AP EAMCET · Maths · Probability
The probability distribution of a random variable \(X\) is given below.
Then the variance of \(X\) is
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(A) 1
Step-by-step Solution
Detailed explanation
\begin{aligned} & \therefore \text { Mean, } m=\sum_{i=1}^4 p_i x_i \\ & =0 \times \frac{1}{10}+\frac{1 \times 2}{10}+\frac{2 \times 3}{10}+\frac{3 \times 4}{10} \\ & =0+\frac{2}{10}+\frac{6}{10}+\frac{12}{10} \\ & =\frac{20}{10}=2 \\ & \therefore \text { Variance }=\sum_{i=1}^4…
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