TS EAMCET · Maths · Statistics
If \(m\) and \(\sigma^2\) are the mean and variance of the random variable \(X\), whose distribution is given by 
Then
- A \(m=\sigma^2=2\)
- B \(m=1, \sigma^2=2\)
- C \(m=\sigma^2=1\)
- D \(m=2, \sigma^2=1\)
Answer & Solution
Correct Answer
(C) \(m=\sigma^2=1\)
Step-by-step Solution
Detailed explanation
Given, distribution is \(\begin{aligned}\therefore Mean, m & =\sum_{i=1}^4 p_i x_i \\ & =0 \times \frac{1}{3}+1 \times \frac{1}{2}+2 \times 0+3 \times \frac{1}{6}\end{aligned}\) \(=0+\frac{1}{2}+0+\frac{1}{2}=1\) Variance, \(\sigma^2=\sum_{i=1}^4 p_i\left(x_i-m\right)^2\)…
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