rec 3 Two random variables, X and Y, have independent Poisson distributions given by X- Po(1.4) and Y-Po(3.6) respectively. i Using the distributions of X and Y only, calculate lal P(X+ Y= 0) (bl P(X+...

Extracted text: rec 3 Two random variables, X and Y, have independent Poisson distributions given by X- Po(1.4) and Y-Po(3.6) respectively. i Using the distributions of X and Y only, calculate lal P(X+ Y= 0) (bl P(X+ Y= 1) Ic) P(X+ Y = 2). The random variable Tis defined by T=X+ Y. (ii) Write down the distribution of T. lii) Use your distribution from part liil to check your results in part li).