https://file.aiquickdraw.com/mathbot/file/1725772995411p9dynhju.jpg

The problem is about a contingency table showing data on how Americans commute to work, segmented by gender. Here's the breakdown of the dataThe problem is about a contingency table showing data on how Americans commute to work, segmented by gender. Here's the breakdown of the 

### Table Data:
|     | Car  | Bus | Train | Total |
|-----|------|-----|-------|-------|
| Men | 117  | 14  | 31    | 162   |
| Women | 95   | 28  | 25    | 148   |
| Total | 212 | 42  | 56    | 310   |

### Questions:
1. Probability that a randomly selected person is male and rides the bus?
2. Probability that a randomly selected person is female and drives a car?
3. Probability that a randomly selected person is male?
4. Probability that a randomly selected person rides the bus?

Let's calculate these probabilities:

### 1. Probability that a randomly selected person is male and rides the bus:
To find this, we look for the number of males who ride the bus and divide by the total number of people.

\[
P(\text{Male and Bus}) = \frac{\text{Number of Males on Bus}}{\text{Total Number of People}} = \frac{14}{310}
\]

### 2. Probability that a randomly selected person is female and drives a car:
To find this, we look for the number of females who drive a car and divide by the total number of people.

\[
P(\text{Female and Car}) = \frac{\text{Number of Females Driving Car}}{\text{Total Number of People}} = \frac{95}{310}
\]

### 3. Probability that a randomly selected person is male:
To find this, we look for the total number of males and divide by the total number of people.

\[
P(\text{Male}) = \frac{\text{Total Number of Males}}{\text{Total Number of People}} = \frac{162}{310}
\]

### 4. Probability that a randomly selected person rides the bus:
To find this, we look for the total number of people who ride the bus and divide by the total number of people.

\[
P(\text{Bus}) = \frac{\text{Total Number of People on Bus}}{\text{Total Number of People}} = \frac{42}{310}
\]

Would you like to know the answers in decimal form or explore any specific details about the calculations?

### Related Questions:
1. What is the probability of a female who rides the train?
2. How do you find the probability that a randomly selected person is a male and rides the train?
3. What is the probability of selecting someone who drives a car?
4. How does the

The contingency table shows how Americans commute to work, segmented by gender. The questions ask for probabilities based on the table data, such as the probability of being male and riding the bus, female and driving a car, etc.

This problem covers calculating probabilities from a contingency table that displays how Americans commute to work, segmented by gender. Learn how to calculate the probability of a randomly selected person being male and riding the bus, female and driving a car, and more. Suitable for Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation