Question

The mean and variance of a binomial distribution are $\alpha$ and $\frac{\alpha}{3}$ respectively If $P(X=1)=\frac{4}{243}$, then $P(X=4$ or 5$)$ is equal to :

• A. $\frac{5}{9}$
• B. $\frac{64}{81}$
• C. $\frac{16}{27}$
• D. $\frac{145}{243}$

Answer 1

Answer: (C)

$\frac{16}{27}$

Answer 2

The correct option is(C): $\frac{16}{27}$.