1. Which of the following functions are cumulative distribution functions? (Hint: Sketch the graph of each function). (a) (b) (c) Fx (x) = Fy (y) = Fr(t) = 1 1, 0, y³, 1, 0, t 2' 1, x < 2, 2 < x < 3, x > 3. y < -1, -1≤ y ≤ 1, y ≥ 1. t < 1, 1 < t < 2, 2 ≤t.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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1. Which of the following functions are cumulative distribution functions? (Hint:
Sketch the graph of each function).
(a)
(b)
@
Fx (x) =
Fy (y):
Fr(t) =
2ª
5, x<2,
51
0,
y³,
1,
t
2:
1.
2 < x < 3,
x > 3.
y < -1,
-1≤y<1,
y ≥ 1.
t < 1,
1 ≤ t < 2,
2 ≤t.
Transcribed Image Text:1. Which of the following functions are cumulative distribution functions? (Hint: Sketch the graph of each function). (a) (b) @ Fx (x) = Fy (y): Fr(t) = 2ª 5, x<2, 51 0, y³, 1, t 2: 1. 2 < x < 3, x > 3. y < -1, -1≤y<1, y ≥ 1. t < 1, 1 ≤ t < 2, 2 ≤t.
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