If X and Y are two independent random variable, then E(XY) = ?

If A and B are two independent events, then P(A/B) = ?

Answer as directed: if X and Y are two random variables, under what condition E(XY) = E(X).E(Y) ?

E and F are two events in a random experiment such that P(E) = 0.6,P(F) = 0.3,P (E ∩ F) = 0.2. Find P (E/F) and P(F/E).

Fill up the gaps Two independent variable are______.

In Fig.10.13, XYandX'Y' are two parallel tangent to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X'Y' at B.Prove that angleAOB=90^@ .

If V(X+Y) = V(X) + V(Y), then x and Y are _____ random variables. (Fill in the blank).

Answer the following: Define a random variable.

The number of litres of petrol you buy to fill a car's petrol tank will decide the amount you have to pay. Which is the independent variable here? Think about it.

Can two independent source of light produce interference?

If for a random variable X, E(X) = 12 and Var (X) = 9 then find the value of E(2X+3) and Var (2X +3).