PSTAT 120A: HW2 - Solutions
(a) A restaurant oers 15 possible toppings for its pizzas. How many dierent pizzas with 4 dierent
toppings can be ordered?
(b) How many ways can 5 people stand in line at the restaurant?
(c) The restaurant has 12 roo
Self and Peer Assessment
listened actively and respectfully to the teacher and classmates
worked cooperatively and effectively with others
willingly participated with a positive attitude
followed rules, routines and procedures
was a kind
Dance Self Assessment Sheet
Waltz Rubric: Rate your partner according to the following rubric (scoring system)
1 Can not perform the skill
2 Performs the skill sometimes but struggles
3 - Performs the skill correctly most of the time
4 - Per
Economics 10A Fall 2015
All Classes MWF 12:00 Noon 12:50 pm
Course Description: Economic theory relating to demand, production, and competitive product markets with
emphasis on applications of theory.
Instructors and Class Locations:
Nested Problem and extra
How to solve a probability problem
1. Read the problem carefully.
2. Answer the following questions:
A. What is the random variable of interest in the problem?
B. How can I find the pmf of the r.v.?
1. If this r.v. follows a spe
Midterm #1 Summer 2015 Econ 10A
August 13, 2015
Test Form A
(1) Which of the following types of preferences is weakly monotonic, but not strongly monotonic?
(a) Preferences represented by a Cobb-Douglas utility function
(b) Preferences in which one commod
Negative Binomial Distributions
Just like the Binomial and Hypergeometric
distributions, the Geometric distribution deals
with successes and failures.
Poisson Distribution, Poisson
Approximation to the Binomial
Hypergeometric Distribution, Binomial
Approximation to the Hypergeometric
Sometimes we are interested in the num
The Bernoulli and Binomial distributions
Bernoulli random variables describe experiments
that either result in a success or a failure.
Heads (success) or tails (failure) in
Discrete Random Variables
Probability Mass Functions (PMF)
Cumulative Distribution Functions (CDF)
Expectation (mean) and Variance
- A random variable X is a real-valued function whose doma
Permutations and Combinations
We use Permutations when we are interested in the number
of possible ways to choose a subset of objects, and ORDER IS
IMPORTANT (Ex: a,b,b,a is not the same as b,
(I) Independence, Bayes Formula, Tree
(II) Basic Counting Principle
Intuitively, we say that two events are
independent if the occurrence of one of the events
gives us NO information a
Conditional Probability, Law of total
The probability that an event occurs under the condition
that another event occurred
- denoted: P(A|B)
- The probability of A given
Set Theory, Introduction to Probability,
Sample Spaces, The Addition Law
Random Experiment: an action which produces welldefined but unpredictable outcomes
Sample Space : the set of all possib
PSTAT 120A: HW3
Due Oct 27 at the beginning of class
Clearly mark your solutions with your name, the name of your TA, and the time
of your discussion session.
Make sure to staple the pages of your solution set together.
Urn I contains 25 white
20 September 2013
Life can come at you in many different ways, sometimes good, sometimes
bad, or sometimes it could even be both. Nobody could ever really tell their future,