12) **The following data represents the age of 30 lottery winners.****Given the frequency distribution for the data:**| Age | Frequency | Relative Frequency | Cumulative Relative Frequency ||----------|-----------|--------------------|------------------------------|| [20, 29] | 3 | 0.1 | 0.1 || [30, 39] | 3 | 0.1 | 0.2 || [40, 49] | 2 | 0.0667 | 0.2667 || [50, 59] | 10 | 0.3333 | 0.6 || [60, 69] | 7 | 0.2333 | 0.8333 || [70, 79] | 4 | 0.1333 | 0.9666 || [80, 89] | 1 | 0.0333 | 0.9999 |**Questions:**1. **What is the frequency of lottery winners of age between 19 and 40?**2. **What percentage of lottery winners are 70 years or older?**3. **What is the relative frequency of ages under 40?**4. **What is the cumulative relative frequency of lottery winners younger than 50?**5. **Which graph shows the cumulative relative frequency?****Explanation of Diagrams:**The table shown lists the ages of lottery winners and their distribution. The "Age" column is divided into ranges (e.g., [20, 29], [30, 39], etc.). The "Frequency" column indicates the number of lottery winners within each age range. The "Relative Frequency" column shows the proportion of winners in each age range relative to the total number of winners. Finally, the "Cumulative Relative Frequency" column provides a running total of the relative frequencies, which helps in understanding the cumulative distribution.For example, the age range [50, 59] has 10 winners, which is about 33.33% of the total. The cumulative relative frequency for the age range [50, 59] is 0.6, meaning 60% of the lottery winners are 59 years old or younger.

Name: 12) **The following data represents the age of 30 lottery winners.****
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Description: 12) **The following data represents the age of 30 lottery winners.****Given the frequency distribution for the data:**| Age | Frequency | Relative Frequency | Cumulative Relative Frequency ||----------|-----------|--------------------|----------

We have tó find given probability.

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47 mins The following data represents the age of 30 lottery winners. Given the frequency distribution for the data, Age Frequency Relative Frequency Cumulative Relative Frequency 0.1 0.1 [20,29] 0.1 0.2 [30,39] 0.2667 [40,49] 2 0.0667 0.6 [50,59] 10 0.3333 0.8333 [60,69] 7. 0.2333 0.9666 70,79] 4 0.1333 0.9999 0.0333 [80,89] What is the frequency of lottery winners of age between 19 and 40? What percentage of lottery winners are 70 years or older? What is the relative frequency of ages under 40? What is the cumulative relative frequency of lottery winners younger than 50? 10:41 PM Which eranh shows the cumulative relative frequenca 6/3/2021 a 23 3.

47 mins The following data represents the age of 30 lottery winners. Given the frequency distribution for the data, Age Frequency Relative Frequency Cumulative Relative Frequency 0.1 0.1 [20,29] 0.1 0.2 [30,39] 0.2667 [40,49] 2 0.0667 0.6 [50,59] 10 0.3333 0.8333 [60,69] 7. 0.2333 0.9666 70,79] 4 0.1333 0.9999 0.0333 [80,89] What is the frequency of lottery winners of age between 19 and 40? What percentage of lottery winners are 70 years or older? What is the relative frequency of ages under 40? What is the cumulative relative frequency of lottery winners younger than 50? 10:41 PM Which eranh shows the cumulative relative frequenca 6/3/2021 a 23 3.

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

12)

**The following data represents the age of 30 lottery winners.**

**Given the frequency distribution for the data:**

| Age | Frequency | Relative Frequency | Cumulative Relative Frequency |
|----------|-----------|--------------------|------------------------------|
| [20, 29] | 3 | 0.1 | 0.1 |
| [30, 39] | 3 | 0.1 | 0.2 |
| [40, 49] | 2 | 0.0667 | 0.2667 |
| [50, 59] | 10 | 0.3333 | 0.6 |
| [60, 69] | 7 | 0.2333 | 0.8333 |
| [70, 79] | 4 | 0.1333 | 0.9666 |
| [80, 89] | 1 | 0.0333 | 0.9999 |

**Questions:**

1. **What is the frequency of lottery winners of age between 19 and 40?**

2. **What percentage of lottery winners are 70 years or older?**

3. **What is the relative frequency of ages under 40?**

4. **What is the cumulative relative frequency of lottery winners younger than 50?**

5. **Which graph shows the cumulative relative frequency?**

**Explanation of Diagrams:**

The table shown lists the ages of lottery winners and their distribution. The "Age" column is divided into ranges (e.g., [20, 29], [30, 39], etc.). The "Frequency" column indicates the number of lottery winners within each age range. The "Relative Frequency" column shows the proportion of winners in each age range relative to the total number of winners. Finally, the "Cumulative Relative Frequency" column provides a running total of the relative frequencies, which helps in understanding the cumulative distribution.

For example, the age range [50, 59] has 10 winners, which is about 33.33% of the total. The cumulative relative frequency for the age range [50, 59] is 0.6, meaning 60% of the lottery winners are 59 years old or younger.

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