Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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?

Sagot :

nuhulawal20

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

ashishdwivedilVT

The time T when 60% of the students will be finished with the test is 44 minutes.

What is the percentage?

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.

To get more about the percentage visit:

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.