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Mimi plans make a random guess at 10 true-or-false questions. Answer the following questions: (a) Let X be the number of correct answers Mimi gets.

Mimi plans make a random guess at 10 true-or-false questions. Answer the following questions:

(a) Let X be the number of correct answers Mimi gets. As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively?

(b) Find the probability that she gets at most 5 correct answers. (Round the answer to 3 decimal places.

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