The duration of a professor's class has continuous uniform distribution between 49.2 minutes and 55.5 minutes. If one class is randomly selected and the probability that the duration of the class is longer than a certain number of minutes is 0.468, then find the duration of the randomly selected class, i. e., if P ( x > c )

The duration of the randomly selected class is 52.6 minutes.

Step-by-step explanation:

The random variable X is defined as the duration of a professor's class.

It is provided that, .

The pdf of X is:

It is provided that the probability that the duration of the class is longer than c number of minutes is 0.468.

That is, P (X > c) = 0.468.

Compute the value of c as follows:

Thus, the duration of the randomly selected class is 52.6 minutes.

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

-3.5 degrees per hour

step-by-step explanation:

find the unit rate:

-12   1/4 degrees           12.25 degrees

= - = -3.5 degrees per hour

      3   1/2 hours               3.5 hours