The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. 0.025x + 0.4 0 3 ≤ x ≤ 5 otherwise (a) Graph the pdf. f(x) 0.6 0.5 0.4 f(x) = 0.3 0.2 0.1 O f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 1 2 2 3 3 4 4 5 5 X f(x) 0.6 0.5 0.4 0.3 0.2 0.1 O Verify that the total area under the density curve is indeed 1. 1 2 3 4 5 f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 2 3 4 5

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Chapter1: Combinatorial Analysis
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1.
DETAILS DEVORESTAT9 4.1.001.
The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function.
0.025x + 0.4
0
0.4
(a) Graph the pdf.
f(x)
0.6
0.5
f(x) =
0.3
0.2
0.1
O
f(x)
-
0.6
0.5
0.4
0.3
0.2
0.1
1
2
3 ≤x≤5
otherwise
3
3
4
4
5
5
X
X
f(x)
0.6
0.5
0.4
0.3
0.2
0.1
Verify that the total area under the density curve is indeed 1.
1
2
3
4
5
X
f(x)
0.6
0.5
0.4
0.3
0.2
0.1
1
2
3
4
5
X
Transcribed Image Text:1. DETAILS DEVORESTAT9 4.1.001. The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. 0.025x + 0.4 0 0.4 (a) Graph the pdf. f(x) 0.6 0.5 f(x) = 0.3 0.2 0.1 O f(x) - 0.6 0.5 0.4 0.3 0.2 0.1 1 2 3 ≤x≤5 otherwise 3 3 4 4 5 5 X X f(x) 0.6 0.5 0.4 0.3 0.2 0.1 Verify that the total area under the density curve is indeed 1. 1 2 3 4 5 X f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 2 3 4 5 X
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