Astatistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.05 and 60.06 minutes. find the probability that a given class period runs greater thangreater than 51.5 minutes.

And then we can calculate the probability of interest using the complement rule:

Step-by-step explanation:

Let's assume that the random variable X ="Lengths of her classes", and we know that the distribution for X is given by:

The expected value is given by:

And the variance  given by:

The density function is given by:

And 0 for other case.

And on this case we want to find the following probability first we need to calculate , so we can calculate this with the following integral:

And after evaluate using the fundamental calculus theorem we got:

And then we can calculate the probability of interest using the complement rule:

step-by-step explanation: