2) MCQ exam Simulate an MCQ exam correction system with the following configuration: - Feeding rate is about 15 papers/minute (exponential distribution) -Time to process a paper is of mean 5 seconds (exponential distribution) - 75% of the papers are processed without problems. -20% are flagged for confusion about the answer of some questions, which requires to be corrected manually and takes time depends on the number of confused problems. Number of confused problems is at most 10 (from 1 to 10) with the following probability distribution [0.3 0.21 0.2 0.1 0.05 0.04 0.04 0.03 0.02 0.01], and correction time for one problem is of mean time 1 minute (exponential distribution) - 5% are flagged for no ID written on the answer sheet, where they are checked manually for ID-where hand-written ID is provided (takes about 0.5 minute(exponential)) and returned to be processed again. Required: - Mean delay time of the papers with confusion. - Mean delay time of the whole system. [Assume any missing information and choose appropriate distributions if required]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
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2) MCQ exam
Simulate an MCQ exam correction system with the following configuration:
- Feeding rate is about 15 papers/minute (exponential distribution)
- Time to process a paper is of mean 5 seconds (exponential distribution)
- 75% of the papers are processed without problems.
-20% are flagged for confusion about the answer of some questions, which
requires to be corrected manually and takes time depends on the number of
confused problems.
Number of confused problems is at most 10 (from 1 to 10) with the following
probability distribution [0.3 0.21 0.2 0.1 0.05 0.04 0.04 0.03 0.02 0.01], and
correction time for one problem is of mean time 1 minute (exponential distribution)
- 5% are flagged for no ID written on the answer sheet, where they are checked
manually for ID-where hand-written ID is provided (takes about 0.5
minute(exponential)) and returned to be processed again.
Required:
- Mean delay time of the papers with confusion.
- Mean delay time of the whole system.
[Assume any missing information and choose appropriate distributions if
required]
Transcribed Image Text:2) MCQ exam Simulate an MCQ exam correction system with the following configuration: - Feeding rate is about 15 papers/minute (exponential distribution) - Time to process a paper is of mean 5 seconds (exponential distribution) - 75% of the papers are processed without problems. -20% are flagged for confusion about the answer of some questions, which requires to be corrected manually and takes time depends on the number of confused problems. Number of confused problems is at most 10 (from 1 to 10) with the following probability distribution [0.3 0.21 0.2 0.1 0.05 0.04 0.04 0.03 0.02 0.01], and correction time for one problem is of mean time 1 minute (exponential distribution) - 5% are flagged for no ID written on the answer sheet, where they are checked manually for ID-where hand-written ID is provided (takes about 0.5 minute(exponential)) and returned to be processed again. Required: - Mean delay time of the papers with confusion. - Mean delay time of the whole system. [Assume any missing information and choose appropriate distributions if required]
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