Math Problem Statement

what is the cdf of a function with the pmf F(x) = { P(x=1)=0.1 , P(x=2)=0.4, P(x=3)=0.3, P(x=4)=0.2}

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Cumulative Distribution Function (CDF)
Probability Mass Function (PMF)

Formulas

CDF F(x) = P(X ≤ x)
PMF F(x) = P(X = x)

Theorems

Cumulative distribution function properties: non-decreasing, bounded between 0 and 1

Suitable Grade Level

Grades 9-12