The Table Below Shows How Total Donations, Average Donations, Total

question 82

Multiple Choice

The table below shows how total donations, average donations, total labor costs and average labor costs vary depending on the number of employees State U hires for its fundraising activities. $$\begin{array} { | c | c | c | c | c | } \hline \begin{array} { c } \text { Number of } \\\text { Employees }\end{array} & \begin{array} { c } \text { Total } \\\text { Donations }\end{array} & \begin{array} { c } \text { Average } \\\text { Donations }\end{array} & \begin{array} { c } \text { Total } \\\text { Labor Costs }\end{array} & \begin{array} { c } \text { Average } \\\text { Labor Costs }\end{array} \\\hline 1 & \$ 30,000 & & & \$ 8,000 \\\hline 2 & \$ 42,426 & & \$ 17,000 & \\\hline 3 & & \$ 17,321 & \$ 27,000 & \\\hline 4 & \$ 60,000 & & & \$ 9,500 \\\hline 5 & & \$ 13,416 & \$ 50,000 & \\\hline\end{array}$$ The President of State U decides to hire fundraising employees as long as their average benefit exceeds their average cost. This results in ______ employees being hired and a net benefit (total donations minus total labor costs) of ______.

• A)5; $17,080
• B)5; $67,080
• C)4; $60,000
• D)4; $22,000

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Definitions:

Random Events

Outcomes or occurrences that are unpredictable and determined entirely by chance.

Probability

The measure of the likelihood that an event will occur, quantified as a number between 0 and 1, with 1 indicating certainty.

Tree Diagram

A diagram used to show the total number of possible outcomes in a probability experiment.

Simple Events

A simple event is an outcome or event that cannot be further broken down into simpler components within the context of a probability experiment.