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Use Example B on pg 163 to solve the following problem. Find an expression to find an approximation of the mean of Y if g(x) = Vx and X~uniform(0,0). That is find E(Y). Verify your answer with the example in Rice if 0 = 1.

Use Example B on pg 163 to solve the following problem. Find an expression to find an approximation of the mean of Y if g(x) = Vx and X~uniform(0,0). That is find E(Y). Verify your answer with the example in Rice if 0 = 1.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 18E
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Use Example B on pg 163 to solve the following problem. Find an expression to find an approximation of the mean of Y if g(x) = Vx and X~uniform(0,0). That is find E (Y). Verify your answer with the example in Rice if 0 = 1.
Transcribed Image Text:Use Example B on pg 163 to solve the following problem. Find an expression to find an approximation of the mean of Y if g(x) = Vx and X~uniform(0,0). That is find E (Y). Verify your answer with the example in Rice if 0 = 1.
EXAMPLEB This example examines the accuracy of the approximations using a simple test case. We choose the function g(x) and X uniform on [1, 2]. The graph of g(x) in Figure 4.9 shows that g is more nearly linear in the latter case, so we would expect the approximations to work better there. Let Y = X; because X is uniform on [0, 1], Vx and consider two cases: X uniform on [0, 1], E(Y) = 1.6F 1.4- 1.2- 1.0 .8 .6 F .4 .2 .5 1.0 1.5 2.0 FIGURE 4.9 The function g(x) = is more nearly linear over the interval |1, 21 than over the interval [0, ). search (x)8
Transcribed Image Text:EXAMPLEB This example examines the accuracy of the approximations using a simple test case. We choose the function g(x) and X uniform on [1, 2]. The graph of g(x) in Figure 4.9 shows that g is more nearly linear in the latter case, so we would expect the approximations to work better there. Let Y = X; because X is uniform on [0, 1], Vx and consider two cases: X uniform on [0, 1], E(Y) = 1.6F 1.4- 1.2- 1.0 .8 .6 F .4 .2 .5 1.0 1.5 2.0 FIGURE 4.9 The function g(x) = is more nearly linear over the interval |1, 21 than over the interval [0, ). search (x)8
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