Department of Mathematics
Name: _ Poly ID: _ Instructor's Name: _ Course No:_ Course Section: _ Homework Section No: __
Willis Thai 3.4-1
MA2212
HW07
Telephone calls enter a college switchboard at a mean rate of 2/3 call per minute according to
Department of Mathematics
Name: _ Poly ID: _ Instructor's Name: _ Course No:_ Course Section: _ Homework Section No: __
Willis Thai 2.4-1
MA2212
HW04
An urn contains 7 red and 11 white balls. Draw one ball at random from the urn. Let X = 1 if a
Department of Mathematics
Name: _ Poly ID: _ Instructor's Name: _ Course No:_ Course Section: _ Homework Section No: __
Willis Thai 3.2-1
MA2212 { . Y{ 3 Y 3 , zero elsewhere.
HW06
Let the random variable X have the pdf X{Y{ (a) Sketch the graph
Department of Mathematics
Name: _ Poly ID: _ Instructor's Name: _ Course No:_ Course Section: _ Homework Section No: __
Willis Thai 1.3-1
MA2212
HW02
A boy found a bicycle lock for which the combination was unknown. The correct combination is a
1. In a United State election, a political analyst believes that if Democrats win
Florida, their probability of win the election is 0.9 and if they lose Florida, the
possibility of winning the election is 0.4. The analysis believes the possibility
of the
MA-2214
Data Analysis
Tandon School of
Engineering
TRIO Scholars Program
Made By Haosen Zhao
1. T distribution
The foundation behind any hypothesis test is being able to take the test statistic
from a specific sample and place it within the context of a
(1) Let " , $ & be a random sample from the bi(1, p) distribution so that
Xi = 1 corresponds to a success with probability p and Xi = 0
corresponds to a failure with probability 1 p.
(a) What is the expected value and variance of Xi?
(b) What is the appro
(1) Let X be a random variable with the p.d.f.
=
%& '
(
for 1 x 1.
Show your work when solving the following problems.
(a) Find P (X > 0.25).
(b) Find the mean () and the variable ( ) of X.
(c) Let 6 , ( , , (9 be a random sample of size 24 from the ab
MA-2214
Data Analysis
Tandon School of
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TRIO Scholars Program
Made By Haosen Zhao
1. Set theory
The union of two sets is a new set that contains all of the elements that are in at
least one of the two sets. The union is writen asAB.
1. Set the
MA-2214
Data Analysis
Tandon School of
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TRIO Scholars Program
Made By Haosen Zhao
1. Stem and Leaf Plot
Stem-and-leaf plots are a method for showing the frequency with which certain
classes of values occur.
For example: suppose you have the f
MA-2214
Data Analysis
Tandon School of
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TRIO Scholars Program
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1. Random Variable
A Random Variable is a set ofpossible valuesfrom a random experiment.
Just like the weather tomorrow, the president after 4 years
Not Like a
MA-2214
Data Analysis
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TRIO Scholars Program
Made By Haosen Zhao
1. Combinations &
Permutations
When the order doesn't mater, it is aCombination.
When the orderdoesmater it is aPermutation.
A Permutaton is anorderedCombinato
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TRIO Scholars Program
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1. Poisson Random Variable
Theprobability distribution of a Poisson random variableXrepresentng the number of
successes occurring in a given tme interval or a sp
MA-2214
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1. Interval Estimate
A Confdence Interval is arange of valueswe are fairly sure ourtrue valuelies
in.
1. Interval Estimate
Ex.
We measure the heights of40rando
(1) Suppose the FAA weighed a random sample of 20 airline passengers
during the summer and found their weights to have a sample mean of 170
pounds and sample standard deviation of 20 pounds. Assume the weight
distribution is approximately normal.
(a) Find
Department of Mathematics
Name: _ Poly ID: _ Instructor's Name: _ Course No:_ Course Section: _ Homework Section No: __
Willis Thai
MA2212
HW03
2.1-2
Let a chip be taken at random from a bowl that contains six white chips,t here red chips, and
Department of Mathematics
Name: _ Poly ID: _ Instructor's Name: _ Course No:_ Course Section: _ Homework Section No: __
Willis Thai 1.1-1
MA2212
HW01
Describe the outcome space for each of the following experiments: (a) A student is selected at
MA 2212
Polytechnic Institute of NYU
Final Exam
March 2, 2009
Print Name:
Signature:
Section:
ID #:
Directions: You have 100 minutes to answer the following questions. You
must show all your work as neatly and clearly as possible and indicate the
nal answ
MA 2212
Polytechnic Institute of NYU
MIDTERM
Feb 12, 2009
Print Name:
Signature:
Section:
ID #:
Directions: You have 55 minutes to answer the following questions. You
must show all your work as neatly and clearly as possible and indicate the
nal answer cl
MA 2212
Polytechnic Institute of NYU
MIDTERM
SAMPLE
Print Name:
Signature:
Section:
ID #:
Directions: You MUST SHOW ALL YOUR WORK as neatly and clearly
as possible and indicate the nal answer clearly. You may use a calculator.
Problem Possible
1
15
2
15
3
MA-2214
Data Analysis
Tandon School of
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Made By Haosen Zhao
1. Bernoulli
Binomial Probability Distribution
"Bi" means "two"(like a bicycle has two wheels) .
. so this is about things withtwo results.
Like Tossing a Coin,