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Suppose you’re playing an online video game and you need to win 5 games to earn...

Suppose you’re playing an online video game and you need to win 5 games to earn a shiny trophy. Based on how your skill has improved recently, you assume that you have a 60% chance of winning each game. Let the random variable Xx be the number of games you lose before getting the trophy.

a) What typewow. of distribution does X have? What is its probability mass function, f(x)?

b) What is E(X)? What is V(X)?

c) Suppose player skill is represented by a number of points which goes up or down with each game depending on whether they’ve won or lost. If you, the player, are awarded 20 points for winning a game, and are deducted 20 points for losing a game, how much should you expect your ranking to have changed by the time you’ve earned the trophy?

math   Statistics-And-Probability   
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