## lgbasallote Group Title 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 between 6 to 9 km/L one year ago one year ago

1. amistre64 Group Title

12-5 = 7 |dw:1350993412929:dw|

2. lgbasallote Group Title

ahh finally...someone who understands

3. amistre64 Group Title

iwould take a gander and say$\frac{1}{7}{(9-6)}$

4. lgbasallote Group Title

what's that 1/7 by the way?

5. lgbasallote Group Title

|dw:1350993820431:dw|

6. amistre64 Group Title

a distribution curve has an area of 1 underneath it. since this is a uniform distribution. the "curve" is just a rectangle box with an area of 1 since the width is 7 units wide; the height of the box would have to be 1/7 to get an area of 1

7. lgbasallote Group Title

hmm...that's an intuitive way of solving it....and here i thought i have to do $\huge \int \limits_a^b f(x)dx$

8. amistre64 Group Title

when it gets to normal distributions with a bell curve; they were nice enough to write down tables of for the integration :)

9. lgbasallote Group Title

^?

10. amistre64 Group Title

a z table is a table of probabilities; it is written up for the same reason that sin and cos tables are written up. So that we dont have to suffer thru the integration of some ungodly looking integral

11. lgbasallote Group Title

...you have succeeded in confusing and scaring me at the same time....

12. amistre64 Group Title

yay!! happy halloween :)

13. lgbasallote Group Title

it's already christmas from where i am

14. amistre64 Group Title

hmmm, happy hanakah? ;)

15. lgbasallote Group Title

anyway...this would just be $\int \limits_a^b \frac 1{b-a} dx$ yes?

16. lgbasallote Group Title

wait...that's wrong

17. lgbasallote Group Title

$\int \limits_a^x \frac 1{b-a}dx$ yes?

18. amistre64 Group Title

if you wanted to do the $\int f(x)dx$then a uniform distribution is a constant function $\int_{5}^{12}k~dx=1$ $12k-5k=1$ $7k=1$ $k=\frac17$ therefore $\int_{6}^{9}\frac17~dx$

19. lgbasallote Group Title

so...i am right...yes?

20. amistre64 Group Title

1/(b-a) does generalize it yes. but the interval [a,x] seems a little off. that should simply be the interval across which you are integrating and should prolly not be confused with the other parts