Question

23 Given X ~ B (n , p)
i) If n= 10, p = 0.4 , find E(X) and ​

Answer 1

Answer:

Given X∼B(n,p),n=10,p=0.4

We know that p+q=1⇒q=1−q⇒q=1−0.4=0.6

E(X)=np=10×0.4=4

V(X)=npq=10×0.4×0.6=2.4