At a carnival, one game costs $1 to play. The contestant gets one shot in an attempt to bust a balloon. Each balloon contains a slip of paper with one of the following messages: Sorry, you do not win, but you get your dollar back. (The contestant has not lost the $1 cost.) Congratulations, you win $2. (The contestant has won $1.) Congratulations, you win $5. (The contestant has won $4.) Congratulations, you win $10. (The contestant has won $9.) If the contestant does not bust a balloon, then the $1 cost is forfeited. The table below displays the probability distribution of the discrete random variable, or net winnings for this game. Net Winnings($): -1, 0, 1, 4, 9 Probability: 0.25, ?, 0.3, 0.08, 0.02 1.What is the sum of the probabilities in a discrete probability distribution? Why? 2. What is the probability that a contestant will bust a balloon and receive the message, “Sorry, you do not win, but you get your dollar back”? 3. What is the net amount that a contestant should expect to win per game if the game were to be played many times?
At a carnival one game costs $1 to play
The contestant gets one shot in an attempt to bust a balloon
sum of the probabilities in a discrete probability distribution
Maria Cruz
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