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>4) , n=8 , p=0.7

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution

Formulas

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
P(X > 4) = 1 - P(X <= 4)

Theorems

Binomial Theorem

Suitable Grade Level

Grades 10-12