This preview shows pages 1–13. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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 ? ? MoreNow 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...
View Full
Document
 Spring '12
 SUSANALBIN

Click to edit the document details