Verify Property 2 of the definition of a probability density function over the given interval. 1 f(x) = 20X, [3,7 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 b. O C. The area under the graph of f over the interval [a,b] is a. 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 О В. а St) dx = Fw); = F(b) - F(a) = F(a) - F(b) a b. Oc. a f(x) dx = [F(x) = F(b) - F(a) O D. b f(x) dx = [F(x) = F(a) - F(b) Substitute a, b, and f(x) into the left side of the formula from the previous step. 1 area = 20 * dx
Verify Property 2 of the definition of a probability density function over the given interval. 1 f(x) = 20X, [3,7 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 b. O C. The area under the graph of f over the interval [a,b] is a. 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 О В. а St) dx = Fw); = F(b) - F(a) = F(a) - F(b) a b. Oc. a f(x) dx = [F(x) = F(b) - F(a) O D. b f(x) dx = [F(x) = F(a) - F(b) Substitute a, b, and f(x) into the left side of the formula from the previous step. 1 area = 20 * dx
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![Verify Property 2 of the definition of a probability density function over the given interval.
f(x) = -
20
(3,7]
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 b.
OC. The area under the graph of f over the interval [a,b] is a.
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
О В. а
Sx) dx = [F(x); = F(b) –- F(a)
J(x) dx = [F(x)!% = F(a) – F(b)
a
b.
OC. a
O D. b
f(x) dx = [F(x)] = F(b) – F(a)
(x) dx =
= F(a) - F(b)
Substitute a, b, and f(x) into the left side of the formula from the previous step.
1
area =
20x dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F631dbc6d-5610-453b-a9a4-1f2fc26381fa%2F69df138a-7eb3-4213-a85e-fc4c7a36223d%2Fz1coav_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Verify Property 2 of the definition of a probability density function over the given interval.
f(x) = -
20
(3,7]
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 b.
OC. The area under the graph of f over the interval [a,b] is a.
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
О В. а
Sx) dx = [F(x); = F(b) –- F(a)
J(x) dx = [F(x)!% = F(a) – F(b)
a
b.
OC. a
O D. b
f(x) dx = [F(x)] = F(b) – F(a)
(x) dx =
= F(a) - F(b)
Substitute a, b, and f(x) into the left side of the formula from the previous step.
1
area =
20x dx
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