CUET · MATHS · PYQ PAPER 2023
The variance of the Binomial Distribution \(B\left(5, \frac{1}{4}\right)\) is:
- A \(\frac{4}{5}\)
- B \(\frac{7}{8}\)
- C \(\frac{15}{16}\)
- D \(\frac{4}{7}\)
Answer & Solution
Correct Answer
(C) \(\frac{15}{16}\)
Step-by-step Solution
Detailed explanation
\(n = 5, p = \frac{1}{4}\) \(Var(X) = n \cdot p \cdot (1-p)\) \(Var(X) = 5 \cdot \frac{1}{4} \cdot (1 - \frac{1}{4})\) \(Var(X) = 5 \cdot \frac{1}{4} \cdot \frac{3}{4}\) \(Var(X) = \frac{15}{16}\)
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