Verify that the total area under the density curve is indeed 1. £³0.05 0.05x + 0.3 dx = (b) Calculate P(X ≤ 4). = 2.125 11 How does this probability compare to P(X < 4)? O P(X ≤ 4) > P(X < 4) P(X ≤ 4) < P(X < 4) O P(X ≤ 4) = P(X < 4) (c) Calculate P(3.5 ≤ x ≤ 4.5). 5 3 Calculate P(4.5 < X).
Verify that the total area under the density curve is indeed 1. £³0.05 0.05x + 0.3 dx = (b) Calculate P(X ≤ 4). = 2.125 11 How does this probability compare to P(X < 4)? O P(X ≤ 4) > P(X < 4) P(X ≤ 4) < P(X < 4) O P(X ≤ 4) = P(X < 4) (c) Calculate P(3.5 ≤ x ≤ 4.5). 5 3 Calculate P(4.5 < X).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Verify that the total area under the density curve is indeed 1.
5
[³
0.05x + 0.3 dx =
(b) Calculate P(X ≤ 4).
= 2.125
How does this probability compare to P(X < 4)?
O P(X ≤ 4) > P(X < 4)
P(X ≤ 4) < P(X < 4)
O P(X ≤ 4) = P(X < 4)
(c) Calculate P(3.5 ≤ x ≤ 4.5).
5
3
Calculate P(4.5 < X).
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.
P(x) = {0.05x +
0.05 +0.3 35NS5
otherwise
(a) Graph the pdf.
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