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In: Statistics and Probability

Isabel is taking a multiple-choice question quiz. The quiz has 7 questions and each question has...

  1. Isabel is taking a multiple-choice question quiz. The quiz has 7 questions and each question has 4 possible answers (only one of them is a correct answer). Since she didn’t study at all, she will guess all the questions. Let X be the random variable representing the number of answers she’ll guess correctly.

    1. (3 pts) What values does X take on?

    2. (4 pts) Calculate the probability that she guesses 2 questions correctly.

    3. (4 pts) Calculate the probability of passing the quiz. She needs to guess at least 5 questions correctly to pass the quiz. .(show steps and if calculator was used)

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