Solutions to Practice Problems for Part II
1. A fund manager is considering investment in the stock of a health care
provider. The manager's assessment of probabilities for rates of return on
this stock over the next year are summarized in the accompanyin
Solutions to Practice Problems for Part V
1. A random sample of 1,562 undergraduates enrolled in marketing courses
was asked to respond on a scale from one (strongly disagree) to seven
(strongly agree) to the proposition: "Advertising helps raise our stan
Solutions to Practice Problems for Part VI
1. A company sets different prices for a particular stereo system in eight
different regions of the country. The accompanying table shows the numbers
of units sold and the corresponding prices (in hundreds of dol
Solutions to Practice Problems for Module #1
1. A corporation recruiting business graduates was particularly interested in
hiring numerate graduates (graduates with quantitative skills). To check on
the numeracy of applicants, a test of fifty questions wa
Solutions to Practice Problems for Module 3
1. An author receives from a publisher a contract, according to which she is
to be paid a fixed sum of $10,000, plus $1.50 for each copy of her book sold.
Her uncertainty about total sales of the book can be rep
Solutions to Practice Problems for Module 4
1. Five inspectors are employed to check the quality of components
produced on an assembly line. For each inspector, the number of
components that can be checked in a shift can be represented by a random
variabl
Practice Problems for Part V
1. A random sample of 1,562 undergraduates enrolled in marketing courses
was asked to respond on a scale from one (strongly disagree) to seven
(strongly agree) to the proposition: "Advertising helps raise our standard of
livin
Practice Problems for Part VI
1. A company sets different prices for a particular stereo system in eight
different regions of the country. The accompanying table shows the numbers
of units sold and the corresponding prices (in hundreds of dollars).
SALES
Practice Problems for Part I
1. A corporation recruiting business graduates was particularly interested in
hiring numerate graduates (graduates with quantitative skills). To check on
the numeracy of applicants, a test of fifty questions was developed. In
Practice Problems for Module 4
1. Five inspectors are employed to check the quality of components
produced on an assembly line. For each inspector, the number of
components that can be checked in a shift can be represented by a random
variable with mean 1
Practice Problems for Module 3
1. An author receives from a publisher a contract, according to which she is
to be paid a fixed sum of $10,000, plus $1.50 for each copy of her book sold.
Her uncertainty about total sales of the book can be represented by a
Solutions to Midterm Exam 3
1. A mortgage bank knows from experience that 1.7% of residential
loans made in a certain geographic area will go into default before the
end of five years.
(a) (3 points) If the bank makes 12 loans in this geographic area, wha
BETA
Chapter 5
Discrete Random Variables and
Their Distributions
5.1
From Variables to Random Variables
Basic Exercises
5.1 The answers will vary. One such example is the variable that measures time until arrival of
next customer to, say, a given bookstor
CAS MA 581
Probability
Spring 2017
SYLLABUS/ASSIGNMENTS
Prerequisite:
Instructor:
Contact:
MA225 or MA230 (or equivalent: multivariate calculus)
Dan Weiner and TA
Room 246 MCS Building, 111 Cummington Street
617-353-9546, [email protected]
Office Hours: Wed &
MA226
Spring 2017, Section C1
Mid Term 2 - PRACTICE
XX/XX/2017
Time Limit: 45min
Name:
Student ID:
Discussion Session:
This exam contains 8 pages (including this cover page) and 7 questions.
Total of points is 140.
Answer the questions in the spaces pr
MA684 HW from Class 6
Linear Regression with Categorical Predictors
SOLUTION
1. (No computer work needed - based on a study of maternal behavior during pregnancy,
headed by Dr. Debbie Frank at Boston Medical Center). Were interested in the association
bet
CAS MA 581
Instructions:
Exam I
Spring 2017
D. Weiner
Work problems; problems are weighted uniformly, as are subdivisions within a problem.
Justify your solutions as indicated in lecture for fullest credit.
1.
Suppose the probability that it takes you exa
Homework
Homework will be assigned here at the end of each class.
The homework assignments do not count towards your grade and are not to be handed in. Instead, there will be a weekly quiz in discussion on one of the questions of the homework.
o Homework
/*Q1*/
PROC CORR data=sbp;
var BslSBP FinalSBP;
quit;
run;
/*Q2*/
PROC ttest data=sbp;
var BslSBP;
class treat;
quit;
/*Q3*/
data decline;
set sbp;
decline=FinalSBP-BslSBP;
run;
proc sort data=decline;
by treat;
run;
proc means data=decline;
var decline;
MA293Spring2017 Testl February 23, 20l7
l. (J 0 points) Is the following expression always producing prime numbers for any natural number
71? If yes, you must provide a proof. If not, you must provide an unlimited supply of
counterexamples.
n2+n+41
59+ m=
1.a
According to correlation test, the unadjusted correlation coefficient between final SBP and
baseline SBP is 0.79548.
b. null hypotheses: the true correlation is 0
alternative hypotheses: The correlation coefficient is significantly not 0.
suppose Bsls
MA684
Homework from Class 3
Xiao Zeng UID U32757637
1D. Find these intervals using a statistical computing package (SAS and SPSS users,
note that ID=10 has a femur length of 18 inches).
95% confidence interval (60.57, 61.37)
95% prediction interval (58.58
EXERCISE 1
Can you find a way to calculate:
Z
1
0
x
dx
x+1
EXERCISE 2
Calculate:
Z
x2 ln(x)dx
EXERCISE 3
Suppose that consumers are choosing between Apples and Bananas. We have a utility
function that describes levels of utility for every combination of A