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# A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.0 minutes.?

Update:

Find the probability that a given class period runs less than 50.75 minutes.?

Can someone please explain this?

### 3 Answers

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- az_lenderLv 71 year 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 71 year 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

= 0.475

= 47.5%

- nbsaleLv 61 year 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.

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