Math Problem Statement

A binomial experiment with probability of success p=0.65 and n= 5 trials is conducted. What is the probability that the experiment results in exactly 4 successes?

Do not round your intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.)

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution

Formulas

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

Theorems

Binomial Theorem

Suitable Grade Level

Grades 10-12