Question: Problem 3 Let X and Y are independent normal random variable with E(X]-0,V(X)=5, E(Y)=10 and V[Y)-9. A random variable T is defined as To2X+3Y. a)

Problem 3 Let X and Y are independent normal random variable

Problem 3 Let X and Y are independent normal random variable with E(X]-0,V(X)=5, E(Y)=10 and V[Y)-9. A random variable T is defined as To2X+3Y. a) Determine the probability distribution of T with complete parameters. [1 Point] b) Determine P(25

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