Answer:
37.5 minutes
Step-by-step explanation:
Let the amount of time it takes a student to complete a statistics quiz be = t
t is uniformly distributed between 30 minutes and 60 minutes
The professor wants to reward with bonus marks, students who are in the lowest quarter of t
- What value of t should he use as the cutoff for awarding bonus marks?
A quarter of any number is 1/4 of it.
Now, the range of t (the difference between the highest and lowest values of t) is 60 - 30 = 30
1/4 of 30 = 7.5
The lowest quarter of t is hence between 30 and 37.5
So the cutoff for awarding bonus marks is t = 37.5minutes
INTERPRETATION:
Any student who spends 37.5 minutes or below on a statistics quiz, will be awarded bonus marks.
