AP EAMCET · Maths · Probability
If the probability distribution of a random variable \(X\) is given by
- A 3
- B \(\frac{9}{4}\)
- C \(\frac{3}{2}\)
- D \(\frac{3}{4}\)
Answer & Solution
Correct Answer
(D) \(\frac{3}{4}\)
Step-by-step Solution
Detailed explanation
Variance \(=E\left(X^2\right)-(E(X))^2\) \[ \begin{aligned} & \because \quad \text { Sum of } P\left(x=x_i\right)=1 \\ & \Rightarrow \quad \frac{1}{8}+\frac{3}{8}+3 k+k=1 \Rightarrow k=\frac{1}{8} \end{aligned} \] and the variance…
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