A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.0 minutes.?
Find the probability that a given class period runs less than 50.75 minutes.?
Can someone please explain this?
- az_lenderLv 75 months ago
This is actually impossible, unless she teaches an infinite number of classes !
But never mind. The answer they want is
(50.75 - 46)/(56 - 46) = 47.5%
- PuzzlingLv 75 months ago
The total range is 10 minutes.
You are looking for any time that is within 4.75 minutes of the shortest time.
Since it's uniform, that's simply:
4.75 / 10
- nbsaleLv 65 months ago
Think of the uniform distribution (same probability at each point) as a rectangle over the interval (46, 56).
What proportion of that area would be over the interval (46, 50.75)?
It's a simple proportion problem. With that hint, can you do it now? The solutions is just a bit of arithmetic, so don't over think it.