Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

If the mean and the variance of a binomial distribution are 6 and 3 respectively, then the probability of five successes is :

Options:

${^{12}C}_5 \left(\frac{1}{2}\right)^{12}$

${^{16}C}_5 \left(\frac{1}{4}\right)^{5}\left(\frac{3}{4}\right)^{11}$

${^{12}C}_5 \left(\frac{1}{2}\right)^{5} \left(\frac{2}{3}\right)^{7}$

${^{12}C}_5 \left(\frac{1}{6}\right)^{5} \left(\frac{5}{6}\right)^{7}$

Correct Answer:

${^{12}C}_5 \left(\frac{1}{2}\right)^{12}$