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  • Explain Solution R.D. Sharma Class 12 Chapter 31Mean and Variance of a Random Variable Exercise 31.2 Question 20 maths Textbook Solution.

Explain Solution R.D. Sharma Class 12 Chapter 31Mean and Variance of a Random Variable  Exercise 31.2 Question 20 maths Textbook Solution.

Answers (1)

Answer:

\frac{19}{9}

Hint:

Mean E\left ( X \right )=\sum_{i-1}^{n}X_{i}P_{i}

Given:

A die has thrown

Solution:

\begin{aligned} &P(X=5)=\frac{9}{27} \\ &P(X=4)=\frac{6}{27} \\ &P(X=3)=\frac{4}{27} \\ &P(X=-3)=\frac{8}{27} \\ &E(X)=\sum_{i=1}^{n} X_{i} P_{i} \\ \end{aligned}

\begin{aligned} &=5 \times \frac{8}{27}+4 \times \frac{6}{27}+3 \times \frac{4}{27}+(-3) \times \frac{8}{27} \\ &=\frac{45+24+12-24}{27} \\ &=\frac{57}{27}=\frac{19}{9} \end{aligned}

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