3. Let the random variable Y have the p.d.f. g(y) = cy , –1< y <1, zero elsewhere. (i) Determine the value of the constant c so that g(y) satisfies the properties of a p.d.f. (ii) Find the distribution function of Y. and P Y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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3. Let the random variable Y have the p.d.f. g(y) = cy², -1< y<1, zero elsewhere.
(i) Determine the value of the constant c so that g(y) satisfies the properties of a
p.d.f.
(ii) Find the distribution function of Y.
(iii)Find P(0<Y <1), P(0<Y <3),P| Y =-
and
Transcribed Image Text:3. Let the random variable Y have the p.d.f. g(y) = cy², -1< y<1, zero elsewhere. (i) Determine the value of the constant c so that g(y) satisfies the properties of a p.d.f. (ii) Find the distribution function of Y. (iii)Find P(0<Y <1), P(0<Y <3),P| Y =- and
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