Math Problem Statement

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Part 1

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.

n equals 9n=9​,

p equals 0.8p=0.8​,

x less than or equals 3x≤3

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Part 1

The probability of

x less than or equals 3x≤3

successes is

enter your response here.

​(Round to four decimal places as​ needed.)

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution
Cumulative Probability

Formulas

P(X = x) = (n choose x) * p^x * (1 - p)^(n - x)
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Theorems

Binomial Theorem
Law of Large Numbers

Suitable Grade Level

Grades 9-12