If X=Φ then n(P(X))=?.

For the set A, if n(A)=m, then n[P(A)]=?

If X~B(n,p) , then find Var(X).

If n(A)=2,then find the value of n(P(A))

X follows the poisson distribution and P(X=1)=P(X=2) , find P(X=4).

If the points (p, q) and (q, p) are equidistant from the point (x, y). show that x = y.

If the points (p,0), (0,q)and (x,y) are collinear, prove that x/p+y/q= 1 .

Given that 2 is a zero of the polynomial p(x)= 3x^3-9x^2-30x+72 . Find the other zeros.

If A = { x : x = 4n + 1 , n is a natural number le 5 } and B = {3n : n is a natural number le 6 } then find (A-B) uu (B-A)

If A = { x : x = 4n + 1 , n is a natural number le 5 } and B = {3n : n is a natural number le 6 } then find (A-B) nn (B-A)

If P(x) =[(cos x, -sin x),(sin x , cos x)] , then show that P(A) P(B)=P(A+B) .