A Poll Was Taken Of $100$ Students at a Commuter Campus to Find Out How They

question 233

Multiple Choice

A poll was taken of $100$ students at a commuter campus to find out how they got to campus. The results were: $41$ said they drove alone. $31$ rode the bus. $29$ rode in a carpool. $9$ used both carpools and rode the bus. $10$ used both a carpool and sometimes drove alone. $4$ used buses as well as drove alone. $2$ used all three methods. How many are B only (Region II) ? A = {people who drive alone} B = {people who ride the bus} C = {people who carpool} Use the figure (with Regions I to VIII) to answer the question.

• A) 31 students
• B) 17 students
• C) 29 students
• D) 12 students
• E) 20 students

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Definitions:

Normally Distributed

Refers to a probability distribution that is symmetrically shaped around the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Mean

The arithmetic average of a set of numbers, calculated by adding them all together and dividing by the count of these numbers.

Right-Skewed

Describes a distribution of data where the tail on the right side of the distribution is longer or fatter than the left side, indicating that the mean is greater than the median.

Standard Deviation

The square root of the variance, measuring the dispersion of a dataset relative to its mean.