(b) What is the expectation of the random variable X?

8. (5% each, 20% in total) Yes/No questions. No need to state reasons. (a) Consider two events \( E_{1} \) and \( E_{2} \). Is the statement "if \( E_{1} \) and \( E_{2} \) are disjoint, then \( E_{1} \) and \( E_{2} \) are independent" true?

(b) What is the expectation of the random variable \(X\)?

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