Answer: at 44 minutes, 60% of the students will be finished with the test
Step-by-step explanation:
Given the data in the question;
we have a uniform distribution between 35 and 50
so
50 - 35 = 15
now, we simply multiply 15 by 60%; 15 × 0.6 = 9
so after 9 minutes, 60% percent of the students are done
Hence, 9min + 35 min = 44 minutes
Therefore at 44 minutes, 60% of the students will be finished with the test
The time T when 60% of the students will be finished with the test is 44 minutes.
The percentage is the value per hundred.
The time limit for the test = 50minute
The first student finishes in 35 minutes
The last student finishes in 50 minutes
So the difference between time = 15 minutes
It is given that the time it takes a student to finish the test is uniformly distributed over [35, 50].
So, the time T when 60% of the students will be finished with the test
T=35 + 60% of 15 minutes
T= 35 + 60*15/100
T= 44 minutes
Therefore, the time T when 60% of the students will be finished with the test is 44 minutes.
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