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(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
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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The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. I have correctly solved a) it is b) and c) that I am looking for assistance in solving.
f(x) =  0.025x + 0.4            3 ≤ x ≤ 5
0        otherwise
(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).

 

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