(3) Find the density of Y = X² when X ~ Binomial(4, ). The following answers are proposed: (a) P(Y = k) = (;)/2*, k= 0,1, 2, 3, 4. (b) P(Y = k) = (() /2* )", k = 0,1,2, 3, 4. %3D (c) P(Y = /K) = () k = 0, 1, 2, 3, 4. (d) P(Y = k²) = (8) k = 0, 1, 2, 3, 4. 24 (e) None of the above

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(3) Find the density of Y = X² when X ~ Binomial(4, ).
The following answers are proposed:
(a) P(Y = k) = ()/2*, k = 0,1, 2, 3, 4.
(b) P(Y = k) = (()/2* )", k= 0,1,2,3, 4.
(9)
%3D
%3D
%3D
(c) P(Y = /F) =
k = 0,1, 2, 3, 4.
24
(8)
(d) P(Y = k²) =
k = 0, 1, 2, 3, 4.
24
(e) None of the above
Transcribed Image Text:(3) Find the density of Y = X² when X ~ Binomial(4, ). The following answers are proposed: (a) P(Y = k) = ()/2*, k = 0,1, 2, 3, 4. (b) P(Y = k) = (()/2* )", k= 0,1,2,3, 4. (9) %3D %3D %3D (c) P(Y = /F) = k = 0,1, 2, 3, 4. 24 (8) (d) P(Y = k²) = k = 0, 1, 2, 3, 4. 24 (e) None of the above
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