Math Problem Statement
Find the mean, variance, and standard deviation of the random variable having the probability distribution given in the following table. (Round your answers to four decimal places.) Random variable, x -9 -8 -7 -6 -5 P(X = x) 0.13 0.18 0.36 0.14 0.19
Solution
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Math Problem Analysis
Mathematical Concepts
Probability Theory
Statistics
Random Variables
Formulas
Mean (μ) = Σ(x * P(X = x))
Variance (σ²) = Σ((x - μ)² * P(X = x))
Standard Deviation (σ) = √Variance
Theorems
Expected Value
Variance
Suitable Grade Level
Grades 10-12
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