Problem 1
P ( A B) 0.1
=
=0.5
P(B)
0.2
P ( A B) 0.1
=
=0.25
b. P ( B| A )=
P( A)
0.4
c. no, because P( AB) P( A) , and
a.
P ( A|B )=
P( B A) P( B)
Problem 2
P ( A )=P ( E1 ) + P ( E2 ) + P ( E3 ) =0.2+0.3+0.3=0.8
a.
P ( B ) =P ( E 2 ) + P ( E 3 ) + P ( E4
Problem 1
Firstly, as 4.5% is a very small proportion, women responded to the 100,000
questionnaires is a small number. Therefore, the sample doesnt have
representativeness. Besides, since the response is voluntary, women with
negative opinions are more l
Problem 1
74% (55% + 41% - 22%)
Problem 2
a)
b) 6% (4% + 3% - 1%)
4% MySpace
c)
94%
1%
Both
(100% - 6%)
Problem 3
a) 0.33 (57 / 171)
b) 0.35 (60 / 171)
c) 0.26 (45 / 171)
d) 0.42 (60 + 12) / 171)
Problem 4
24 (4 3 2 1) handshakes are exchanged.
Problem 5
Problem 1
x =68 . The mean of the sampling distribution of x should be the same as
1.
the mean of the population.
27
=
=4.025 . The sample number is 45, which is bigger than 30, so
n 45
we can assume that it is normal distribution.
x=
2.
3.
Because the
The unexamined life is not worth living
There is only one good, knowledge, and one evil, ignorance
Socrates (c. 469 - 399 B.C.)
Socrates was a hugely important Greek philosopher
from the Classical period. Unlike most of the
Pre-Socratic philosophers who c
1
On non-linear regression analysis
1. Non-linear regression means that the relationships
between the variables will no longer be of linear form.
2. In non-linear regression the right-hand side variables
may appear in squared, cubed, logarithmic, etc., fo
Req. 1
Pennys Pool Service & Supply.
Income Statement
For the Year Ended December 31, Current Year
Revenues
Sales revenue
$ 60,000
Expenses
Cost of supplies used
8,200
Wage expense
24,000
Other administrative expense
4,500
Total expenses
36,700
Pretax inc
Recitation Number 4
Random Variables
Binomial Distribution
Statistics for Business and Economics NYUSH 2016
1
Investment Problem
Business man plans to invest 2 Million USD into
the drilling of oil.
The probability that the oil wont be found and
therefore
Fear cannot be without hope nor hope without fear.
The world would be happier if men had the same capacity to be silent that
they have to speak
Baruch Spinoza
1632-1677
A Jewish Dutch Philosopher
MSI Tech Support (Institute)
Beamer presentations in SWP an
Rabindranath Tagore (1861 1941),
also known as Rabi Thakur, was a Bengali philosopher, poet, and winner
of the Nobel Prize for literature in 1913
"Everything comes to us that belongs to us if we create the capacity to
receive it".
"Dont limit a child to y
Confucius [literally "Master Kong"] (551 B.C. 479
B.C.) was a Chinese social philosopher, whose teachings
deeply inuenced East Asian life and thought.
"To study and not think is a waste. To think and not
study is dangerous"
"Ignorance is the night of the
Paradoxes, Data Types,
Data Display,
and Summary Statistics
Chapters 1-2
Statistics for Business and Economics NYUSH 2016
1
Statistics for Business and Economics NYUSH 2016
2
Boy or Girl
Mr. Smith has two children.
The first born child is a boy.
What is t
Probability
Chapter 3
Statistics for Business and Economics NYUSH 2016
1
Statistics for Business and Economics NYUSH 2016
2
Statistical Summary
Statistics for Business and Economics NYUSH 2016
3
Statistical Summary
Statistics for Business and Economics NY
1
Chapter 6: Condence intervals
for the population mean
Remark: We will cover Sections 6.1-6.4. We skip Sections 6.5-6.7 (though we might cover them later once
time permits).
2
Chapter 6, Sections 6.1-6.4: Point
estimate and condence interval
for the popu
"One cannot step twice in the same river"
Heraclitus, 535 - 475 B.C., was a Pre-Socratic Greek
philosopher
1
Chapters 5 and 6: Sampling
distributions and the role of
the Central Limit Theorem
! Random samples; Statistics; Parameters; Point Estimates; prop
Rabindranath Tagore (1861 1941),
also known as Rabi Thakur, was a Bengali philosopher, poet, and winner
of the Nobel Prize for literature in 1913
"Everything comes to us that belongs to us if we create the capacity to
receive it".
"Dont limit a child to y
The unexamined life is not worth living
w
Socrates (c. 469 - 399 B.C.)
Socrates was a hugely important Greek philosopher
from the Classical period. Unlike most of the
Pre-Socratic philosophers who came before him, who
were much more interested in establis
The unexamined life is not worth living
There is only one good, knowledge, and one evil, ignorance
Socrates (c. 469 - 399 B.C.)
Socrates was a hugely important Greek philosopher
from the Classical period. Unlike most of the
Pre-Socratic philosophers who c
Homework #06 Solutions
BUSF-SHU 101 Statistics for Business and Economics
You can find all the Solutions of Problems 1-8,10-12 on the
Students Solutions Manual.
9)
X
X
( ,1)
2
+ ( ,1)
2
= 1.26
= 8.74
n=20 and (0.025 ,19) =2.093.
Thus:
X
X
2.093
+ 2.093
Recitations Number 3 Solution
BUSF-SHU Statistics for Business and Economics
*The first problems solution can be found in the solutions of HW02 (Problem 10).
Multiple Choice Problem
Let K be the probability that the student knows the answer and let C be t
Solution to Recitation Number 2
BUSF-SHU Statistics for Business and Economics
1) The order is important and repetitions are allowed.
a) 10*10*10 = 103
b) There are 2 different ways to solve this problem:
b.1) Direct Solution: 9*10*10= 900
b.2) Compliment
Solutions to Recitations Number 1
BUSF-SHU Statistics for Business and Economics
Salaries Problem:
1)
= 3000+9000+5000+3000+8000 = 5600
5
In order to find the Median we should arrange the salaries in ascending order:
3000,3000,5000,8000,9000
n is odd num
Homework #9 Solutions
BUSF-SHU 101 Statistics for Business and Economics
You can find all the Solutions of Problems 1-4, 7-9 on the Students Solutions Manual.
5
a)
b)
10
15
20
25
30
graph twoway (lfit gasstations population) (scatter gasstations populatio
Homework #07 Solutions
BUSF-SHU 101 Statistics for Business and Economics
You can find all the Solutions of Problems 1-7 on the Students Solutions Manual.
8)
(a) The test statistic is
T=
x 0
=
1,263 1,300
29
8
= -3.609
The rejection region is t < t/2 or t