AP EAMCET · Maths · Probability
The variance of the random variable \(X\) having the following distribution
- A \(\frac{1}{3}\)
- B \(\frac{2}{3}\)
- C \(\frac{4}{3}\)
- D \(\frac{5}{3}\)
Answer & Solution
Correct Answer
(D) \(\frac{5}{3}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \because \operatorname{var}(x)=E\left(x^2\right)-[E(x)]^2 \\ & \begin{aligned} E(x) & =\Sigma P_i x_i \\ & =\frac{1}{6} \times(-2)+\frac{1}{6}(-1)+\frac{1}{3} \times 0+\frac{1}{6}(1)+\frac{1}{6}(2) \\ & =-\frac{2}{6}-\frac{1}{6}+0+\frac{1}{6}+\frac{2}{6}=0 \\…
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