ST2131/MA2216
Semester II, 2016/2017
Tutorial 3
1. Let S = cfw_1, 2, . . . , n and suppose that A and B are, independently, equally likely to be any of the 2n
subsets (including the null set and S its
ST3232: Design and Analysis of Experiments
Chen Zehua
Department of Statistics & Applied Probability
4:00-6:00 pm, Tuesday, March 1, 2016
Chen Zehua
ST3232: Design and Analysis of Experiments
Lecture
ST3232: Design and Analysis of Experiments
Chen Zehua
Department of Statistics & Applied Probability
4:00-6:00 pm, Friday, March 18, 2016
Chen Zehua
ST3232: Design and Analysis of Experiments
Lecture
ST3232: Design and Analysis of Experiments
Chen Zehua
Department of Statistics & Applied Probability
4:00-6:00 pm, Friday, March 11, 2016
Chen Zehua
ST3232: Design and Analysis of Experiments
Lecture
ST3232: Design and Analysis of Experiments
Chen Zehua
Department of Statistics & Applied Probability
2:00-4:00 pm, Monday, April 8, 2013
Chen Zehua
ST3232: Design and Analysis of Experiments
Lecture 2
ST3232: Design and Analysis of Experiments
Chen Zehua
Department of Statistics & Applied Probability
4:00-6:00 pm, Friday, April 1, 2016
Chen Zehua
ST3232: Design and Analysis of Experiments
Lecture 1
ST2131/MA2216
Semester II, 2016/2017
Tutorial 3 Solution
1. Let S = cfw_1, 2, . . . , n and suppose that A and B are, independently, equally likely to be any of the 2n
subsets (including the null set
ST2131/MA2216
Semester II, 2016/2017
Tutorial 4 Solution
1. Suppose we have an urn containing b blue balls, g green balls and r red balls. We draw balls one at a
time, without replacement. Let Pk be t
ST2131/MA2216
Semester II, 2016/2017
Tutorial 2 Solution
1. (a) Two cards are randomly selected from an ordinary playing deck. What is the probability that
they form a blackjack? That is, what is the
ST2131/MA2216
Semester II, 2016/2017
Tutorial 1
1. Ten weight lifters are competing in a team weight-lifting contest. Of the lifters, 3 are from the United
States, 4 are from Russia, 2 are from China,
ST2131/MA2216
Semester II, 2016/2017
Tutorial 4
1. Suppose we have an urn containing b blue balls, g green balls and r red balls. We draw balls one at a
time, without replacement. Let Pk be the probab
ST3232: Design and Analysis of Experiments
Chen Zehua
Department of Statistics & Applied Probability
4:00-6:00 pm, Tuesday, March 8, 2016
Chen Zehua
ST3232: Design and Analysis of Experiments
Lecture
ST3232: Design and Analysis of Experiments
Chen Zehua
Department of Statistics & Applied Probability
4:00-6:00 pm, Friday, February 19, 2016
Chen Zehua
ST3232: Design and Analysis of Experiments
Lectu
ST2131/MA2216
Semester II, 2016/2017
Tutorial 3 Guided Questions
1. Suppose that an ordinary deck of 52 cards (which contains 4 aces) is randomly divided into 4 hands
of 13 cards each. We are interest
ST2131/MA2216
Semester II, 2016/2017
Tutorial 5 Solution
1. An urn initially contains one red and one blue ball. At each stage, a ball is randomly chosen and then
replaced along with another of the sa
ST2131/MA2216
Semester II, 2016/2017
Tutorial 3 Self Practice
1. Consider 3 urns. Urn A contains 2 white and 4 red balls; urn B contains 8 white and 4 red balls and
urn C contains 1 white and 3 red ba
ST2131/MA2216
Semester II, 2016/2017
Assignment Solution
Questions
1. Suppose that 10 fish are caught at a lake that contains 5 distinct types of fish.
(a) How many different outcomes are possible, wh
ST2131/MA2216
Semester II, 2016/2017
Assignment
Instructions
1. This assignment is due at 5pm on 17th Feb 2017. Solutions must be submitted to the mailbox on the
7th floor of S16, behind the DSAP offi
ST3232: Design and Analysis of Experiments
Chen Zehua
Department of Statistics & Applied Probability
4:00-6:00 pm, Tuesday, March 22, 2016
Chen Zehua
ST3232: Design and Analysis of Experiments
Lecture
ST3232: Design and Analysis of Experiments
Chen Zehua
Department of Statistics & Applied Probability
4:00-6:00 pm, Tuesday, March 15, 2016
Chen Zehua
ST3232: Design and Analysis of Experiments
Lecture
ST3232: Design and Analysis of Experiments
Chen Zehua
Department of Statistics & Applied Probability
4:00-6:00 pm, Tuesday, March 29, 2016
Chen Zehua
ST3232: Design and Analysis of Experiments
Lecture
ST3232: Design and Analysis of Experiments
Chen Zehua
Department of Statistics & Applied Probability
4:00-6:00 pm, Tuesday, April 12, 2016
Chen Zehua
ST3232: Design and Analysis of Experiments
Lecture
ST3232: Design and Analysis of Experiments
Chen Zehua
Department of Statistics & Applied Probability
4:00-6:00 pm, Tuesday, April 5, 2016
Chen Zehua
ST3232: Design and Analysis of Experiments
Lecture
ST2131/MA2216
Semester II, 2016/2017
Tutorial 1 Guided Questions
1. Consider n-digit numbers where each digit is one of the 10 integers 0, 1, . . . , 9. How many such numbers
are there for which
(i) n
ST2131/MA2216
Semester II, 2016/2017
Tutorial 4 & 5 Guided Questions (Chapter 4)
1. Let Pn denote the probability that n Bernoulli trials result in an even number of successes (0 being
considered an e
MA2216/ST2131 Probability Notes 11 Central Limit Theorem Before proceeding to the central limit theorem, we will first review the topics such as moment generating functions as well as conditional expe
MA2216/ST2131 Probability Notes 10 Properties of Expectation and Inequalities 1. Summary of Basic Properties. Let us first review some elementary properties of mathematical expectation, and then devel
MA2216/ST2131 Probability Notes 9 Review & Examples and Properties of Expectation 1. Linear Transformation. Let X1 , X2 , . . . , Xn be continuous random variables having joint density f and let rando
MA2216/ST2131 Probability Notes 8 Multidimensional Changes of Variables and Bivariate Normal Distribution 1. Changes of Variables Let X1 and X2 be jointly distributed random variables with joint proba
MA2216/ST2131 Probability Notes 7 Sums of Independent Random Variables Very often we are interested in the sum of independent random variables. When X and Y are independent, we would like to know the