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In: Statistics and Probability

A player of a video game is confronted with a series of opponents and has 77%...

A player of a video game is confronted with a series of opponents and has 77% probability of defeating each one. Success with any opponent is independent of previous encounters. The player continues to contest opponents until defeated. (a) What is the probability mass function of the number of opponents contested in a game? (b) What is the probability that a player defeats at least 3 opponents in a game? Round your answer to two decimal places (e.g. 0.98). (c) What is the expected number of opponents contested in a game? Round your answer to the nearest integer. (d) What is the probability that a player contests 4 or more opponents in a game? Round your answer to four decimal places (e.g. 0.9876). (e) What is the expected number of game plays until a player contests 4 or more opponents? Round your answer to the nearest integer.

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orchestra answered 1 year ago
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