The mean and variance of a binomial distribution are α and α/3 respectively. ​

Question

The mean and variance of a binomial distribution are α and \(\frac\alpha3\) respectively. If P(X = 1) = \(\frac 4{243}\), then P(X = 4 or 5) is equal to:

(A) \(\frac 59\)

(B) \(\frac{64}{81}\)

(C) \(\frac{16}{27}\)

(D) \(\frac{145}{243}\)

Answer 1

Correct option is (C) \(\frac{16}{27}\)