Search any question & find its solution
Question:
Answered & Verified by Expert
If the mean and variance of a binomial variable $\mathrm{X}$ are 2.4 and 1.44 respectively, then the parameters $n$ and $p$ are respectively
Options:
Solution:
1742 Upvotes
Verified Answer
The correct answer is:
$6, \frac{2}{5}$
$\begin{aligned} & \text {} \because \text { Mean }=2.4 \Rightarrow n p=2.4 \\ & \text { Variance }=1.44 \Rightarrow n p(1-p)=1.44 \\ & \Rightarrow 2.4(1-p)=1.44 \Rightarrow p=\frac{2}{5} \\ & \text { and } n p=2.4 \Rightarrow n=2.4 \times \frac{5}{2}=6.0\end{aligned}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.