When people fold their hands together with interlocking fingers, most people are more comfortable with one of two ways. In one way, the right thumb ends up on top and in the other way, the left thumb is on top. The table shows the data from one group of people. Judging on the basis of this data set, are the events "right thumb on top" and "male" independent or associated? Click here to view the data comparing gender and thumb positioning. Find the marginal totals. Men Right thumb on top 27 Left thumb on top 15 Total 42 Women 72 40 112 Total 99 55 154 ... Find the overall probability that the person's right thumb is on top. P(R) = (Type an integer or a simplified fraction.)

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**Understanding Thumb Positioning and Gender**

When people fold their hands together with interlocking fingers, they typically find one of two positions more comfortable. In one, the right thumb is on top, and in the other, the left thumb is on top. The following data displays the preferences of a group of people and investigates whether the events "right thumb on top" and "male" are independent or associated.

[Interactive Element: Click to view the data comparing gender and thumb positioning]

---

**Find the Marginal Totals**

|                | Men | Women | Total |
|----------------|-----|-------|-------|
| Right thumb on top | 27  | 72    | 99    |
| Left thumb on top  | 15  | 40    | 55    |
| Total          | 42  | 112   | 154   |

**Question**

Find the overall probability that a person's right thumb is on top.

\[ P(R) = \text{(Type an integer or a simplified fraction.)} \]

**Analysis of the Table:**

The table shows the distribution of thumb positioning preference among men and women. The overall totals for each category help in calculating probabilities and analyzing associations.
Transcribed Image Text:**Understanding Thumb Positioning and Gender** When people fold their hands together with interlocking fingers, they typically find one of two positions more comfortable. In one, the right thumb is on top, and in the other, the left thumb is on top. The following data displays the preferences of a group of people and investigates whether the events "right thumb on top" and "male" are independent or associated. [Interactive Element: Click to view the data comparing gender and thumb positioning] --- **Find the Marginal Totals** | | Men | Women | Total | |----------------|-----|-------|-------| | Right thumb on top | 27 | 72 | 99 | | Left thumb on top | 15 | 40 | 55 | | Total | 42 | 112 | 154 | **Question** Find the overall probability that a person's right thumb is on top. \[ P(R) = \text{(Type an integer or a simplified fraction.)} \] **Analysis of the Table:** The table shows the distribution of thumb positioning preference among men and women. The overall totals for each category help in calculating probabilities and analyzing associations.
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