1. Consider the three distribution functions below for random variables X, Y, and T respectively. Fx (x) Fy (y): Fr(t) = = = 3 0, 0, 0, 9' Accolt 1, 3 1, 1, 2 4 -1% + 1/2, x < 1, 1 < x < 3, x ≥ 3. y< -1, -1 ≤ y ≤ 2, 2 ≤ y ≤ 4, y> 4. t < 1, 1 < t < 2, 2 < t <3, 3 < t < 4, t> 4.
1. Consider the three distribution functions below for random variables X, Y, and T respectively. Fx (x) Fy (y): Fr(t) = = = 3 0, 0, 0, 9' Accolt 1, 3 1, 1, 2 4 -1% + 1/2, x < 1, 1 < x < 3, x ≥ 3. y< -1, -1 ≤ y ≤ 2, 2 ≤ y ≤ 4, y> 4. t < 1, 1 < t < 2, 2 < t <3, 3 < t < 4, t> 4.
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:Which of the random variables X, Y and T has a density function?
Only random variable T has a density function.
Only random variable X has a density function.
O Only random variables X and T have density functions.
None of these random variables have density functions.
O All of these random variables have density functions.
Transcribed Image Text:1. Consider the three distribution functions below for random variables X,
Y, and T respectively.
Fx (x)
Fy (y)
Fr(t)
=
=
=
3
0,
0,
0,
91
1831
1,
2
1,
1,
4
-1%
+ 1/2,
x < 1,
1 < x < 3,
x ≥ 3.
y< -1,
-1 ≤ y < 2,
2 ≤ y ≤ 4,
y > 4.
t < 1,
1 < t < 2,
2 < t < 3,
3 < t < 4,
t> 4.
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