A poll is given, showing 75% support Amazon building a warehouse in their community. If 10 people are chosen at random, what is the probability that exactly 6 of them will support the project? Round to 4 decimal places, as neede

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 29T
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A poll is given, showing 75% support Amazon building a warehouse in their community.

If 10 people are chosen at random, what is the probability that exactly 6 of them will support the project?

Round to 4 decimal places, as needed.

Expert Solution
Step 1

Given:

Number of trials (n) = 10

Probability of supporting the project (success)  = p = 0.75

Here, exactly 6 of 10 support the project.

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