Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

The probability that a person is a singer 0.25. The probability that out of 8 persons 6 are singers is :

Options:

$\frac{7}{2^{14}}$

$\frac{63}{2^{14}}$

$\frac{3}{2^{14}}$

$\frac{5}{2^{14}}$

Correct Answer:

$\frac{63}{2^{14}}$

Explanation:

The correct answer is Option (2) → $\frac{63}{2^{14}}$

Binomial probability is,

$P(X=k)={^nC}_kp^k(1-p)^{n-k}$

$P(X=6)={^8C}_6(\frac{1}{4})^6(\frac{3}{4})^2$

$=\frac{63}{2^{14}}$