Boazii University
Fall 2013
EC 233
Mathematical
Statistics 1
Instructor: Gzin Glsn Akn
Office: NB 203
Office hours: FF 23
Check out the class webpage.
You can download the syllabus
and hence all the information
presented here from there. Go
to www.econ.bo
EC 233 - PS 2
1) (Textbook 2.66) Suppose that the number of distributors is M = 10 and that there are n =7
orders to be placed.
a) What is the probability that all of the orders go to different distributors?
b) Distributor I gets exactly two orders and Di
EC 233 - PS 3 Chapter 3
(Probability Distribution of Discrete R.Vs; Mean and Variance; Binomial Distribution)
0.
a)
b)
c)
d)
Tell whether each of the following is a discrete or a continuous random variable.
The number of beers sold at a bar during a parti
Q: The weekly gasoline demand at a filling station is a random variable normally distributed with
mean 3000 lt/week and st. deviation 200 lt. At the beginning of a certain week, the storage tank of
the filling station is empty.How much gasoline should the
EC 233 PS 6 questions
1) You are given the following pdf.
f(x): 1/3 for 0<x<1
1/3 for 2<x<4
0 elsewhere
a) Plot the graph of this pdf
b) Find the cumulative distribution function and plot its graph.
EC 233 - PS 8 Questions /Answers
6. 56 The number of planes arriving per day at a small private airport is a random variable having a
Poisson distribution with = 28.8. What is the probability that the time between two such arrivals is
at least 1 hour?
6.5
PS 4 EC 233
1) A student takes an exam that consists of 10 multiple choice questions. Each question has 5
possible answers. Suppose the student knows nothing about the subject and just guesses the
answer on each question. What is the probability that this
EC 233 - PS 5
1) Finding m.g.f of a distribution:
a) (Ex. 3.145) If Y has a binomial distribution with n trials and probability of success p, find the
m.g.f for Y
b) (Ex. 3.146) Find the mean and the variance of Y by using m.g.f
2) Finding m.g.f of a dist
SOME FORMULAE
N
n
s2
(yi y) 2
2
i 1
n -1
(y
i 1
i
) 2
N
n
p( y) p y (1 p) ( n y ) for y 0,1,2,., n E (Y ) np, var(Y ) np(1 p), 0 p 1, m(t ) 1 p e t 1
y
p( y) p(1 p) ( y1) for y 1,2,. E(Y ) 1/ p, var(Y ) (1 p) / p 2 , 0 p 1, m(t ) pet / 1 (1 p)et
p
Chapter 1.2
Characterizing a Set of Measurements:
Numerical Methods
1
There are some measures used to summarize the data
contained in a sample. Well study their properties in detail
later on and see more of them. For now lets see the most
basic ones.
Nume
PS on Extra Session Topics: Questions and Answers
Note: There is a correction in the below table. Check with the answer in the problem session
Ex. 5.3 is as follows: