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 2 years ago
Fuel mileage is uniformly distributed between 5 km/L to 12 km/L. What is the probability that on the next trip, fuel mileage is 7.5 km/L?
 2 years ago
Fuel mileage is uniformly distributed between 5 km/L to 12 km/L. What is the probability that on the next trip, fuel mileage is 7.5 km/L?

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hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0the probability distribution function is 1/(125) as seen from earlier question so for any mileage between 5 and 12, the probability will be 1/(125)

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0uniform probability distribution eh,

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0and i suppose that , measurements are in 0.l L, or are they in 0.5 L units?

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0well if the millage was 7.45 does that get counted as 7.5 ?

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2Very bad question. Two things wrong with it. 1) The probability of anything on the "next" trip is quite dependent on the nature of the next trip. Will you be going east or west in Eastern Wyoming? It makes a very big difference! The expected value of gas mileage on a randomly selected trip would be a better question. 2) More importantly, it's a continuous distribution. The probability of a single value is ZERO (0).

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0@tkhunny i don't believe in bad questions....

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0but you post so many bad questions lgba

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2If it's a legitimate question p(7.5) = 0 for any CONTINUOUS distribution.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0@UnkleRhaukus no question is bad to those who see clearly

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0but you havent provided enough information to answer this question, once again

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0that's what you think

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0there are actually enough information

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0so much so that tkhunny is right

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0what are the increments in milage ?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0you look for too much information

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2hartnn was close. This distribution can be modelled as a rectangle. It's width is 7, the distance from 5 to 12. Thus, it's height must be 1/7. The probability that mileage will be between 5 and 6 can be read from the rectangle. It's a smaller rectangle of length 1 (65) and height 1/7. The probability that mileage will be greater than 8 can be read from the rectangle. It's a smaller rectangle of length 4 (128) and height 1/7. Do you see how this works?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0hmm i don't see how that turns out to be 0 though

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0in real situation milage is a measured quantity, and it will come in incremental values

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2You didn't answer my question. Do you see how those two probabilities are calculated?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0would it be because of the integral?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0i did answer your question

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2You can talk integrals if you want, but a Uniform Distribution is easier. Geometry is sufficient. Given a single value, the width of the rectangle is zero (0). The height is still 1/7. The integral shoudl make it clear, though: \[\int\limits_{7.5}^{7.5} \frac{1}{7} dx = ?? \] Don't evaluate this integral. It is an eyeball problem. With the limits identical, it is zero (0).

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0geometry is boring though...

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0by the way...i thought \[\int \limits_a^a f(x)dx\] is 0 only when f(x) is even?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0or was it for odd...

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2No. That makes no sense. Get that our of your head. It is zero. You are thinking of [a,a] for odd functions. This is [a,a]. It's zero if it exsits at all.

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0if milage is measured in 0.5 Km/L increments then there are 14 possible out comes, and the probability of milage being 7.5 Km/L will be 1/14, if milage is measured in 0.1 Km/L then there are 70 possible out comes, and the probability of milage being 7.5 Km/L will be 1/70, as the increments \(\Delta x\) , get smaller and smaller , they approach \(\text dx\)

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2Time to stop sucking! More focus. Seems to me, after this brief exposure, that you are a little random about it. Just organize your thinking a little better.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0@UnkleRhaukus there are no increments

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2If mileage is measured in 0.5 Km/L increments, you have written your own problem statement and not answered the question that is asked. I will grant, however, that this may have been additional information shared in class.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0class? there's no class...

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2That does make it harder to discuss things in class, then, doesn't it?!

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0not class as in etiquette...

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac1n\sum{\Delta x} \longrightarrow\frac 1n\int\text dx\]

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0...no increments.....

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0then you get zero, BUT you really should has specified that the increments are infinitesimals in the question if you wanted people to know what you ment

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0yes . bad question

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0you just overcomplicate things

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0you assume data...bad answer

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0math maps reality , reality is complicated,

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0that's your opinion

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0then answer to your Hypothetical question is Useless , they answer to my variation on your question is not useless

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2You converted me, @UncleRhaukus. On an exam, I would answer this qeustion two ways. 1) Point out the obvious "definition" question that results int eh value zero (0), and 2) Quantize the distribution in some way, as you have done, clearly document me assumptions, and provide some sort of nonzero response. Of course, not everyone can do that on every question. If it was multipchoice and zero (0) wasn't on there, I would cry foul!
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