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Unformatted text preview: r.v. C = 5+2X = cost to travel X miles r.v. T = X2 = time to travel X miles Find mean of the distance, cost, and time to get from fire house to fire 7 f(x) = P(X=x) .7 .3 X, distance 1 2 C=5+2X, cost ? ? T=X2, time ? ? More…Now find the standard deviation of cost & time to get to fire 8 f(x) = P(X=x) 0.7 0.3 X, distance 1 2 C=5+2X, cost C2 T T2 True: E(5+2X)=5+2E(X) False: E(5+X3)=5+[E(X)]3 9 Which of these functions is a linear function of X? 10 Given r.v. X, f(0)=.2 f(1)=.5 f(2)=.3 E(X)=1.1 V(X)=.49 h(X)=4X h(X)=X2 +2X+1 Find mean and variance of three h(X) 11 Given r.v. X, f(0)=.2 f(1)=.5 f(2)=.3 E(X)=1.1 V(X)=.49 h(X)=4X h(X)=X2 +2X+1 Proof: Mean and Variance of a Linear Function of r.v. X 12 Given r.v. X with possible values xi, i=1,2, . .. and a linear function of X, h(X) = a+bX E(h(X)) = a + b E(X) V(h(X)) = b2 V(X) More… 13...
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This note was uploaded on 02/27/2012 for the course ISE 540:210 taught by Professor Susanalbin during the Spring '12 term at Rutgers.
 Spring '12
 SUSANALBIN

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