Question

Which of the following is the probability that a given class period runs between 50.75 and 51.5 minutes if the lengths of the classes are uniformly distributed between 48 and 53 minutes?

A) 0.10
B) 0.25
C) 0.50
D) 0.75
E) 1.00

Answer 1

The probability that a given class period runs between 50.75 and 51.5 minutes is 0.15.

Step-by-step explanation:

To find the probability that a class period runs between 50.75 and 51.5 minutes, we need to calculate the proportion of the length of that interval compared to the total interval of class lengths. The total interval of class lengths is (53 - 48) = 5 minutes. The length of the given interval is (51.5 - 50.75) = 0.75 minutes.

Therefore, the probability is obtained by dividing the length of the given interval by the total interval length:

Probability = Length of Given Interval / Total Interval Length = 0.75 / 5 = 0.15

So, the correct answer choice is A) 0.10.