Which of the following functions are allowable as a probability density function for some continuous random variable? 0 0 0 U A B C E F A: f₁(x) = C: f3(x) = √3x² −1≤x≤0 else 10 T2 x > 10 x≤ 10 E: f5(x) = = B: f2(x)= D: f₁(x) = -x² -1
Which of the following functions are allowable as a probability density function for some continuous random variable? 0 0 0 U A B C E F A: f₁(x) = C: f3(x) = √3x² −1≤x≤0 else 10 T2 x > 10 x≤ 10 E: f5(x) = = B: f2(x)= D: f₁(x) = -x² -1
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 following functions are allowable as a probability density function for some continuous
random variable?
0
A
B
D
E
F
A: f₁(x) =
C: f3(x) =
{8²
√3x² −1≤x≤0
else
10
I²
x > 10
x < 10
E: f5(x) =
1-
B: f₂(x) =
D: f4(x) =
x² −1 < x < 1
else
{50
[5(1-x²)4 0≤x≤ 1
else
(8x² - 6x +1) 0≤x≤1
else
F: Neither
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