Viewer Responses to New Television Show. A survey to...

Viewer Responses to New Television Show. A survey to determine viewer response to a new television show obtained the following data. $$ \begin{array}{lc} \text { Rating } & \text { Frequency } \\ \text { Poor } & 4 \\ \text { Below average } & 8 \\ \text { Avorage } & 11 \\ \text { Above average } & 14 \\ \text { Excellent } & 13 \end{array} $$ a. What is the probability that a randomly selected viewer will rate the new show as average or better? b. What is the probability that a randomly selected viewer will rate the new show below average or worse?

Viewer Responses to New Television Show. A survey to determine viewer response to a new television show obtained the following data.
$$
\begin{array}{lc}
\text { Rating } & \text { Frequency } \\
\text { Poor } & 4 \\
\text { Below average } & 8 \\
\text { Avorage } & 11 \\
\text { Above average } & 14 \\
\text { Excellent } & 13
\end{array}
$$
a. What is the probability that a randomly selected viewer will rate the new show as average or better?
b. What is the probability that a randomly selected viewer will rate the new show below average or worse?

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Key Concepts

Frequency Distribution

A frequency distribution is a tabular representation that shows the number of occurrences for each category or outcome in a dataset. It helps in understanding how data points are spread across different classes or intervals, providing a clear picture of the overall distribution of the collected data.

Probability

Probability is a measure that quantifies the chance of a specific outcome occurring within a defined set of all possible outcomes. It is calculated as the ratio of the number of favorable outcomes to the total number of outcomes, assuming each outcome is equally likely.

Cumulative Frequency

Cumulative frequency refers to the successive sum of frequencies up to a certain class or category. It is used to determine the total number of observations that fall within or below a given category, which is useful for calculating probabilities for aggregated groups of data.

Sample Space

The sample space is the complete set of all possible outcomes of an experiment or survey. It forms the basis for all probability calculations, as probabilities are determined by comparing the number of favorable outcomes against the total number of outcomes in this space.

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