WebAssign ← → X COB 0.1 X 1 0.025x+ 0.4 dx= 2 (b) Calculate P(X ≤ 4). 3 Verify that the total area under the density curve is indeed 1. fo = 2.3125 4 5 How does this probability compare to P(X < 4)? OP(X ≤ 4) > P(X < 4) OP(X ≤ 4) = P(X < 4) OP(XS 4) < P(X < 4)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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WebAssign
← × ~
2.
Ⓡ
0.1
O
X
+
1
0.025x + 0.4 dx =
(b) Calculate P(X ≤ 4).
2
Verify that the total area under the density curve is indeed 1.
[5⁰.
1₁
Calculate P(4.5 < X).
3
= 2.3125 -
4
How does this probability compare to P(X < 4)?
OP(X ≤4) > P(X < 4)
O P(X ≤ 4) = P(X < 4)
O P(X ≤ 4) < P(X < 4)
(c) Calculate P(3.5 ≤ x ≤ 4.5).
DETAILS DEVORESTAT9 4.1.002.MI
5
ASK YOUR TEACHER
Transcribed Image Text:WebAssign ← × ~ 2. Ⓡ 0.1 O X + 1 0.025x + 0.4 dx = (b) Calculate P(X ≤ 4). 2 Verify that the total area under the density curve is indeed 1. [5⁰. 1₁ Calculate P(4.5 < X). 3 = 2.3125 - 4 How does this probability compare to P(X < 4)? OP(X ≤4) > P(X < 4) O P(X ≤ 4) = P(X < 4) O P(X ≤ 4) < P(X < 4) (c) Calculate P(3.5 ≤ x ≤ 4.5). DETAILS DEVORESTAT9 4.1.002.MI 5 ASK YOUR TEACHER
WebAssign
←4X0
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
(a) Graph the pdf.
f(x)
O
0.6
O
0.5
0.4
0.3
0.2
0.1
f(x) =
f(x)
0.6
0.5
0.4
0.3
0.2
0.1
1
1
2
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
O
1
2
3
4
5
f(x)
0.6
0.5
0.4
0.3
0.2
0.1
1
2
3
ASK YOUR TEACHER
4
5
X
X
Transcribed Image Text:WebAssign ←4X0 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 (a) Graph the pdf. f(x) O 0.6 O 0.5 0.4 0.3 0.2 0.1 f(x) = f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 1 2 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 O 1 2 3 4 5 f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 2 3 ASK YOUR TEACHER 4 5 X X
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