EL ENG 126 Midterm: ee126-fa2001-mt1-Anantharam-exam

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The exam starts at 3:40 p. m. sharp and ends at 5:00 p. m. sharp. For each of the following statements, indicate whether you believe that the statement is true or believe it is false, and give a briefs explanation of your reasoning. A correct answer without a valid explanation gets 1 points. A correct answer with a valid explanation gets 3 points. (a) for any three events a, b, and c, if p (a. Then the event that the two cards are both aces is independent of the event that they are both diamonds. (d) g(x) is a real valued function on r satisfying g(x) >= x. Let x be a random variable and let y = g(x). (e) adding a constant to a random variable does not change its standard deviation. (f) a random variable x is known to satisfy fx(-2) = 0 and fx(10) = 1.

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