The table shows the distribution, by age, of a random sample of 2860 moviegoers ages 12-74. If one moviegoer is randomly selected from this population, find the probability, expressed as a simplified fraction, that the moviegoer's age is less than 65. Age Distribution of Moviegoers Ages 12-24 Number 920 25-44 950 45-64 790 65-74 200 The probability is. (Type an integer or a simplified fraction.)

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The image presents a table and a probability question related to the age distribution of moviegoers. The table contains the following information:

**Age Distribution of Moviegoers:**
- Ages 12-24: 920 moviegoers
- Ages 25-44: 950 moviegoers
- Ages 45-64: 790 moviegoers
- Ages 65-74: 200 moviegoers

The total sample size is 2860 moviegoers, aged from 12 to 74.

**Problem Statement:**
The task is to find the probability, expressed as a simplified fraction, that a randomly selected moviegoer is younger than 65 years old.

**Solution Explanation:**
To find the probability, add the number of moviegoers in age groups under 65 (12-24, 25-44, and 45-64) and divide by the total number of moviegoers.

- Total number of moviegoers younger than 65: 920 + 950 + 790 = 2660

The probability that a randomly selected moviegoer is less than 65 years old is:

\[
\frac{2660}{2860}
\]

This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor.

**Final Output:**

The probability is \( \frac{133}{143} \).

(Type an integer or a simplified fraction.)
Transcribed Image Text:The image presents a table and a probability question related to the age distribution of moviegoers. The table contains the following information: **Age Distribution of Moviegoers:** - Ages 12-24: 920 moviegoers - Ages 25-44: 950 moviegoers - Ages 45-64: 790 moviegoers - Ages 65-74: 200 moviegoers The total sample size is 2860 moviegoers, aged from 12 to 74. **Problem Statement:** The task is to find the probability, expressed as a simplified fraction, that a randomly selected moviegoer is younger than 65 years old. **Solution Explanation:** To find the probability, add the number of moviegoers in age groups under 65 (12-24, 25-44, and 45-64) and divide by the total number of moviegoers. - Total number of moviegoers younger than 65: 920 + 950 + 790 = 2660 The probability that a randomly selected moviegoer is less than 65 years old is: \[ \frac{2660}{2860} \] This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor. **Final Output:** The probability is \( \frac{133}{143} \). (Type an integer or a simplified fraction.)
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