Statistics 1: Problem Set 5
Abbr.: r.v. = random variable, pmf = probability mass function, pdf = probability
density function
1. Consider an experiment of tossing a fair coin twice. Let (X; Y ) be a bivariate r.v.,
where X is the number of heads that occ
Statistics I, Group 04. Prof. M. Creel
Fourth Short Exam, Mon. 11 Jan., 2010
NAME:
DNI:
Signature:
Do not begin working on the exam until told to do so. Read the whole exam. Brief clarifying questions are allowed before work begins. Once all questions hav
Statistics 1: Problem Set 4
1. Find the expectation , variance
distributions:
(i)
(ii)
(iii)
xi
f (xi )
2
1/3
xi
f (xi )
xi
f (xi )
-5
1/4
1
.4
3
1/2
and standard deviation
of each of the following
11
1/6
-4
1/8
3
.1
2
1
1/2
4
.2
2
1/8
5
.3
2. A fair die
Statistics 1: Problem Set 3
r.v. = random variable
cdf = cumulative distribution function [
Abbreviations:
or distribution function]
pmf = probability mass function
pdf = probability density
function
1. Consider the experiment of throwing a fair die. Let
Statistics 1: Problem Set 2
1. Three fair coins are tossed. Find the probability p that they are all heads if (i) the
rst coin is heads, (ii) one of the coins is heads.
2. In a certain college, 25% of the students failed mathematics, 15% of the students
f
Statistics 1: Problem Set 1
1. Let U= cfw_a,b,c,d,e, A = cfw_a,b,d and B= cfw_b,d,e. Find: (i) A [ B (ii) B \ A (iii) B c
(iv) B n A (v) Ac \ B (vi) A [ B c (vii) Ac \ B c (viii) B c n Ac (ix) (A \ B )c (x) (A [ B )c
2. Prove: A
B if and only if A \ B = A
Degree in Tourism - Applied Statistics
Group practice 1
Descriptive Statistics
Practice to deliver at the end of the session in groups up to four students
Case
A new hotel opens in the city, just in the limit of two districts. Before setting the price of