207.2250 Winter 2008
Exercises

Number Exercises Solution Comments
1 Exercise #1 Solution #1 

Students must answer all questions published unanswered in Exercise 1, except for:
1) Question 10 Gimmel (concerning the exponential distribution).

2) Questions 12, 13 and 14 (concerning induction).

Questions from the Hitpalguyot course can be found in the following sites:
http://stat.haifa.ac.il/~yuval/courses/archive/dist_theory_2006-7A
http://stat.haifa.ac.il/~yuval/courses/archive/dist_theory_2006-7B

2 Exercise #2 Solution #2

1) The homework which was due to be handed on 29/10, can be handed next week.
2) Students must hand in the following homework at the beginning of next week's Tirgul:

From exercise number 1: questions 10, 12, 14.
From exercise number 2:

      i.    Chapter alef-1: questions 1, 3.
     
ii.   Chapter alef-3: questions 2, 5 and also read the answer to question 1.
      iii. Chapter alef-4: questions 2, 3. (Notice that question 2 is from a test from last year.) 

 
3 Exercise #3 Solution #3

Students must hand in the following homework at the beginning of next week's tirgul: Exercise number 3, Chapter alef-5 and alef-6, Questions 5, 6, 7 bet, 9 and 14, 15.

(Notice that question 15 is from the "Lecture Booklet".)

The following questions are bonus questions (meaning students do not have to hand them in):
Question 16.

 
4 Exercise #4 Solution #4

Additional Solution: Q14,Q15

Students must redo at home all exercises done during the Tirgul involving Markov Chains.

Questions from Tirgul 4 (Chapters bet-1, bet-2 and bet-3) to be handed in next week are: 1, 8, 9, 10 (alef 1, 2, 4, 5), 13, 17, 18, 28, 29, 30

Bonus Question: 32.

5 Exercise #5 Solution #5

The Homework is all of the exercises that were not solved in class.
Note: There is no update (non planed either) for Exercise #5.

6 Exercise #6 Solution #6

From exercise 6 students must answer all question which were not answered in the tirgul.
From exercise 4 students must answer questions 7, 14 and 15.

7 Exercise #7 Solution #7

This week's homework:
1)     
All the questions in the "Exercise #7" file.
2)      Question 13 from the "Exercise #3" file (Concerning the cars. Ask yourself: How is this question related to the Poisson Process?).
3)     
From the Exercise Booklet (From previous years):
   a)     
Page 20 exercises 8, 9, 11.
   b)     
Page 21 exercise 13 and all parts of exercise 12, which were not answered during the Tirgul.

 
Additional Files (for Poisson Processes and Markov Jump Processes):

 

8 There is no file for exercise #8 Solution #8 (part 1)

Solution #8 (part 2)

From the Exercise Booklet (From previous years): 18, 19, 22, 23, 24, 28. and also what was not answered in the tirgul from: 21

9 There is no file for exercise #9 Solution #9

From the Exercise Booklet (From previous years):  Question 5 a,b.

10 Exercise #10 Solution #10

HW: All of the questions from the Exercise #10 file.

11 Exercise #11 Solution #11

The HW is all of the questions (and sub-questions) that were not solved in class.
IT IS TO BE HANDED IN BY 21/01.