Math Problem Statement

Suppose a random variable, x, arises from a binomial experiment. If n = 10, and p = 0.1, find the following probabilities using the binomial formula. Round to four decimal places, if necessary.

P(x = 9) = 

P(x = 5) = 

P(x = 2) = 

P(x ≤ 1) = 

P(x ≥ 8) = 

P(x ≤ 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)
C(n, k) = n! / (k!(n-k)!)

Theorems

Binomial Theorem

Suitable Grade Level

Grades 9-12