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2- Choose the correct answer (Write down the correct answer letter AND valuc at your answer booklet) a. Let X be a real-valued, continuous random varia ble and let YX. Then, If y 2 0, then the cumulative distribution function E,(v): F,(一./5) _ Fx(,5) (D) -Fx(JF) _ F,(-(y) (E) none of the above pt. If a random variable X has a PDF (x)-2(x-1) 1ss2 (A) 35 (B) 5/3 variance of 75. The probability that X lies between 40 and 50 is: 0 elsewhere then E(x) is: (C) 4/5 (D) 5/4(E) none of the above 2pt. 0 elsewhere c. If the continuous random variable X is uniformly distributed with a mean of 45 and a (C) 2/3 (D) 12 1ss2 0 elsewhere (E) none of the above 2pt. , then ơ1 is: If a random variable X has a PDFx)-1) 0 (A) 1/20 (B) 20 (C) 1/18 (D) 1/24(E) Done of the above e | If random variable X has a mean 5 , a standard deviation ơ,-4, and x 2-2X1hen: (A) ,-,-3 and ơ rt: 4 (D)-w. .3 and ơ r-5 (E) none of theabove. . .2pt.

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