Math Problem Statement

The probability distribution of the random variable X is given in the following table. Find Var(X). (Round your answer to 4 decimal places.)

x

1

2

3

4

5

P(X =x)

0.12

0.24

0.36

0.17

0.11

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Statistics
Expected Value
Variance

Formulas

E(X) = Σ (x_i * P(X = x_i))
E(X^2) = Σ (x_i^2 * P(X = x_i))
Var(X) = E(X^2) - (E(X))^2

Theorems

Expected Value Theorem
Variance Formula

Suitable Grade Level

Grades 10-12