MHT CET · Maths · Statistics
For \(\mathrm{X} \sim \mathrm{B}(\mathrm{n}, \mathrm{p})\), if \(\mathrm{p}=0.6, \mathrm{E}(\mathrm{X})=6\), then \(\operatorname{Var}(\mathrm{X})=\)
- A 6.6
- B 24
- C 2.4
- D 6
Answer & Solution
Correct Answer
(C) 2.4
Step-by-step Solution
Detailed explanation
We have \(p=0.6\) and \(n p=6 \Rightarrow n=10\)
\(
\therefore \operatorname{Var}(\mathrm{X})=\mathrm{npq}=(10)(0.6)(0.4)=2.4
\)
\(
\therefore \operatorname{Var}(\mathrm{X})=\mathrm{npq}=(10)(0.6)(0.4)=2.4
\)
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