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Let X ~ Binomial (n1θ( and Y ~Binomialn2θ) with X and Y chosen independently. Let Z = X+ Y…

Let X ~ Binomial (n1θ( and Y ~Binomialn2θ) with X and Y chosen independently. Let Z = X+                                                                                                                                                                                                                             Y . What will be the distribution of Z? (Explain your reasoning.)