(a) Graph the pdf. Verify that the total area under the density curve is indeed 1. 0.025x + 0.4 d (b) Calculate P(X ≤ 4). How does this probability compare to P(X < 4)? P(X ≤ 4) < P(X < 4) P(X ≤ 4) = P(X < 4) P(X ≤ 4) > P(X < 4) c) Calculate P(3.5 ≤ X ≤ 4.5). And P(4.5 < X).
(a) Graph the pdf. Verify that the total area under the density curve is indeed 1. 0.025x + 0.4 d (b) Calculate P(X ≤ 4). How does this probability compare to P(X < 4)? P(X ≤ 4) < P(X < 4) P(X ≤ 4) = P(X < 4) P(X ≤ 4) > P(X < 4) c) Calculate P(3.5 ≤ X ≤ 4.5). And 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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Question
The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density
f(x) = 0.025x + 0.4 3 ≤ x ≤ 5
0 otherwise
(a) Graph the
(b) Calculate P(X ≤ 4).
How does this probability compare to
P(X < 4)?
P(X ≤ 4) < P(X < 4)
P(X ≤ 4) = P(X < 4)
P(X ≤ 4) > P(X < 4)
c) Calculate
P(3.5 ≤ X ≤ 4.5).
And
P(4.5 < X).
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