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John is playing a game and on a certain day he does not know any of the answers so he answers randomly. The game consists of answering 10 multiple-choice questions (4 choices). Let X be the number of questions answered correctly, find: distribution function, cumulative distribution function, mean, variance, standard deviation, confidence interval and interpret the results. If it is known that to win you must answer at least 7 questions right, what is the probability that you will win? .

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John is playing a game and on a certain day he does not know any of the answers so he answers randomly. The game consists of answering 10 multiple-choice questions (4 choices). Let X be the number of questions answered correctly, find: distribution function, cumulative distribution function, mean, variance, standard deviation, confidence interval and interpret the results. If it is known that to win you must answer at least 7 questions right, what is the probability that you will win?

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