Is Property 2 of the definition of a probability density function over the given interval now verified? Choose the correct answer below. A.Property 2 of the definition of a probability density function over the given interval has not been verified because the expression in the previous step does not equal the expected area value. B.Property 2 of the definition of a probability density function over the given interval has been verified since the expression in the previous step equals 1. C.Property 2 of the definition of a probability density function over the given interval has been verified since the expression in the previous step equals a. D.Property 2 of the definition of a probability density function over the given interval has been verified since the expression in the previous step equals b. Verify Property 2 of the definition of a probability density function over the given interval.fo) =. 10.31What is Property 2 of the definition of a probability density function?O A. The area under the graph of f over the interval [a,b] is 1.O B. The area under the graph of f over the interval [a,b] is a.O C. The area under the graph of f over the interval ſa,b] is b.Identify the formula for calculating the area under the graph of the function y = f(x) over the interval [a,b). Choose the correct answer below.O A. aO B. adx = [F(x)] = F(a) - F(b)fx) dx = [F(x); = F(b) -F(a)O C. bO D. bJ(x) dx = [F(x)); = F(a) – F(b)|fx) dx= [F(x); = F(b) -F(a) Substitute a, b, and f(x) into the left side of the formula from the previous step.area =dxNext, determine F(x). First, find the antiderivative of f.dx =Let C = 0 in the expression obtained above and let the resulting expression be F(x). Evaluate the result over [0,3] using the far right side of the formula for the area.area =area =Simplify.Is Property 2 of the definition of a probability density function over the given interval now verified? Choose the correct answer below.

Answered: area = dx xt, determine F(x). First,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Is Property 2 of the definition of a probability density function over the given interval now verified? Choose the correct answer below.

Property 2 of the definition of a probability density function over the given interval has not been verified because the expression in the previous step does not equal the expected area value.

Property 2 of the definition of a probability density function over the given interval has been verified since the expression in the previous step equals 1.

Property 2 of the definition of a probability density function over the given interval has been verified since the expression in the previous step equals a.

Property 2 of the definition of a probability density function over the given interval has been verified since the expression in the previous step equals b.