MATH-1XXX (DUPRE) FALL 2013 TEST 2 ANSWERS
5
Suppose that we have twenty cards from a standard deck of cards so as to have
5 of each suit. Suppose that we deal out four cards from this deck of twenty cards.
Answer the following questions using this infor
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MATH-1XXX (DUPRE) FALL 2013 TEST 1 ANSWER DETAILS
DATE: WEDNESDAY 18 SEPTEMBER 2013
LARGE
1. PRINT YOUR LAST NAME IN
CAPITAL LETTERS ON
THE UPPER RIGHT CORNER OF EACH SHEET TURNED IN.
2. PRINT YOUR FIRST NAME IN CAPITAL LETTERS DIRECTLY UNDERNEATH YOUR L
MATH-1XXX (DUPRE) FALL 2013 TEST 1 ANSWERS
DATE: WEDNESDAY 18 SEPTEMBER 2013
LARGE
1. PRINT YOUR LAST NAME IN
CAPITAL LETTERS ON
THE UPPER RIGHT CORNER OF EACH SHEET TURNED IN.
2. PRINT YOUR FIRST NAME IN CAPITAL LETTERS DIRECTLY UNDERNEATH YOUR LAST NAM
Math 111 syllabus Fall 2004
8/27/10 12:41 PM
MATHEMATICS 1230
STATISTICS FOR SCIENTISTS
SYLLABUS
FALL 2010
LECTURE: MWF 11:00-11:50 AM in JONES 204
LAB: T / TH (at time and location specified in the Registrar Course Schedule)
INSTRUCTOR
Maurice J. Dupre
O
Formula Sheet
n
n!
=
k
k!(n k)!
P
xp(x),
discrete;
= E(X) = R
xf (x)dx, continuous.
2 = Var(X) = E[(X )2 ] = E(X 2 ) 2
If a and b are constants,
E(aX + b) = aE(X) + b,
Var(aX + b) = a2 Var(X)
If X and Y are independent,
Var(X Y ) = Var(X) + Var(Y )
Chapter 3
3.2
Binomial Experiments and Binomial Random Variables.
1) The experiment will consist of n Bernoulli trials
2) Each Bernoulli trial will have two possible outcomes: success or failure.
3) The probability of success will be the same for all tria
Formula Sheet
n! = n (n 1) (n 2) 3 2 1
0! = 1
Prn = nP r =
Ckn
n!
(n r)!
( )
n
n!
=
=
k!(n k)!
k
P (A B) = P (A) + P (B) P (A B)
P (A) + P (A ) = 1
P (A|B) =
P (A B)
P (B)
If A and B are independent,
P (A B) = P (A)P (B)
For a discrete random variable X,
5.3
Estimation
Definition: An estimator of a parameter is unbiased if () = .
Examples:
The sample mean value is an unbiased estimator .
The sample variance 2 is an unbiased estimator of the variance 2 . See Example 5.2
The sample proportion is an unbiased
Chapter 2
2.1
Definition: A random variable (abbreviated RV) is a rule which assigns a value to each element of the
sample space.
A random variable is said to be discrete if given any value and any sufficiently small open interval which
contains the value
Syllabus: Math 123 (Fall 2016)
Statistics for Science Majors
Instructor: Kui Zhang
Office: 415D Gibson
Office Hours: MWF 9:00-11:00
E-Mail: [email protected]
Lectures: Sections 5, meet at 8:00 am in GI 126A
Textbook: Essentials of Probability and Statist
Chapter 1
1.4
S = sample space
The subsets of the sample space are called events. The events consisting of the single elements of the
sample space are called the simple events.
If an element of an event is the outcome of the experiment, then the event is
Chapter 4
The population is the set of all objects under study.
A sample is a subset of the population.
A random sample is a sample obtained by a method so that the elements of the sample a chosen
randomly and independently.
A statistic is a numerical cha
Exam 1 Math 1230 2/10/2017
Name_
Section _ Show all relevant work. Please do not detach the formula sheet from the exam.
do not detach any pages from the exam. There are 10 problems.
Please
Seven Children
We have 7 children: A, B, C, D, E, F, G.
1) Referr
The Exam 1 Formula Sheet is placed at the end.
1) We have an urn with 1 red ball and 9 yellow balls. We will sample 3 balls form the urn with
replacement. What is the probability that we will obtain at least one yellow ball?
a) 0.001
b) 0.9500
c) 0.9999
d
Exam 2 Practice Problems for Math 1230
The formula sheet for Exam 2 is at the end. There is an n=25 table of cumulative probabilities
for the binomial distribution at the end; use it where appropriate.
