In Binomial distribution, Mean = np,Variance = npq and the mode is r if for x = r, the probability function p(x) is maximum.Given np = 4 and npq = 3 ∴ q =
3
4
and p = 1 - q = 1 -
3
4
=
1
4
Also, n =
4
p
=
4
1∕4
= 16 Now, (n + 1) p = (16 + 1)
1
4
=
17
4
= 4 +
1
4
⇒ The distribution will have unique mode(unimodal) & the mode = 4