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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 9E
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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.
and
(i) Check that f(x) is p.d.f.,
(ii) Determine a number b such that P (X < b) = P (X> b).
Solutie
Transcribed Image Text: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. and (i) Check that f(x) is p.d.f., (ii) Determine a number b such that P (X < b) = P (X> b). Solutie
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