Let where X has c.d.f. Y = [X] mod 3 F(t) = ²/45 for 0 ≤ t ≤ √45. (a) Is the r.v. X discrete-type or continuous-type? (b) What is the support of X? (c) Is the r.v. Y discrete-type or continuous-type? (d) What is the support of Y? (a) Compute then m forn df of V whichever is appropriate

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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1. Let
where X has c.d.f.
Y = [X] mod 3
F(t) = ²/45 for 0 ≤ t ≤ √45.
(a) Is the r.v. X discrete-type or continuous-type?
(b) What is the support of X?
(c) Is the r.v. Y discrete-type or continuous-type?
(d) What is the support of Y?
(e) Compute the p.m.f. or p.d.f. of Y, whichever is appropriate.
Transcribed Image Text:1. Let where X has c.d.f. Y = [X] mod 3 F(t) = ²/45 for 0 ≤ t ≤ √45. (a) Is the r.v. X discrete-type or continuous-type? (b) What is the support of X? (c) Is the r.v. Y discrete-type or continuous-type? (d) What is the support of Y? (e) Compute the p.m.f. or p.d.f. of Y, whichever is appropriate.
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