You should work through this practice exam without a
I,
r". .
94 Stats for Scientists - Exam One
February 24, 2012
Name W l C
I Directions: Be sure to show all your work. .
Please write your nal answer in the blank provrded.
1. A continuous random variable can only take on:
(a) positive values
(b) a counta
Exam 1 Math 1230 2/8/12 Form A Name
Section _ Show all relevant work. Block your answers. There are 14 problems.
Round your answers to 4 decimal places unless the answer naturally rounds off to fewer declmal
places. Please do not detach any pages from the
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MATH-1XXX (DUPRE) FALL 2013 TEST 2 ANSWERS
DATE: WEDNESDAY 2 OCTOBER 2013
LARGE
1. PRINT YOUR LAST NAME IN
CAPITAL LETTERS ON
THE UPPER RIGHT CORNER OF EACH SHEET TURNED IN.
2. PRINT YOUR FIRST NAME IN LARGE CAPITAL LETTERS DIRECTLY
UNDERNEATH YOUR LAST
MATH-1230 (DUPRE) PRACTICE TEST PROBLEMS
FIRST: PRINT YOUR LAST NAME IN LARGE CAPITAL LETTERS ON
THE UPPER RIGHT CORNER OF THIS SHEET.
SECOND: PRINT YOUR FIRST NAME IN CAPITAL LETTERS DIRECTLY
UNDERNEATH YOUR LAST NAME.
THIRD: WRITE YOUR FALL 2010 MATH-1
MATH-1230 (DUPRE) FALL 2010 TEST 6 TAKE HOME
FIRST: PRINT YOUR LAST NAME IN LARGE CAPITAL LETTERS ON
THE UPPER RIGHT CORNER OF THIS SHEET.
SECOND: PRINT YOUR FIRST NAME IN CAPITAL LETTERS DIRECTLY
UNDERNEATH YOUR LAST NAME.
THIRD: WRITE YOUR FALL 2010 MA
MATH-1230 (DUPRE) PRACTICE TEST PROBLEMS
7
72. Suppose that in my pond are found both red sh and blue sh and I do not know the
true mean weight for either of these two populations. Suppose that I would like to make a 95
percent condence interval for the
MATH-1230 (DUPRE) PRACTICE TEST PROBLEMS
3
15. If fourteen cards are dealt from the top of a well shued deck of cards one after another
without replacement, what is the chance that the fourth card is a heart?
16. If fourteen cards are dealt from the top
MATH-1230 (DUPRE) PRACTICE TEST PROBLEMS
5
50. Suppose X = 10, and that the sample observations form a Simple Random Sample (for
short, SRS) from a population of size N = 101 and that n = 25. Now what is SD(T )?
51. Suppose X = 10, and that the sample ob
MATH-1XXX (DUPRE) FALL 2013 TEST 1 ANSWERS
3
9. The expected value of X given that the number on top is 4 times as likely to be in the
set cfw_1, 2, 3 as not.
A. 4
B. 3.5
C. 2.6
D. 2.5
E. None of the above
CORRECT ANSWER: C
Suppose that a box contains 2
MATH-1XXX (DUPRE) FALL 2013 TEST 2 ANSWERS
3
9. Given that we DO NOT USE the correlation of X with Y to guess a value for Y, but
simply guess E (Y ) = 50, without looking to see the value of X, then our expected squared
error is
E (error2 ) =
A. 50
B. 25
MATH-1XXX (DUPRE) FALL 2013 TEST 3 ANSWER DETAILS
6
Suppose that we are studying the population of bears in Smokey Mountain
National Park. We have an independent random sample of 9 bears from the population with a sample mean weight of 900 pounds and a s
MATH-1XXX (DUPRE) FALL 2013 TEST 3 ANSWER DETAILS
3
We randomly draw 10 cards from a standard deck of cards and count the number
T of times we get a spade. Calculate:
4. E (T ) =
A. 2
B. 2.5
C. 3
D. 3.5
E. NONE OF THE ABOVE
The expected value for the tot
Exam 2 Math 1230 3/8/2016
Name_
Section _ Show all relevant work. Please do not detach any pages from the exam. There are 11
problems. There are two tables: An n= 25 trials table of cumulative binomial probabilities, and a table of
cumulative probabilitie