Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

If the mean of a binomial distribution is 5 and its standard deviation is 1, then the probability of ten successes is :

Options:

${^{25}C}_{10}\left(\frac{1}{5}\right)^{10}\left(\frac{4}{5}\right)^{15}$

${^{15}C}_{10}\left(\frac{4}{5}\right)^{10}\left(\frac{1}{5}\right)^{15}$

${^{25}C}_{10}\left(\frac{1}{5}\right)^{15}\left(\frac{4}{5}\right)^{10}$

${^{20}C}_{10}\left(\frac{1}{5}\right)^{10}\left(\frac{4}{5}\right)^{10}$

Correct Answer:

${^{25}C}_{10}\left(\frac{1}{5}\right)^{10}\left(\frac{4}{5}\right)^{15}$

Explanation:

The correct answer is Option (1) → ${^{25}C}_{10}\left(\frac{1}{5}\right)^{10}\left(\frac{4}{5}\right)^{15}$

'n' here is not a whole numbers, verified after calculation.

Hence, this can't be solved.