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Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X < 2). (b) Calculate P(1.5 s X S 2). (c) Calculate P(X > 2.5).

Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X < 2). (b) Calculate P(1.5 s X S 2). (c) Calculate P(X > 2.5).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. X < 0 x2 F(x) = 0 < x < 4 16 4 < x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X < 2). (b) Calculate P(1.5 < X < 2). (c) Calculate P(X > 2.5). (d) What is the median checkout duration u? [solve 0.5 = F(¤)]. (e) Obtain the density function f(x). f(x) = F'(x) 0<x < 4 otherwise (f) Calculate E(X). (g) Calculate V(X) and o V(X)
Transcribed Image Text:Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. X < 0 x2 F(x) = 0 < x < 4 16 4 < x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X < 2). (b) Calculate P(1.5 < X < 2). (c) Calculate P(X > 2.5). (d) What is the median checkout duration u? [solve 0.5 = F(¤)]. (e) Obtain the density function f(x). f(x) = F'(x) 0<x < 4 otherwise (f) Calculate E(X). (g) Calculate V(X) and o V(X)
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