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TS EAMCET · Maths · Probability

The probability distribution of a random variable \(X\) is given below

The variance of \(X\) is

  1. A 1.6
  2. B 0.24
  3. C 0.84
  4. D 0.75
Verified Solution

Answer & Solution

Correct Answer

(C) 0.84

Step-by-step Solution

Detailed explanation

\( \text { We have, } \) \( \text { Variance } \begin{aligned} \left(\sigma^2\right) & =\Sigma P_i X_i^2-\left(\Sigma P_i X_i\right)^2 \\ & =3.4-(1.6)^2=3.4-2.56=0.84 \end{aligned} \)