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.