Math Problem Statement
college claims that 70% of students receive financial aid. Suppose that 4 students at the college are randomly selected. We are interested in the number of students in the sample who receive financial aid. a. What constitutes a success on a single trial? π₯ = ___________________________________________________________________________ b. What is the probability of success on a single trial? c. Make a table that shows the probability distribution d. Find the probability that AT MOST 2 of the students in the sample receive financial aid. e. Find the probability that AT LEAST 3 of the students in the sample receive financial aid. f. Find the mean and the standard deviation using the shortcut formulas for the binomial distribution: ππππ ππ ππππππππ πππ π‘ππππ’π‘πππ: E(x)= Standard deviation of the distribution = π =
Solution
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Math Problem Analysis
Mathematical Concepts
Binomial Distribution
Probability
Statistics
Formulas
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
E(X) = n * p
Ο = sqrt(n * p * (1 - p))
Theorems
Binomial Theorem
Law of Large Numbers
Suitable Grade Level
Grades 10-12
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