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The Probability That a Basketball Player Will Make a Given 710\frac { 7 } { 10 }

question 9

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The probability that a basketball player will make a given free throw is 710\frac { 7 } { 10 } . To find the probability that the player makes exactly 8 out of her next 10 free throws, evaluate the term
10C8(710)8(310)2{ } _ { 10 } C _ { 8 } \left( \frac { 7 } { 10 } \right) ^ { 8 } \left( \frac { 3 } { 10 } \right) ^ { 2 } in the expansion of (710+310)10\left( \frac { 7 } { 10 } + \frac { 3 } { 10 } \right) ^ { 10 } . Round to four decimal places.


Definitions:

Product Life Cycle

The progression of a product through different stages from introduction to growth, maturity, and decline.

Introduction

The initial part of a document, presentation, or speech that sets the stage for the main content by providing background information or an overview.

Growth

Refers to the increase or expansion in size, quantity, value, or scope of an entity or object, such as a business, economy, population, or personal development.

Maturity

A stage in the product lifecycle where growth slows, sales stabilize, and profit peaks before a potential decline.

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