(10) Find the constant c > 0 so that the given function is a density of some continuous random variable X. ki) f(x) = cx, on [0, 1], kiii f(x) = ce-3x, on [0, ∞), v f(x) = clx,c on [1, 00), %3D
(10) Find the constant c > 0 so that the given function is a density of some continuous random variable X. ki) f(x) = cx, on [0, 1], kiii f(x) = ce-3x, on [0, ∞), v f(x) = clx,c on [1, 00), %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![(10) Find the constant C > 0 so that the given function is a density of some continuous random variable X.
(i) f (x) = cx, on [0, 1],
(ii) f(x) = ce-3x, on [0, ∞),
(v) f(x) = c/x³, on [1, 0),
(vii) f(x) = cxe¬x² , on [0, c∞),
(ix) f(x) = c sin x, on (0, t),
1
2
3
N/A
(Select One for (i))
-1
2
N/A
(Select One for (iii)
1
2
4
5
N/A
(Select One for (v)
-1
1
-2
2
N/A
(Select One for (vii))
2
1/2
T/2
N/A
(Select One for (ix))
-/3 O
3.
-IN O
3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6214fda8-f992-4e88-b320-5195339361f5%2Ffe564bb5-27d4-4986-828c-2afb11c25f0f%2Fug16p89_processed.png&w=3840&q=75)
Transcribed Image Text:(10) Find the constant C > 0 so that the given function is a density of some continuous random variable X.
(i) f (x) = cx, on [0, 1],
(ii) f(x) = ce-3x, on [0, ∞),
(v) f(x) = c/x³, on [1, 0),
(vii) f(x) = cxe¬x² , on [0, c∞),
(ix) f(x) = c sin x, on (0, t),
1
2
3
N/A
(Select One for (i))
-1
2
N/A
(Select One for (iii)
1
2
4
5
N/A
(Select One for (v)
-1
1
-2
2
N/A
(Select One for (vii))
2
1/2
T/2
N/A
(Select One for (ix))
-/3 O
3.
-IN O
3.
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