Math Problem Statement

Let be a random variable with the following probability distribution. Value x of X P(X=x) 0 0.10 10 0.25 20 0.05 30 0.15 40 0.30 50 0.15 Complete the following. (If necessary, consult a list of formulas.)

(a) Find the expectation E (X) of X.

(b) Find the variance Var (X) of X.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability Theory
Statistics
Expectation
Variance

Formulas

Expectation: E(X) = Σx * P(X = x)
Variance: Var(X) = E(X^2) - [E(X)]^2

Theorems

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Suitable Grade Level

Grades 10-12