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Maya surveyed $17$ passengers on a city bus. $\newline$ Is this a random sample of the inhabitants of the city? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Identify representative, random, and biased samples

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Q. Maya surveyed

17

passengers on a city bus.

\newline

Is this a random sample of the inhabitants of the city?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Random Sample Definition: Question Prompt: Is the sample of $17$ passengers on a city bus a random sample of the inhabitants of the city?
Scenario Analysis: Step $1$ : Understand the concept of a random sample. A random sample means every individual in the population has an equal chance of being selected.
Sample vs Population Comparison: Step $2$ : Analyze the scenario. Maya surveyed only $17$ passengers on a city bus. This group is likely not representative of the entire city's population, as it only includes bus passengers at a specific time and place.
Sample vs Population Comparison: Step $2$ : Analyze the scenario. Maya surveyed only $17$ passengers on a city bus. This group is likely not representative of the entire city's population, as it only includes bus passengers at a specific time and place. Step $3$ : Compare the sample to the population. Since the sample consists solely of bus passengers, it may not include people who use other forms of transportation or none at all. This could bias the results as it doesn't cover all demographics.

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