Math Problem Statement

31% of all college students major in STEM (Science, Technology, Engineering, and Math). If 32 college students are randomly selected, find the probability that exactly 10 of them major in STEM. Round to 4 decimal places.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution

Formulas

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

Theorems

Binomial Theorem

Suitable Grade Level

College Level (Introductory Statistics)