out of n trials. P(x?k)=1-?_(i=0)^(k-1)??(?(n@i)) p^i (1-p)^(n-i) ? In Excel this would be =1-BINOM.DIST(k-1,n,p,TRUE). More than k successes Probability of getting more than k successes out of n trials. P(x>k)=1-?_(i=0)^k??(?(n@i)) p^i (1-p)^(n-i) ?
In Excel This would be =1-BINOM.DIST(k,n,p.TRUE).Binomial Distribution Analysis Probability
RUBRIC
Excellent Quality
95-100%
Introduction 45-41 points
The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.
Literature Support
91-84 points
The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.
Methodology
58-53 points
Content is well-organized with headings for each slide and bulleted lists to group related material as needed. Use of font, color, graphics, effects, etc. to enhance readability and presentation content is excellent. Length requirements of 10 slides/pages or less is met.
Average Score
50-85%
40-38 points
More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided.
83-76 points
Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration.
52-49 points
Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met.
Poor Quality
0-45%
37-1 points
The background and/or significance are missing. No search history information is provided.
75-1 points
Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration.
48-1 points
There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met
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Binomial Distribution Analysis Probability