> The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. F(x) - 0,075x+0.2 0 (a) Graph the pdf. f(x) 0.6 0.5 0.4 0.3. 0.2 O 0.1 f(x) 0.6 0.5 0.4 0.3 0.2 0.1 UN 0.2 O Svror your store 0.1 Verify that the total area under the density curve is indeed 1. 1 1 0.075x+ 0.2 dx = (b) Calculate P(X s 4). Submit Answer 2 35x55 otherwise 3 (c) Calculate P(3.5 ≤ x ≤ 4.5). Calculate P(4.5 < X). -1.9375- Verify that the total area under the density curve is indeed 1. How does this probability compare to P(X < 4)? OP(X ≤ 4) < P(X < 4) OP(X4) P(X < 4) ⒸP(X ≤ 4) > P(X < 4) 3 f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 f(x) O 0.6 0.5 0.4 0.3 0.2 0.1 Webdesign Plat

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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>
The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function.
F(x) -
0,075x+0.2
0
(a) Graph the pdf.
f(x)
0.6
0.5
0.4
0.3.
0.2
O
0.1
f(x)
0.6
0.5
0.4
0.3
0.2
0.1
UN
0.2
O
Svror your store
0.1
Verify that the total area under the density curve is indeed 1.
1
1
0.075x+ 0.2 dx =
(b) Calculate P(X s 4).
Submit Answer
2
35x55
otherwise
3
(c) Calculate P(3.5 ≤ x ≤ 4.5).
Calculate P(4.5 < X).
-1.9375-
Verify that the total area under the density curve is indeed 1.
How does this probability compare to P(X < 4)?
OP(X ≤ 4) < P(X < 4)
OP(X4) P(X < 4)
ⒸP(X ≤ 4) > P(X < 4)
3
f(x)
0.6
0.5
0.4
0.3
0.2
0.1
1
f(x)
O
0.6
0.5
0.4
0.3
0.2
0.1
Webdesign Plat
Transcribed Image Text:> The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. F(x) - 0,075x+0.2 0 (a) Graph the pdf. f(x) 0.6 0.5 0.4 0.3. 0.2 O 0.1 f(x) 0.6 0.5 0.4 0.3 0.2 0.1 UN 0.2 O Svror your store 0.1 Verify that the total area under the density curve is indeed 1. 1 1 0.075x+ 0.2 dx = (b) Calculate P(X s 4). Submit Answer 2 35x55 otherwise 3 (c) Calculate P(3.5 ≤ x ≤ 4.5). Calculate P(4.5 < X). -1.9375- Verify that the total area under the density curve is indeed 1. How does this probability compare to P(X < 4)? OP(X ≤ 4) < P(X < 4) OP(X4) P(X < 4) ⒸP(X ≤ 4) > P(X < 4) 3 f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 f(x) O 0.6 0.5 0.4 0.3 0.2 0.1 Webdesign Plat
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