Math Problem Statement

A binomial probability experiment is conducted with the given parameters. Use technology to find the probability of x successes in the n independent trials of the experiment.

nequals=77​,

pequals=0.40.4​,

xless than<44

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Part 1

Upper P left parenthesis Upper X less than 4 right parenthesisP(X<4)equals=enter your response here

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

Solution

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Math Problem Analysis

Mathematical Concepts

Binomial Distribution
Probability Theory
Cumulative Probability

Formulas

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Theorems

Binomial Probability Theorem
Cumulative Distribution Function (CDF)

Suitable Grade Level

Grades 10-12