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- Let X be a discrete random variable with the following PMF: for x = 0 Pxx = a. Find Rx, the range of the random variable X. b. Find P(X≥ 1.5) c. Find P(0 < X < 2) d. Find P(X=0|X < 2) TELLIG 2 1 3 1 6 0 for x = 1 for x = 2 otherwiseConsider the discrete random variable X given in the table below. Calculate the mean, variance, and standard deviation of X. X P(X) 0²= J = 1 4 5 12 17 0.14 0.09 0.13 0.57 0.07 What is the expected value of X?Let Z be a standard normal variable. Find the value of z if z satisfies P(Z > z) = 0.6331. a) 00.35 b) O-0.3 с) О-034 d) 00.34 e) 00.30 D O None of the above. Question 29 Suppose X is a normal random variable with u = 35 and o = 10. Find P(21.4 < X < 39.7). a) 005586 b) 00.5337 c) O0.5939 d) O0.2323 e) 0 0.2478 f) O None of the above.
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