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Home » For a binomial distribution, the mean is 6 and the standard deviation is . Find the probability of getting 5 successes.
For a binomial distribution, the mean is 6 and the standard deviation is \sqrt{2}. Find the probability of getting 5 successes.
Binomial Distribution | CBSE | Class 12 | Exercise 32A | Maths | RS Aggarwal
For a binomial distribution, the mean is 6 and the standard deviation is \sqrt{2}. Find the probability of getting 5 successes.

\begin{array}{l} \text { Mean }=\mathrm{np}=6 \\ \text { Variance }=\mathrm{npq}=2 \\ \Rightarrow \mathrm{q}=\frac{1}{3} \\ \Rightarrow \mathrm{p}=1-\frac{1}{3}=\frac{2}{3} \\ \Rightarrow \mathrm{n}=9 \end{array}
The probability of getting 5 successes,
{ }^{9} C_{5}\left(\frac{2}{3}\right)^{5}\left(\frac{1}{3}\right)^{4}

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