The probability that a person is a singer 0.25. The probability that out of 8 persons 6 are singers is : |
$\frac{7}{2^{14}}$ $\frac{63}{2^{14}}$ $\frac{3}{2^{14}}$ $\frac{5}{2^{14}}$ |
$\frac{63}{2^{14}}$ |
The correct answer is Option (2) → $\frac{63}{2^{14}}$ Binomial probability is, $P(X=k)={^nC}_kp^k(1-p)^{n-k}$ $P(X=6)={^8C}_6(\frac{1}{4})^6(\frac{3}{4})^2$ $=\frac{63}{2^{14}}$ |