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
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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60abd4de-ba2d-4a53-b8fc-e1d2e0799cec%2F29cfed65-01a7-4f3b-9e01-c1b6adfd5c07%2Fibfc66sh_processed.jpeg&w=3840&q=75)
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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