Statistics Question

[JDawg1536]

Uniform Distribution: The reaction time X (in minutes) of a certain chemical process follows a uniform probability distribution with 5< (or equal to) X < (or equal to) 10. Draw the graph of the density curve.


Can anyone give me an example of what the graph would look like?

 

[Praxis1452]

http://en.wikipedia.org/wiki/U...tribution_(continuous)

 

[Leros]

I think this the sort of answer you're looking for.

http://pics.bbzzdd.com/users/leros/upd.jpg

Edit: Like the wikipedia article says. http://en.wikipedia.org/wiki/F...m_distribution_PDF.png

 

[GodlessAstronomer]

Text

 

[Leros]

Originally posted by: GodlessAstronomer
Text

My probability professor was a smoker and was also very crabby. This cannot be a coincidence.

 

[JDawg1536]

Originally posted by: Leros
I think this the sort of answer you're looking for.

http://pics.bbzzdd.com/users/leros/upd.jpg

Edit: Like the wikipedia article says. http://en.wikipedia.org/wiki/F...m_distribution_PDF.png

I think that's pretty much exactly what I'm looking for. Thank you very much!

 

[Leros]

Originally posted by: JDawg1536

Originally posted by: Leros
I think this the sort of answer you're looking for.

http://pics.bbzzdd.com/users/leros/upd.jpg

Edit: Like the wikipedia article says. http://en.wikipedia.org/wiki/F...m_distribution_PDF.png

I think that's pretty much exactly what I'm looking for. Thank you very much!

Do you understand why?

There is a uniform (i.e. equal) chance between 5 and 10. Thus to get a probability of 1 (since we know it occurs), the density must be 1/5 during that time. We know the density is constant since it is a uniform distribution.

 

[JDawg1536]

Originally posted by: Leros

Originally posted by: JDawg1536

Originally posted by: Leros
I think this the sort of answer you're looking for.

http://pics.bbzzdd.com/users/leros/upd.jpg

Edit: Like the wikipedia article says. http://en.wikipedia.org/wiki/F...m_distribution_PDF.png

I think that's pretty much exactly what I'm looking for. Thank you very much!

Do you understand why?

There is a uniform (i.e. equal) chance between 5 and 10. Thus to get a probability of 1 (since we know it occurs), the density must be 1/5 during that time. We know the density is constant since it is a uniform distribution.

Yeah I'm pretty sure I understand it. So the probability of the reaction occurring between 6 and 8 minutes can be found by multiplying the time of the reaction (8 minutes - 6 minutes = 2 minutes) by the overall density (1/5)? Probability would be 2/5 correct?

 

[Leros]

Originally posted by: JDawg1536

Originally posted by: Leros

Originally posted by: JDawg1536

Originally posted by: Leros
I think this the sort of answer you're looking for.

http://pics.bbzzdd.com/users/leros/upd.jpg

Edit: Like the wikipedia article says. http://en.wikipedia.org/wiki/F...m_distribution_PDF.png

I think that's pretty much exactly what I'm looking for. Thank you very much!

Do you understand why?

There is a uniform (i.e. equal) chance between 5 and 10. Thus to get a probability of 1 (since we know it occurs), the density must be 1/5 during that time. We know the density is constant since it is a uniform distribution.

Yeah I'm pretty sure I understand it. So the probability of the reaction occurring between 6 and 8 minutes can be found by multiplying the time of the reaction (8 minutes - 6 minutes = 2 minutes) by the overall density (1/5)? Probability would be 2/5 correct?

Correct

 

[JDawg1536]

Originally posted by: Leros

Originally posted by: JDawg1536

Originally posted by: Leros

Originally posted by: JDawg1536

Originally posted by: Leros
I think this the sort of answer you're looking for.

http://pics.bbzzdd.com/users/leros/upd.jpg

Edit: Like the wikipedia article says. http://en.wikipedia.org/wiki/F...m_distribution_PDF.png

I think that's pretty much exactly what I'm looking for. Thank you very much!

Do you understand why?

There is a uniform (i.e. equal) chance between 5 and 10. Thus to get a probability of 1 (since we know it occurs), the density must be 1/5 during that time. We know the density is constant since it is a uniform distribution.

Yeah I'm pretty sure I understand it. So the probability of the reaction occurring between 6 and 8 minutes can be found by multiplying the time of the reaction (8 minutes - 6 minutes = 2 minutes) by the overall density (1/5)? Probability would be 2/5 correct?

Correct

Thanks, Leros. Your little explanation was better than the entire page of BS the text book was trying to explain. I appreciate the help!

 

[Leros]

Originally posted by: JDawg1536

Originally posted by: Leros

Originally posted by: JDawg1536

Originally posted by: Leros

Originally posted by: JDawg1536

Originally posted by: Leros
I think this the sort of answer you're looking for.

http://pics.bbzzdd.com/users/leros/upd.jpg

Edit: Like the wikipedia article says. http://en.wikipedia.org/wiki/F...m_distribution_PDF.png

I think that's pretty much exactly what I'm looking for. Thank you very much!

Do you understand why?

There is a uniform (i.e. equal) chance between 5 and 10. Thus to get a probability of 1 (since we know it occurs), the density must be 1/5 during that time. We know the density is constant since it is a uniform distribution.

Yeah I'm pretty sure I understand it. So the probability of the reaction occurring between 6 and 8 minutes can be found by multiplying the time of the reaction (8 minutes - 6 minutes = 2 minutes) by the overall density (1/5)? Probability would be 2/5 correct?

Correct

Thanks, Leros. Your little explanation was better than the entire page of BS the text book was trying to explain. I appreciate the help!

No problem. Proper explanations are too complicated.