Q13Comprehension1 Mark27 Oct 2024PassageBased on the above data, answer the given subquestions. Let X,YX,YX,Y be i.i.d. Uniform{1,2,3}\operatorname{Uniform}\{1,2,3\}Uniform{1,2,3}. Define a new random variable Z=X3YZ=X^3YZ=X3Y.Find the range of Z∣Y=2Z\mid Y=2Z∣Y=2.A{1,2,3}\{1,2,3\}{1,2,3}B{1,8,27}\{1,8,27\}{1,8,27}C{2,16,27}\{2,16,27\}{2,16,27}D{2,16,54}\{2,16,54\}{2,16,54}
