Question

A number of students at a large university were asked if they owned a car and if they lived in a dorm or off campus. The table shows the results. a. What is the probability that a student selected at random lives in a dorm? b. What is the probability that a student selected at random does not own a car? $$\begin{array}{|l|c|c|}\hline & \begin{array}{c}\text { Number of } \\\text { Car Owners }\end{array} & \begin{array}{c}\text { Number Who Do } \\\text { Not Own a Car }\end{array} \\\hline \text { Dorm resident } & 32 & 88 \\\hline \text { Lives off campus } & 59 & 26 \\\hline\end{array}$$

Name: Problem 32, Chapter 9: Prealgebra
Uploaded: 2020-07-28T16:36:08-08:00
Duration: 6 min 11 s
Channel: Sonam Khatri
Description: A number of students at a large university were asked if they owned a car and if they lived in a dorm or off campus. The table shows the results. a. What is the probability that a student selected at random lives in a dorm? b. What is the probability that a student selected at random does not own a car? Number of Car Owners Number Who Do Not Own a Car Dorm resident 32 88 Lives off campus 59 26

   A number of students at a large university were asked if they owned a car and if they lived in a dorm or off campus. The table shows the results.
a. What is the probability that a student selected at random lives in a dorm?
b. What is the probability that a student selected at random does not own a car?
$$\begin{array}{|l|c|c|}\hline & \begin{array}{c}\text { Number of } \\\text { Car Owners }\end{array} & \begin{array}{c}\text { Number Who Do } \\\text { Not Own a Car }\end{array} \\\hline \text { Dorm resident } & 32 & 88 \\\hline \text { Lives off campus } & 59 & 26 \\\hline\end{array}$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 9, Problem 32

Instant Answer

Solved by Expert Sonam Khatri

07/28/2020

Step 1

We do this by adding all the numbers in the table. This gives us: \[32 + 88 + 59 + 26 = 205\] So, there are 205 students in total. Show more…

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A number of students at a large university were asked if they owned a car and if they lived in a dorm or off campus. The table shows the results. a. What is the probability that a student selected at random lives in a dorm? b. What is the probability that a student selected at random does not own a car? $$\begin{array}{|l|c|c|}\hline & \begin{array}{c}\text { Number of } \\\text { Car Owners }\end{array} & \begin{array}{c}\text { Number Who Do } \\\text { Not Own a Car }\end{array} \\\hline \text { Dorm resident } & 32 & 88 \\\hline \text { Lives off campus } & 59 & 26 \\\hline\end{array}$$

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Key Concepts

Probability

Probability is the measure of the likelihood that an event will occur, calculated by dividing the number of favorable outcomes by the total number of outcomes in the sample space.

Sample Space

The sample space is the set of all possible outcomes in an experiment or survey. In probability problems, it represents the total number of subjects or events from which the probabilities are computed.

Marginal Probability

Marginal probability refers to the probability of an event occurring regardless of the outcomes of other variables. It is found by summing the frequencies in the corresponding row or column of a contingency table.

Contingency Tables

Contingency tables organize data into rows and columns based on two categorical variables. They are useful for calculating probabilities by providing a clear breakdown of the distribution of frequencies across different categories.

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