8 points) On a game show a you can select one of 4 doors. Behind o

8 points) On a game show a you can select one of 4 doors. Behind
one door there is a prize worth $1000, behind another there is a prize worth $500, behind another there is a prize worth $100, and one door has no prize. You are interested in the amount of money you might win.
a. What is the random variable?
b. Explain why this is not a binomial experiment.
c. Fill in the probability distribution table.
d. What is the expected value (your average winnings)?

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