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  • Need Solution for R.D.Sharma Maths Class 12 Chapter 31 Mean and Variance of a Random Variable Exercise Fill in the Blanks Question 5 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 31 Mean and Variance of a Random Variable Exercise Fill in the Blanks  Question 5  Maths Textbook Solution.

Answers (1)

Answer: \frac{14}{5}

Hint: - You must know the rules for solving problems of random variables.

Given: -

           \begin{array}{|c|c|c|c|c|} \hline X & 0 & 1 & 2 & 3 \\ \hline P(X) & \frac{1}{5} & \frac{3}{10} & \frac{2}{5} & \frac{1}{10} \\ \hline \end{array}

Solution: - The probability distribution of x is given below:

\begin{aligned} &E\left(X^{2}\right)=\sum_{i=0}^{3} P_{i}\left(X_{i}\right)^{2} \\\\ &=(0)^{2} \times \frac{1}{5}+(1)^{2} \times \frac{3}{10}+(2)^{2} \times \frac{2}{5}+(3)^{2} \times \frac{1}{10} \\\\ &=0+\frac{3}{10}+\frac{8}{5}+\frac{9}{10} \\\\ &=\frac{14}{5} \end{aligned}

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