A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 45.0 and 55.
0 minutes. A) Find the probability that a given class period runs between 51.5 and 51.75 minutes.
B) Find the probability of selecting a class that runs between 51.5 and 51.75 minutes.
(Round to three decimal places as needed.)
Given that the classes are uniformly distributed between 45.0 and 55.0 minutes, the propability distribution will be:
Now, we are looking for a probability P(51.5<x<51.75) which can be computed as:
Therefore:
P(51.5<x<51.75) = 0.025
or
P(51.5<x<51.75) = 2.5%
<em><u>I strongly believe that the answer for both questions have the same answer, I believe this because there is no additional info for a given class or selecting a class. I think both probabilities are the same.</u></em>