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 between 51.25 and 51.5 minutes.

0.025

Step-by-step explanation:

Given that a statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.0 minutes

Let X be the length of the class of  statistics professor

X is U(46,56)

We are to find the probability that a given class period runs between 51.25 and 51.5 minutes.

The pdf of X is =

Using this we can find probability using integration

=

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;

true

explanation: