1 2 3 0.05x+0.3 dx = = 2.125 Verify that the total area under the density curve is indeed 1. Lo 11 5 4 3 5 X

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Chapter1: Combinatorial Analysis
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21 PLEASE ANSWER B, C

0.1
1 2 3
0.05x+0.3 dx =
(b) Calculate P(X ≤ 4).
Verify that the total area under the density curve is indeed 1.
fo
= 2.125-
4
5
3
Calculate P(4.5< X).
How does this probability compare to P(X < 4)?
OP(X ≤ 4) > P(X < 4)
OP(X ≤ 4) = P(X<4)
OP(X ≤ 4) < P(X < 4)
(c) Calculate P(3.5 ≤ x ≤ 4.5).
5
X
Transcribed Image Text:0.1 1 2 3 0.05x+0.3 dx = (b) Calculate P(X ≤ 4). Verify that the total area under the density curve is indeed 1. fo = 2.125- 4 5 3 Calculate P(4.5< X). How does this probability compare to P(X < 4)? OP(X ≤ 4) > P(X < 4) OP(X ≤ 4) = P(X<4) OP(X ≤ 4) < P(X < 4) (c) Calculate P(3.5 ≤ x ≤ 4.5). 5 X
The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function.
0.6
0.3
0.4
(a) Graph the pdf
foxo
0.2
f(x) -
01
0.05x+0.3
foo
0.6
0.5
04
0.3
02
01
1
1
Verify that the total
2
otherwise
5
N
f(x)
0.6
0.5
0.4
0.3
0.2
0.1
2
3
4
S
f(x)
0.6
0.3
0.4
0.3
0.1
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. 0.6 0.3 0.4 (a) Graph the pdf foxo 0.2 f(x) - 01 0.05x+0.3 foo 0.6 0.5 04 0.3 02 01 1 1 Verify that the total 2 otherwise 5 N f(x) 0.6 0.5 0.4 0.3 0.2 0.1 2 3 4 S f(x) 0.6 0.3 0.4 0.3 0.1
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