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5.5. The diameter of an electric cable, say X, is assumed to be a continuous random variable with p.d.f. : f(x) = 6x (1-x), 0≤x≤1. (i) Check that f(x) is p.d.f., and (ii) Determine a number b such that P (X b).

5.5. The diameter of an electric cable, say X, is assumed to be a continuous random variable with p.d.f. : f(x) = 6x (1-x), 0≤x≤1. (i) Check that f(x) is p.d.f., and (ii) Determine a number b such that P (X b).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 11E
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5.5. The diameter of an electric cable, say X, is assumed to be a continuous random variable with p.d.f. : f(x) = 6x (1-x), 0≤x≤1. (i) Check that f(x) is p.d.f., and (ii) Determine a number b such that P (X <b) = P(X> b).
Transcribed Image Text:5.5. The diameter of an electric cable, say X, is assumed to be a continuous random variable with p.d.f. : f(x) = 6x (1-x), 0≤x≤1. (i) Check that f(x) is p.d.f., and (ii) Determine a number b such that P (X <b) = P(X> b).
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