CS723 Assignment 1 Solution and Discussion

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Assignment No. 01
Semester: Spring 2020
CS723: Probability and Stochastic Processes
Total Marks: 50

Due Date:
June 03, 2020
Please read the following instructions carefully before submitting assignment:
It should be clear that your assignment will not get any credit if:
 The assignment is submitted after due date.
 The submitted assignment does not open or file is corrupt.
 Solution is copied from any other source.
Objective
The objective of this assignment is to;
 Improve your understanding about Probabilities and its applications

Assignment Problem No.1
Let’s consider you are attempting a Quiz having 20 multiple choice questions (MCQs). Each MCQ have five (05) options (only one them is correct). Each MCQ carry one (01) marks and there is no negative marking. In order to pass the Quiz, you need to obtain at least seven(07) marks.
Scenario 1: You don’t have any previous knowledge/preparation for this quiz and just randomly guessing the correct option then…
Q 1: What is the probability of getting exactly 10 marks if you are randomly attempting the Quiz?
Q 2: What is the probability of getting FAILED if you are randomly attempting the Quiz?
Scenario 2: You have previous knowledge/preparation for this quiz and you can guess the correct option with probability of 0.7 then…
Q 1: What is the probability of getting exactly 15 marks?
Q 2: What is the probability of getting FAILED?

Assignment Problem No.2
Let’s consider there are 50 students in class and the teacher have asked each student to select a secret number between 1 and 1000 (inclusive). What is the probability that at-least two student will choose a same number?

Submission
You are required to submit your solution through LMS in MS Word format containing all the calculations you need to perform to find answers to given questions.