Math Problem Statement

Find the mean of this probability distribution: x = {0, 1, 2, 3} with P(x) = {0.25, 0.3, 0.25, 0.2}. Round your answer to one decimal place.

Solution

To find the mean of the given probability distribution, we use the formula for the mean (expected value):

μ=(xP(x))\mu = \sum (x \cdot P(x))

Step-by-Step Solution:

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Math Problem Analysis

Mathematical Concepts

Probability Distribution
Expected Value
Mean of a Distribution

Formulas

μ = Σ (x * P(x))

Theorems

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Suitable Grade Level

Grades 10-12