Exam 1 Practice Exam 1: Long List solutions,
18.05, Spring 2014
1
Counting and Probability
1.
We build a full-house in stages and count the number of ways to make each
stage:
13
Stage 1. Choose the
Spring 2014 18.440 Final Exam Solutions
1. (10 points) Let X be a uniformly distributed random variable on [ 1, 1].
(a) Compute the variance of X 2 . ANSWER:
Var(X 2 ) = E[(X 2 )2 ]
and
E[X 2 ] =
2 2
18.05 Exam 2 Solutions
Problem 1. (10 pts: 4,2,2,2) Concept questions
(a) Yes and yes. Frequentist statistics dont give the probability an hypothesis is true.
(b) True. Bayesian updating involves mult
18.440 Final Exam: 100 points
Carefully and clearly show your work on each problem (without
writing anything that is technically not true) and put a box
around each of your nal computations.
1. (10 po
Post Exam 2 Practice Questions, 18.05,
Spring 2014
Jeremy Orlo and Jonathan Bloom
Note: This is a set of practice problems for the material that came after exam 2. In
preparing for the nal you should
Exam 2 Practice Questions, 18.05, Spring 2014
Note: This is a set of practice problems for exam 2. The actual exam will be much
shorter. Within each section weve arranged the problems roughly in order
Post Exam 2 Practice Questions solutions, 18.05,
Spring 2014
Jeremy Orlo and Jonathan Bloom
1
Condence intervals
To practice for the exam use the t and z-tables supplied at the end of this le. Be
sure
Practice Exam 1: Long List
18.05, Spring 2014
1
Counting and Probability
1. A full house in poker is a hand where three cards share one rank and two cards
share another rank. How many ways are there t
Fall 2012 18.440 Final Exam: 100 points
Carefully and clearly show your work on each problem (without
writing anything that is technically not true) and put a box
around each of your nal computations.
Name
18.05 Exam 2
No books or calculators. You may have one 46 notecard with any information you like on it.
7 problems, 7 pages
Use the back side of each page if you need more space.
Simplifying expr