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

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Answer: The given distribution of probability is not a probability distribution.

Hint: \sum P\left ( x=n \right )=1

Given:

X 3 2 1 0 -1
P\left ( X \right ) 0.3 0.2 0.4 0.1 0.05


Solution:

\begin{aligned} &P(x=3)+P(x=2)+P(x=1)+P(x=0)+P(x=-1) \\ &=0.3+0.2+0.4+0.1+0.05 \\ &=1.05 \neq 1 \end{aligned}

So, the given distribution of probabilities is not a probability distribution.

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