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In a multiple choice quiz, there are 10 questions and 4 choices for each question (a, b, c, d). One student has not studied for the quiz at all, and decides to randomly guess the answers. Denote X the number of questions he gets right.

(a). What is the probability distribution for X? Specify the parameters of that distribution.

(b). What is the probability that he gets less than 5 questions right? (Hint: use pbinom or dbinom function)

(c). Compute P(2 X 4).