Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Graph A: A horizontal line goes from (1, 0.5) to (2, 0.5). Another horizontal line goes form (2, 0.2) to (7, (0, 2). Graph B: A curve starts at (0, 0), curves up to (1, 1), and then curves down to (2, 0).




Which graph represents a density curve, and why?


graph A only, because the curve is above the horizontal axis, and the area under the curve from 2 to 7 is 1


graph B only, because the curve is above the horizontal axis, and the area under the curve is equal to 1.57


both graph A and graph B, because both curves are above the horizontal axis, and both areas are positive


neither graph A nor graph B, because, even though both curves are above the horizontal axis, neither graph has an area of 1


Pictures posted below

Graph A A Horizontal Line Goes From 1 05 To 2 05 Another Horizontal Line Goes Form 2 02 To 7 0 2 Graph B A Curve Starts At 0 0 Curves Up To 1 1 And Then Curves class=
Graph A A Horizontal Line Goes From 1 05 To 2 05 Another Horizontal Line Goes Form 2 02 To 7 0 2 Graph B A Curve Starts At 0 0 Curves Up To 1 1 And Then Curves class=

Sagot :

Medunno13

Answer: neither graph A nor graph B, because, even though both curves are above the horizontal axis, neither graph has an area of 1

Step-by-step explanation:

Areas under the graphs:

Graph A

[tex](1)(0.5)+(7-2)(0.2)=1.5\\\\[/tex]

Graph B

[tex]\frac{\pi}{2}(1^{2})=\frac{\pi}{2}[/tex]

As neither of these graphs have an area of 1, neither of them are density curves.

varshamittal029

The statement - "neither graph A nor graph B, because, even though both curves are above the horizontal axis, neither graph has an area of 1" is true.

A few fundamental principles apply to density curves:

  • A density curve's area beneath it represents probability.
  • A density curve's area under it equals one.
  • Base x height in a uniform density curve equals one.
  • The likelihood that x = a will never occur.
  • The likelihood that x < a is the same as that of x ≤ a.

Neither curve of Graph A nor of Graph B has the area under the curve summed up as 1, though the curve is above the horizontal axis.

Hence, because neither graph has an area of 1, even if both curves are above the horizontal axis, the statement "neither graph A nor graph B, because, even though both curves are above the horizontal axis, neither graph has an area of 1" is true.

Learn more about density curves here-

brainly.com/question/28001152

#SPJ10

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.