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This Question: 1 pt 11 of 44 (0 complete) â¼ This Quiz: 44 pts possible Verify Property 2 of the definition of a probability density function over the given interval. f(x)-2Äx2. [-2.4] What is Property 2 of the definition of a probability density function? OA. The area under the graph of f over the interval [a,b] is b. O B. The area under the graph of f over the interval [a,b] is 1. 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 fix) over the interval [a,b]. Choose the corect answer below. OA. b OB. f(x) dx-F(X) F(a) _ F(b) OD. f(x) dx[F(x) Fb)-F(a) f(x) dx IFx F(a)-F(b) Substitute a, b, and fx) into the left side of the formula from the previous step 24 Next, determine F(x). First, find the antiderivative of f. Ax/ dx=D (Use C as the arbitrary constant.) Let C-Î in the expression obtained above and let the resulting expression be F(x) Evaluate the result over -24 using the far right side of the formula for the area. area = Simplify Is Property 2 of the definition of a probability density function over the given interval now verified? Choose the corect answer below Show transcribed image text
This Question: 1 pt 11 of 44 (0 complete) â¼ This Quiz: 44 pts possible Verify Property 2 of the definition of a probability density function over the given interval. f(x)-2Äx2. [-2.4] What is Property 2 of the definition of a probability density function? OA. The area under the graph of f over the interval [a,b] is b. O B. The area under the graph of f over the interval [a,b] is 1. 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 fix) over the interval [a,b]. Choose the corect answer below. OA. b OB. f(x) dx-F(X) F(a) _ F(b) OD. f(x) dx[F(x) Fb)-F(a) f(x) dx IFx F(a)-F(b)
Substitute a, b, and fx) into the left side of the formula from the previous step 24 Next, determine F(x). First, find the antiderivative of f. Ax/ dx=D (Use C as the arbitrary constant.) Let C-Î in the expression obtained above and let the resulting expression be F(x) Evaluate the result over -24 using the far right side of the formula for the area. area = Simplify Is Property 2 of the definition of a probability density function over the given interval now verified? Choose the corect answer below
Show transcribed image text Lelia LubowitzLv2
14 Jan 2019