Question: This is probability distribution unit grade 12 data management In the Most Exciting Game on the Universe, contestants must draw a card from a deck

This is probability distribution unit grade 12 data management

In the "Most Exciting Game on the Universe", contestants must draw a card from a deck of 52 standard playing cards. If they draw and ace, they win $70. If they draw a face card, they win $35. If they draw an even numbered card, they win $20. For any other card, they must pay $25. a) Show the probability distribution for the different amounts that could be won or lost. [3] b) How much can a contestant expect to win or lost on average? [2] c) How much should the game company charge for a contestant to join in and play this game, knowing that all of their profits will be donated to a charity, and how much would they end up donating? [2]

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