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The outcome of a spin on the wheel is a discrete random variable. Consider X the dollar amount spun on the wheel, where Bankrupt and Lose a Turn s0, and Free Play - $500. There are 24 wedges on the wheel
PMF for Spln Outcome 8 0 300 350 400 450 500 550 600 700 800 900 5000 The following table provides the probability mass function for X. Round values to 3 decimal places. XSO 300 $35o $400 $450 $500 $550 $600 $700 $800 $900 $5,000 Count255400s 2 Px) 0.083 0.208 0.042 0.083 0.042 0.125 0.02 0.125 0.042 0.083 0.083 0.042 a. (1 point) What is the most likely dollar amount? b. (1 point) How likely is it to spin Lose a turn or Bankrupt? C. (3 points) What is the average dollar amount? Show work! d. (3 points) Suppose a contestant spins the wheel three times, how likely is it they spin $0 each time? Show work! e. (3 points) Suppose a contestant spins the wheel three times, how likely is it they spin $0 at least one time? Show work!
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