MHT CET · Maths · Probability
The variance of the following probability distribution is,
- A \(\frac{1}{8}\)
- B \(\frac{5}{8}\)
- C \(\frac{1}{4}\)
- D \(\frac{3}{8}\)
Answer & Solution
Correct Answer
(D) \(\frac{3}{8}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned}& \text { Variance }=\sum \mathrm{p}_{\mathrm{i}} \mathrm{x}_{\mathrm{i}}^2-\left(\sum \mathrm{p}_{\mathrm{i}} \mathrm{x}_{\mathrm{i}}\right)^2 \\& =\frac{5}{8}-\left(\frac{1}{2}\right)^2=\frac{5}{8}-\frac{1}{4}=\frac{3}{8}\end{aligned}\)
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