Math Problem Statement
Solution
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:
- Probability that a randomly selected person is male and rides the bus?
- Probability that a randomly selected person is female and drives a car?
- Probability that a randomly selected person is male?
- 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.
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.
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.
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.
Would you like to know the answers in decimal form or explore any specific details about the calculations?
Related Questions:
- What is the probability of a female who rides the train?
- How do you find the probability that a randomly selected person is a male and rides the train?
- What is the probability of selecting someone who drives a car?
- How does the
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Math Problem Analysis
Mathematical Concepts
Probability
Contingency Tables
Formulas
P(event) = favorable outcomes / total outcomes
P(A and B) = P(A ∩ B)
Theorems
Basic probability theorem
Addition rule of probability
Suitable Grade Level
Grades 8-10
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