Math Problem Statement

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.

P(X=6) , n=9 , p=0.5

Solution

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Math Problem Analysis

Mathematical Concepts

Binomial Distribution
Probability

Formulas

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
Binomial coefficient: (n choose k) = n! / (k!(n - k)!)

Theorems

Binomial Probability Theorem

Suitable Grade Level

Grades 10-12