Math Problem Statement

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 9​, p equals 0.5​, x less than or equals 3 Question content area bottom Part 1 The probability of x less than or equals 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

Binomial probability formula: P(X = x) = C(n, x) * p^x * (1 - p)^(n - x)
Cumulative probability: P(X ≤ x) = P(X = 0) + P(X = 1) + ... + P(X = x)

Theorems

Binomial Theorem
Cumulative Distribution Function (CDF)

Suitable Grade Level

Grades 9-12