== 3. Suppose you define a random variable X = (H2-T3)/(H+T)2 where H is the number...

 

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== 3. Suppose you define a random variable X = (H2-T3)/(H+T)2 where H is the number of heads and T is the number of tails in four coin tosses. a. Determine all possible values of X. b. Is X continuous or discrete? c. Based on your answer from part A, provide the probability distribution function f(x) = Prob(X x) for this random variable. d. What is Prob(X>0)? e. What is Prob(X < 1)? f. Determine whether f(x) from part C is a valid probability distribution function. == 3. Suppose you define a random variable X = (H2-T3)/(H+T)2 where H is the number of heads and T is the number of tails in four coin tosses. a. Determine all possible values of X. b. Is X continuous or discrete? c. Based on your answer from part A, provide the probability distribution function f(x) = Prob(X x) for this random variable. d. What is Prob(X>0)? e. What is Prob(X < 1)? f. Determine whether f(x) from part C is a valid probability distribution function.