In Exercises 1-8, determine which are probability density functions and justify your answer. 1g*over [4, 8] 1. f(x) = 2. f(x) = ; (2 – x) over [0, 2] %3D In (1 + In 2) 3. f(x) = 2* over 0, In 2 4. f(x) = x – 1 over [0, 1 + V3] 5. f(x) = 0 x<1 6. f(x) = { T(4 + x²) 0. 7. f(x) = 2 cos 2x over | 0, 8. f(x) = over (0, e ]

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In Exercises 1-8, determine which are probability density functions
and justify your answer.
1g*over [4, 8]
1. f(x) =
2. f(x) = ; (2 – x) over [0, 2]
%3D
In (1 + In 2)
3. f(x) = 2* over 0,
In 2
4. f(x) = x – 1 over [0, 1 + V3]
5. f(x) =
0 x<1
6. f(x) = { T(4 + x²)
0.
7. f(x) = 2 cos 2x over | 0,
8. f(x) = over (0, e ]
Transcribed Image Text:In Exercises 1-8, determine which are probability density functions and justify your answer. 1g*over [4, 8] 1. f(x) = 2. f(x) = ; (2 – x) over [0, 2] %3D In (1 + In 2) 3. f(x) = 2* over 0, In 2 4. f(x) = x – 1 over [0, 1 + V3] 5. f(x) = 0 x<1 6. f(x) = { T(4 + x²) 0. 7. f(x) = 2 cos 2x over | 0, 8. f(x) = over (0, e ]
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