Math Problem Statement
Let X have possible values {1, 2, 3, 4, 5} and probability mass func- tion x 1 2 3 4 5 pX (x) 1 7 1 14 3 14 2 7 2 7 (a) Calculate P (X = 3). (b) Calculate P (X < 3). (c) Calculate P( X < 4 | X > 16 /38)
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Conditional Probability
Probability Mass Function (PMF)
Formulas
P(X = x) = p_X(x)
P(A | B) = P(A and B) / P(B)
Theorems
Law of Total Probability
Bayes' Theorem
Suitable Grade Level
Grades 10-12
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