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A student takes a 10-question true-false quiz. Because the student had such a busy schedule, he or she could not study and randomly and independently

A student takes a 10-question true-false quiz. Because the student had such a busy schedule, he or she could not study and randomly and independently guesses at each answer by tossing a fair coin.

(a) What is the probability of the student guessing all the answers correctly?

(b) What is the probability of the student guessing at least 2 answers correctly?

(c) What is the expected number of correct answers that the student gets?

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