Math Problem Statement
A school newspaper reporter decides to randomly survey 10 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 25% of students attend Tet festivities. We are interested in the number of students who will attend the festivities.
Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)
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)
P(X <= 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
Theorems
Binomial Theorem
Suitable Grade Level
Grades 10-12
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