For Questions Use the Following Narrative

question 23

Essay

For Questions use the following narrative:
Narrative: Shaking hands
Suppose the chances of picking up a cold from someone by shaking hands with them is .01 (assuming you don't know whether they have a cold or not), and that each encounter you have is independent of another.
-{Shaking hands narrative} Explain, using probability, why your chance of not getting a cold in a given day decreases as the number of handshakes you make increases?

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Definitions:

Linear Programming

A mathematical modeling technique used to achieve the best outcome in a mathematical model whose requirements are represented by linear relationships.

Objective Function

A mathematical function that represents the goal or objective of an optimization problem, typically to maximize or minimize some quantity.

Linear Equation

An algebraic equation that represents a straight line, typically in the form y = mx + c, where m is the slope and c is the y-intercept.

Graphical Method

A visual representation technique, often used in operations research and management to solve linear programming problems and analyze data.