Exercise · ZW-CUMULATIVE-DISTRIBUTION-FUNCTION-001 · ★☆☆ Basic
\(X\) takes the values 0, 1 and 2 with probabilities 0.2, 0.5 and 0.3. What is \(F(1)\)?
Choose one option.
Show answer
- A. 0.7
Explanation
\(F(1)=P(X\le 1)=0.2+0.5=0.7\). Add the masses up to 1, inclusive.
Review the concept: Cumulative distribution function
The cumulative distribution function \(F_X\) of a random variable \(X\) gives, for each real number \(x\), the probability \(P\) that \(X\) takes a value less than or equal to \(x\).
\[F_X(x)=P(X\le x)\]
More practice problems: cumulative distribution function
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