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Lisa Is in a Free-Throw Shooting Contest Where Each Contestant

question 19

Essay

Lisa is in a free-throw shooting contest where each contestant attempts 10 free throws. On average, Lisa makes 77% of the free throws she attempts.
A) What is the probability that she makes exactly eight free throws?
B) What is the probability she makes at least nine free throws?
C) What is the probability she makes fewer than nine free throws?
D) Lisa is competing against Bill to see who can make the most free throws in 10 attempts. Suppose Bill goes first and makes seven. Should we expect Lisa to make at least as many as Bill? Explain.


Definitions:

Radical

Refers to the root of a number, with the most common being the square root, though it can refer to cube roots or higher.

Square Root

A number which produces a specified quantity when multiplied by itself.

Square Root

The figure that, upon being multiplied with itself, results in the starting number.

Radial Approximation

A method or process used to estimate values or functions based on their radial distance from a central point.

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