The picture for the dataset for AIDS cases below include the numbers of cases of AIDS in Australia by date of diagnosis for successive 3-month periods from 1984 to 1988. (Data from National Centre for HIV Epidemiology and Clinical Research, 1994.)Answer the following question below. Do not reuse a former solution and explain your answer with detail. You cannot use normal distribution for this answer.Suggest TWO probability distributions in statistics which could be good candidates for fitting the number of cases in this study. Which probability distribution would you prefer to fit the data in this particular example? Why? ### Dataset Overview: Quarterly Case Counts from 1984 to 1988This dataset provides a detailed account of the number of cases recorded each quarter from 1984 to 1988. The table is organized into three columns: **Year**, **Quarter**, and **Cases**.#### Data Breakdown:- **1984**: - Q1: 1 case - Q2: 6 cases - Q3: 16 cases - Q4: 23 cases - **1985**: - Q1: 27 cases - Q2: 39 cases - Q3: 31 cases - Q4: 30 cases- **1986**: - Q1: 43 cases - Q2: 51 cases - Q3: 63 cases - Q4: 70 cases - **1987**: - Q1: 88 cases - Q2: 97 cases - Q3: 91 cases - Q4: 104 cases- **1988**: - Q1: 110 cases - Q2: 113 cases - Q3: 149 cases - Q4: 159 cases#### Analysis:The data demonstrates a clear upward trend in the number of cases over the period covered. Analyzing this data can offer valuable insights into the patterns and possible factors contributing to the rise in cases over time. Such datasets are crucial for epidemiological studies, resource allocation, and policy making.

Given information: The data represents the values of the variable’s year, quarter and cases.

Answered: The picture for the dataset for AIDS…

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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The picture for the dataset for AIDS cases below include the numbers of cases of AIDS in Australia by date of diagnosis for successive 3-month periods from 1984 to 1988. (Data from National Centre for HIV Epidemiology and Clinical Research, 1994.)

Answer the following question below. Do not reuse a former solution and explain your answer with detail. You cannot use normal distribution for this answer.

Suggest TWO probability distributions in statistics which could be good candidates for fitting the number of cases in this study. Which probability distribution would you prefer to fit the data in this particular example? Why?

### Dataset Overview: Quarterly Case Counts from 1984 to 1988

This dataset provides a detailed account of the number of cases recorded each quarter from 1984 to 1988. The table is organized into three columns: **Year**, **Quarter**, and **Cases**.

#### Data Breakdown:

- **1984**:
- Q1: 1 case
- Q2: 6 cases
- Q3: 16 cases
- Q4: 23 cases

- **1985**:
- Q1: 27 cases
- Q2: 39 cases
- Q3: 31 cases
- Q4: 30 cases

- **1986**:
- Q1: 43 cases
- Q2: 51 cases
- Q3: 63 cases
- Q4: 70 cases

- **1987**:
- Q1: 88 cases
- Q2: 97 cases
- Q3: 91 cases
- Q4: 104 cases

- **1988**:
- Q1: 110 cases
- Q2: 113 cases
- Q3: 149 cases
- Q4: 159 cases

#### Analysis:

The data demonstrates a clear upward trend in the number of cases over the period covered. Analyzing this data can offer valuable insights into the patterns and possible factors contributing to the rise in cases over time. Such datasets are crucial for epidemiological studies, resource allocation, and policy making.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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