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  • Provide solution for RD Sharma maths class 12 chapter 31 Mean and Variance of a Random Variable exercise 31.1 question 3 sub question 1 maths textbook solution

Provide solution for RD Sharma maths class 12 chapter 31 Mean and Variance of a Random Variable exercise 31.1 question 3 sub question 1 maths textbook solution

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Answer: a=\frac{1}{81}

Hint: \sum P\left ( x=n \right )=1

Given:

X 0 1 2 3 4 5 6 7 8
P\left ( X \right ) a 3a 5a 7a 9a 11a 13a 15a 17a

Solution: Since \sum P\left ( x \right )=1

\Rightarrow P(0)+P(1)+P(2)+P(3)+P(4)+P(5)+P(6)+P(7)+P(8)=1

\Rightarrow a+3 a+5 a+7 a+9 a+11 a+13 a+15 a+17 a=1

\Rightarrow 81 a=1

\Rightarrow a=\frac{1}{81}

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