A professor gives a test to a large class. The time limit for the test is 50 minutes, and the first student to finish is done in 35 minutes. The professor assumes that the random variable T for the time it takes a student to finish the test is uniformly distributed over [35, 50]. At what time T will 60% of the students be finished with the test?

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

687.09 dollars       happy now

step-by-step explanation: 6870

1857 times .63 equals 1169.91 subtract that from 1857 you get 687.09