Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Probability Distributions

Question:

If the mean and variance of a binomial distribution are $\frac{5}{6}$ and $\frac{25}{36}$ respectively. They value of $P(X=2)$ is :

Options:

${^5C}_3\left(\frac{1}{6}\right)^3\left(\frac{5}{6}\right)^2$

${^5C}_1\left(\frac{5}{6}\right)^3\left(\frac{1}{6}\right)^2$

${^5C}_1\left(\frac{5}{6}\right)^2\left(\frac{1}{6}\right)^3$

${^5C}_2\left(\frac{1}{6}\right)^2\left(\frac{5}{6}\right)^3$

Correct Answer:

${^5C}_2\left(\frac{1}{6}\right)^2\left(\frac{5}{6}\right)^3$