Math Problem Statement

Assume that a procedure yields a binomial distribution with a trial repeated n=12 times. Use either the binomial probability formula (or technology) to find the probability of k=4 successes given the probability p=0.54 of success on a single trial.

(Report answer accurate to 4 decimal places.)

Solution

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Math Problem Analysis

Mathematical Concepts

Binomial Distribution
Probability Theory

Formulas

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

Theorems

Binomial Theorem

Suitable Grade Level

Grades 10-12