. X has a binomial distribution with the parameters n = 100 and heta = 0.4. That
is the probability distribution of X is given by
100
b(x; n, heta ) = (0.4)x
(0.6)100-x
, x = 0, 1, 2, 3,..., 100.
x has a binomial distribution with the parameters n=100 and heta =
is the probability distribution of x is given by
b(x;n, heta )=([100],[x])(0.4)^(x)(0.6)^(100-x),x=0,1,2,3,dots,100.
(i) Show that b(x;100,0.4) is a probability distribution.x
(i) Show that b(x; 100, 0.4) is a probability distribution.
7
(ii) Evaluate (prove) to Show that E(X) = 40 (=n heta )
5. X has a binomial distribution with the parameters n = 100 and 0 = is the probability distribution of X is given by 100 b(x;n,0) (0.4)* (0.6)100-x , x = 0, 1, 2, 3,..., 100.
(i)
Show that b(x; 100, 0.4) is a probability distribution.
6
(ii) Evaluate(prove) to Show that E(X)= 40 (=n0)