3 Two random variables, X and Y, have independent Poisson distributions given by X - Po(1.4) and Y- Po(3.6) respectively: lil Using the distributions of
3 Two random variables, X and Y, have independent Poisson distributions given by X - Po(1.4) and Y- Po(3.6) respectively: lil Using the distributions of X and Y only, calculate (al P(X + Y= 0) (b) P(X + Y= 1) (cl P(X + Y = 2). The random variable Tis defined by T= X + Y. (ii) Write down the distribution of T. (iiil Use your distribution from part lill to check your results in part li]
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