Elementary and secondary schools were classified by the...

Elementary and secondary schools were classified by the number of computers they had. $$ \begin{array}{l|ccccc} \text { Computers } & 1-10 & 11-20 & 21-50 & 51-100 & 100+ \\ \hline \text { Schools } & 3170 & 4590 & 16,741 & 23,753 & 34,803 \end{array} $$ Choose one school at random. Find the probability that it has a. 50 or fewer computers b. More than 100 computers c. No more than 20 computers

Elementary and secondary schools were classified by the number of computers they had.
$$
\begin{array}{l|ccccc}
\text { Computers } & 1-10 & 11-20 & 21-50 & 51-100 & 100+ \\
\hline \text { Schools } & 3170 & 4590 & 16,741 & 23,753 & 34,803
\end{array}
$$
Choose one school at random. Find the probability that it has
a. 50 or fewer computers
b. More than 100 computers
c. No more than 20 computers

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Key Concepts

Frequency Distribution

A frequency distribution is a summary of how often different values occur within a data set. It organizes data into categories along with their counts, which assists in visualizing and analyzing the spread and central tendencies of the data. This tool is vital for associating probabilities with each discrete category, such as groups of schools by computer counts.

Random Sampling

Random sampling is the process of selecting a subset of elements from a larger population in such a way that every element has an equal chance of being chosen. This method ensures unbiased and statistically representative results, which is crucial when using frequency distributions and probability calculations to infer properties of the entire population.

Probability

Probability is the measure of the likelihood that an event will occur. It is calculated as the ratio of the number of favorable outcomes to the total number of outcomes in the entire sample space. This concept is essential when determining the chance of selecting a sample that meets specific criteria, such as the number of computers in schools.

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