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Probability Distributions Essay

809 words - 4 pages

Probability Distributions
Individual Project
Tammy Lynn Ayers
AIU Online

American Inmates Union
Data Collection Results

Submitted by
Tammy Lynn Ayers
On
November 27, 2011

Dear Mr. Smith,
We administered a survey to our inmates in order to measure their satisfaction with their incarceration. From this survey, we collected nine different sections of data. They include: gender, age, types of offense, type of facility, length of sentence, satisfaction with criminal justice system, satisfaction of legal services, sentence satisfaction, and incarceration services satisfaction.
This data-set was used to profile the satisfaction of future inmates. This email represents our ...view middle of the document...

2. What is the length of sentence distribution by gender?
  | GENDER x LENGTH Cross Tabulation |
  | | Length of Sentence |   |
Gender | <2 Years | 2-5 Years | Over 5 Years | Total |
Male | 8 | 6 | 6 | 20 |
Female | 2 | 1 | 2 | 5 |
Total | 10 | 7 | 8 | 25 |

  | Percentage Distribution |   |
  | Length of Sentence | |   |
Gender | <2 years | 2-5 Years | Over 5 Years | Total |
Male | 40% | 30% | 30% | 100% |
Female | 40% | 20% | 40% | 100% |

From the tables above, we have determined that 40% of females have been given a sentence of over 5 years, whereas 30% of males have been given a sentence of over 5 years. This clearly indicates that a higher percentage of women receive sentences in length of over 5 years.

3. What is the probability that an individual will be between 16 and 21 years of age?
  | Age Distribution |
Age | | Count |
16 - 21 | 9 |
22 - 49 | 9 |
50 - 65 | 7 |
Total |   | 25 |

We are interested in finding the probability of a person between the ages of 16 and 21, the number of outcomes is 9 and the total possible outcomes are 25. Therefore, 9 / 25 = 36% is the probability.
4. What is the probability that an individual’s satisfaction with the criminal justice system score is 5.2 or lower?
CJ Satisfaction Distribution |
CJ Satisfaction | Count |
< 5.2 | | 10 |
> 5.2 |   | 15 |
Total |   | 25 |

We are interested in finding the probability of satisfaction being lower than 5.2, the number favorable outcomes is 9...

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