Exercise 3. Suppose S is the sample space formed by rolling 3 fair, 6-sided dice and recordin the numbers seen: (81, 82, 83). Give the spaces (i.e. domains) of the following random variables: (a) X = S1 + S2 + S3 (b) X = max(81, 82, 83) — min(81, 82, 83) (c) X = max(s1, 82, 83) × min(81, 82, 83)
Exercise 3. Suppose S is the sample space formed by rolling 3 fair, 6-sided dice and recordin the numbers seen: (81, 82, 83). Give the spaces (i.e. domains) of the following random variables: (a) X = S1 + S2 + S3 (b) X = max(81, 82, 83) — min(81, 82, 83) (c) X = max(s1, 82, 83) × min(81, 82, 83)
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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Transcribed Image Text:Exercise 3. Suppose S is the sample space formed by rolling 3 fair, 6-sided dice and recording
the numbers seen: (81, 82, 83). Give the spaces (i.e. domains) of the following random variables:
(a) X = S₁ + S2 + S3
(b) X
max(81, 82, 83) – min(81, 82, 83)
(c) X = max(s₁, 82, 83) × min(81, 82, 83)
(d) Run at least 30 trials, using real dice, google dice or a computer code (if you have experience
of computer coding), to estimate the relative frequencies (and therefore the pmf) of the r.v. from
part (b).
=
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