Let X be a normal random variable with X = 2and 2 X = 9. (a) Find P{1 < X < 5}.

Question

Let X be a normal random variable with X = 2and 2X = 9. (a) Find P{1 < X < 5}. (b) Let Y be a normal random variable with Y= 5 and 2Y = 16. Assume that X and Y are independent. What kind of random variable is X + Y ? What are its parameters? (c) Find P{X + Y < 10}. Let X be a normal random variable with X = 2and 2X = 9. (a) Find P{1 < X < 5}. (b) Let Y be a normal random variable with Y= 5 and 2Y = 16. Assume that X and Y are independent. What kind of random variable is X + Y ? What are its parameters? (c) Find P{X + Y < 10}.

Explanation / Answer

a) since x is given to be a normally distrubuted random variablethus P{-1

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