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Substitute a, b, and f(x) into the left side of the formula from the previous step. area = 7 dx Next, determine F(x). First, find the antiderivative of f. f7 dx = Let C = 0 in the expression obtained above and let the resulting expression be F(x). Evaluate the result over 0, using the far right side of the formula for the area. area = Simplify. %3D Is Property 2 of the definition of a probability density fur over the given interval now verified? Choose the correct answer below. O 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. O 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 b. O 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. O 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 1. Verify Property 2 of the definition of a probability density function over the given interval. f(x) = 7, 0, ... What 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 b. 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 [a,b] is 1. 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. b В. Ь |f(x) dx = [F(x) = F(b) - F(a) f(x) dx= [F(x)l% = F(a) – F(b) a a Ос. а O D. a |f(x) dx = [F(x)1; = F(a) - F(b) |f(x) dx = [F(x)1 = F(b) – F(a)

Substitute a, b, and f(x) into the left side of the formula from the previous step. area = 7 dx Next, determine F(x). First, find the antiderivative of f. f7 dx = Let C = 0 in the expression obtained above and let the resulting expression be F(x). Evaluate the result over 0, using the far right side of the formula for the area. area = Simplify. %3D Is Property 2 of the definition of a probability density fur over the given interval now verified? Choose the correct answer below. O 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. O 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 b. O 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. O 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 1. Verify Property 2 of the definition of a probability density function over the given interval. f(x) = 7, 0, ... What 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 b. 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 [a,b] is 1. 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. b В. Ь |f(x) dx = [F(x) = F(b) - F(a) f(x) dx= [F(x)l% = F(a) – F(b) a a Ос. а O D. a |f(x) dx = [F(x)1; = F(a) - F(b) |f(x) dx = [F(x)1 = F(b) – F(a)

Advanced Engineering Mathematics
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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Substitute a, b, and f(x) into the left side of the formula from the previous step. area = 7 dx Next, determine F(x). First, find the antiderivative of f. f7 dx = Let C = 0 in the expression obtained above and let the resulting expression be F(x). Evaluate the result over 0, using the far right side of the formula for the area. area = Simplify. %3D Is Property 2 of the definition of a probability density fur over the given interval now verified? Choose the correct answer below. O 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. O 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 b. O 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. O 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 1.
Transcribed Image Text:Substitute a, b, and f(x) into the left side of the formula from the previous step. area = 7 dx Next, determine F(x). First, find the antiderivative of f. f7 dx = Let C = 0 in the expression obtained above and let the resulting expression be F(x). Evaluate the result over 0, using the far right side of the formula for the area. area = Simplify. %3D Is Property 2 of the definition of a probability density fur over the given interval now verified? Choose the correct answer below. O 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. O 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 b. O 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. O 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 1.
Verify Property 2 of the definition of a probability density function over the given interval. f(x) = 7, 0, ... What 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 b. 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 [a,b] is 1. 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. b В. Ь |f(x) dx = [F(x) = F(b) - F(a) f(x) dx= [F(x)l% = F(a) – F(b) a a Ос. а O D. a |f(x) dx = [F(x)1; = F(a) - F(b) |f(x) dx = [F(x)1 = F(b) – F(a)
Transcribed Image Text:Verify Property 2 of the definition of a probability density function over the given interval. f(x) = 7, 0, ... What 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 b. 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 [a,b] is 1. 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. b В. Ь |f(x) dx = [F(x) = F(b) - F(a) f(x) dx= [F(x)l% = F(a) – F(b) a a Ос. а O D. a |f(x) dx = [F(x)1; = F(a) - F(b) |f(x) dx = [F(x)1 = F(b) – F(a)
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