3 the cdf fx x of a discrete rv x is plotted below

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Unformatted text preview: ; fX x  0; FX 1 = 1; FX ,1 = 0. 3. The c.d.f. FX x of a discrete r.v. X is plotted below. What is PrX = 0:6 ? A 0.3 B 0.7 C 0.5 D 0 Cumulative Distribution Function of r.v. X 1.0 0.7 0.2 0.3 0.5 1.0 x Answer: D 5 From the c.d.f. plot, we infer that PrX = 0:3 = 0:2; PrX = 0:5 = 0:7 , 0:2 = 0:5; PrX = 1 = 1 , 0:7 = 0:3; and PrX = x=0 for x 6= 0:3; 0:5; 1. 1 4. a A sub-system A contains 3 independently operating components, and the probability that each component is functioning is p = 0:8. The sub-system functions as a whole if a...
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