In a Binomial distribution with 5 trials the mean is 3. Find P and its

1.	In a Binomial distribution with 5 trials the mean is 3. Find P and its variance.
Answer» n = 5, Mean = np = 3 Put n = 5 in np = 3; 5p = 3; p = \(\frac{3}{5}\) = 0.6; P = 0.6; Var(X) = npq = 5 x 0.6(1 – 0.6) = 5 x 0. 6 x 0.4 = 1.2.

In a Binomial distribution with 5 trials the mean is 3. Find P and its variance.

Answer»

n = 5, Mean = np = 3

Put n = 5 in np = 3; 5p

= 3; p = \(\frac{3}{5}\) = 0.6;

P = 0.6; Var(X) = npq

= 5 x 0.6(1 – 0.6)

= 5 x 0. 6 x 0.4 = 1.2.