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Question: At a casino game, you roll a D6 die and based on the outcome

18 Aug 2024,9:23 PM

 

At a casino game, you roll a D6 die and based on the outcome your roll you win or lose money. This is determined by the following rule: If i is the outcome of the roll, then you win/lose $10×i×(i-3). Let X be the random variable denoting your winning/loss.

a. What is supp(X) 

b. Write down the probability mass function pX (x).

c. Express the event: "you don't win any money" in terms of X.

d. What is the probability of this event?

e. Calculate your expected winning E(X)

f. What is the variance Var(X)  What units is Var(X) in?

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