area = dx xt, determine F(x). First, find the antiderivative of f. dx = tC=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. Property 2 of the definition of a probability density function over the given interval now verified? Choose the correct answer below.
area = dx xt, determine F(x). First, find the antiderivative of f. dx = tC=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. Property 2 of the definition of a probability density function over the given interval now verified? Choose the correct answer below.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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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.
![Verify Property 2 of the definition of a probability density function over the given interval.
fo) =. 10.31
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 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. a
O B. a
dx = [F(x)] = F(a) - F(b)
fx) dx = [F(x); = F(b) -F(a)
O C. b
O D. b
J(x) dx = [F(x)); = F(a) – F(b)
|fx) dx= [F(x); = F(b) -F(a)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f07fee2-88bf-4928-8bc1-7c0da6b2c9bb%2Fca544906-a1b6-4272-ae26-c6cbcc31441e%2Fyapofei_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Verify Property 2 of the definition of a probability density function over the given interval.
fo) =. 10.31
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 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. a
O B. a
dx = [F(x)] = F(a) - F(b)
fx) dx = [F(x); = F(b) -F(a)
O C. b
O D. b
J(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 =
dx
Next, 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f07fee2-88bf-4928-8bc1-7c0da6b2c9bb%2Fca544906-a1b6-4272-ae26-c6cbcc31441e%2Fl40t3xf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Substitute a, b, and f(x) into the left side of the formula from the previous step.
area =
dx
Next, 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.
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