The mean and variance of a binomial distribution are 4 and (4/3) respectively. Find P(X≥ 1).
Mean = np = 4
Variance = npq = 4/3
⇒ q =
⇒ p = 1 - =
⇒ n = 6
The probability (X) is
6C1()1(
)5 + 6C1(
)1(
)5 + 6C1(
)1(
)5 + 6C1(
)1(
)5 + 6C1(
)1(
)5 + 6C1(
)1(
)5
=