The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function.f(x)={0.07(0.075x + 0.23 ≤ x ≤ 50otherwise(a) Graph the pdf.f(x)0.60.50.40.30.20.1X2345f(x)0.60.50.4F0.30.20.1Verify that the total area under the density curve is indeed 1.50.075x + 0.2 dx =(b) Calculate P(X ≤ 4).(c)53= 1.9375 -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)Calculate P(3.5 ≤ X ≤ 4.5).Calculate P(4.5

Step 1: Graphing the pdf.f(x) = 0.075x + 0.2 in [3,5] and 0 everywhere else. f(3) = 0.075(3) + 0.2 =…

Answered: The current in a certain circuit as…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.4: Logarithmic Functions

Problem 45E

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