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TS EAMCET · Maths · Statistics

If a random variable \(X\) denotes the number that appears on the upper face of a die when it is rolled, then \(\frac{\text { Variance of } X}{\text { Mean of } X}\) is equal to

  1. A \(\frac{7}{2}\)
  2. B \(\frac{35}{12}\)
  3. C \(\frac{5}{6}\)
  4. D \(\frac{9}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{5}{6}\)

Step-by-step Solution

Detailed explanation

\( \text { Mean }=\mu =E(x)=\sum_{P_i x_i}\) \(=\frac{1}{6}+\frac{2}{6}+\frac{3}{6}+\frac{4}{6}+\frac{5}{6}+\frac{6}{6}=\frac{21}{6} \)…