Paul likes to play Wordle, an online game where you must correctly guess a 5-letter word....

 

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Paul likes to play Wordle, an online game where you must correctly guess a 5-letter word. The probability that Paul guesses the correct word during one game is 0.85, independent of each other game. (a) Paul plans to play one game each day next year for a total of 365 games. Let X represent the total number of these games in which he correctly guesses the word. What is the exact probability distribution of X? To answer this question, state the name of the probability distribution and the value(s) of any relevant parameter(s). (b) What probability distribution, different from the one you stated in part (a), can be used to approximate the probability distribution of X? Explain and state any relevant parameter value(s). (c) Approximate the probability that Paul will win at least 315 of the games next year. Paul likes to play Wordle, an online game where you must correctly guess a 5-letter word. The probability that Paul guesses the correct word during one game is 0.85, independent of each other game. (a) Paul plans to play one game each day next year for a total of 365 games. Let X represent the total number of these games in which he correctly guesses the word. What is the exact probability distribution of X? To answer this question, state the name of the probability distribution and the value(s) of any relevant parameter(s). (b) What probability distribution, different from the one you stated in part (a), can be used to approximate the probability distribution of X? Explain and state any relevant parameter value(s). (c) Approximate the probability that Paul will win at least 315 of the games next year.

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a The probability distribution for X the total number of games Paul correctly guesses the word in ou... View the full answer