Quiz 3 STAT 381, APPLIED STATISTICAL METHODS I, SPRING 2015
NAME: Solviion 3
Problem 1. Random variable X can take values 0,1, or 2 with positive probability.
Its pmf is f(m )2 0(3 + x). '
(3 points)
Quiz 6 STAT 381. APPLIED STATISTICAL METHODS 1, SPRING 2015
NAME:
Problem 1. (5 points) The length of 6ft extension cords made by a factory follows a
normal distribution with mean 72 inches and standa
Quiz 2 STAT 381, APPLIED STATISTICAL METPIV'ODSEI, SPRING 2015
NAME: SoMOWS I
Problem 1. For two independent events A and B, P(A) = .5 and P(A n B) = .3.
a. (2 points) Find 13(3). PCAES): PM) W [5)
W3
MATH 180
Review Second Midterm Exam
Monday, October 20, 2014
Name (print)
Signature
UIC ID
(1)
(2)
(3)
(4)
(5)
(6)
Write your name on your examination booklet.
Write your answers in the spaces provide
MATH 180
Review Exam 5
Monday, December 1, 2014
Name (print)
(1)
(2)
(3)
(4)
(5)
(6)
Write your name on your examination booklet.
Write your answers in the spaces provided.
Show your work. An unjustif
Lia Liu
1
STAT381
Lia Liu
Chapter 9 Confidence Intervals
List of topics: Given a random sample X1 , X2 , ., Xn from a
population distribution with unknown parameters. What can
we say about a unknown p
Lia Liu
1
STAT381
Lia Liu
Chap 6: Some Continuous Probability Models
List of topics: Section 6.1-6.4
1. Uniform distribution over [a, b].
The pdf of a uniform distribution is a constant (horizontal
li
Lia Liu
1
STAT381
Sections 1.1-1.6 Liu
List of topics: Describing data
1. Simple random sample
2. Population vs. sample
3. Given a set of 1-d data: x1, x2, ., xn
4. Stem-and-leaf plot: To arrange data
1
STAT381
Lia Liu
Chap 2: Probability Models
List of topics: Section 2.1-2.2
1. Experiment: a process of observations or measurements.
2. Outcomes: the results obtained from an experiment.
3. Sample s
Stat 381
Review for Exam 1
1. If A and B are independent events with P (A) = 0.4 and P (B) = 0.2. Find the
following:
(a) P (A
S
B)
(b) P (A0
T
B)
(c) P (A0
S
B0)
(d) P (A|B)
2. If A and B are mutuall
Stat 381
Review for Exam 1 Solutions
1. If A and B are independent events with P (A) = 0.4 and P (B) = 0.2. Find the
following:
(a) P (A
S
B)
P (A
(b) P (A0
T
[
\
B) = P (A) + P (B) P (A B)
= P (A) +
STAT 381
Spring 2016
Chapter 1 Homework
Solutions
1.1 The following measurements were recorded for the drying time, in hours, of a certain brand
of latex paint.
3.4 2.5 4.8 2.9 3.6
2.8 3.3 5.6 3.7 2.8
Kai) .
Quiz 9 STAT 381, PPLIED STATISTICAL METHODS 1, SPRING 2015
NAME:
In 2013 15% of UIC students had a tablet. It is 2015 and you heard someone say that
this has increased to 25%. We will conduct a
Quiz 6 STAT 381, APPLIED STATISTICAL METHODS I, SPRING 2015
NAME: Kev
Problem 1. (5 points) )You want to Estimate the average length of time shOppers Spend
on a website. A random sampling of 434 users
Section 2.6 Notes
Definition 1. Conditional Probability
The probability of an event B occurring when it is known that event A has already occurred.
Written as P (B | A). Calculated as
P (B | A) =
P (A
Chapter 3 & Chapter 4 Notes: Multiple Continuous Random Variable
Definition 1. Joint Density Function
The function f (x, y) is a joint probability distribution or joint probability density function
fu
Section 2.4 - 2.5 Notes
Definition 1. Probability
The chance that a specific event will happen. If there is an event A, then the probability of
event A is given by P(A).
Probability Rules, where A is
Section 2.7 Notes
Theorem 1 (Law of Total Probability (LOTP). If the events B1 , B2 , . . . , Bk constitute a
partition of the sample space S such that P (Bi ) 6= 0 for i = 1, 2, . . . , k, then for a
Section 2.3 Notes
Definition 1. Multiplication Rule
We have an experiment E1 with n1 outcomes. For each of these outcomes, an experiment E2
has n2 outcomes. For each of these outcomes, an experiment E
Quiz 7 STAT 381, APPLIED STATISTICAL METHODS I, SPRING 2015
NAME:
Problem 1. (5 points) At an order fulllment center it takes on average 5 minutes
to complete an order with a standard deviation of 2 m
Exam 2
STAT 381, Applied Statistical Methods I, Spring 2015
Name:
For full credit you must show your work. If you use a calculator function, please write
down the calculator input you used to get your
Keg
Quiz 5 STAT 381, APPLIED STATISTICAL METHODS 1, SPRING 2015
NAME:
Problem 1. (5 points) At a certain location on the highway the number of speeding
cars follows a Poisson distribution with an aver
Quiz 10 STAT 381, APPLIED STATISTICAL METHODS 1, SPRING 2015
NAME:
Ucnsurners have recently been complaining that the bums sora by Acme electric are
unusually dim. A random sampling of 25 60 watt bulb
Quiz 4 STAT 381, APPLIED STATISTICAL METHODS I, SPRING 2015
NAME: keg
Problem 1. (5 points) The forecast for the next 7 days in Costa Rica has a 40% chance
of rain each day. Assuming each days weather
Quiz 1 STAT 381, APPLIED STATISTICAL METHODS I, SPRING 2015
NAME: SGiUHQWS
Problem 1. You have 15 paintings in storage. Assume they are all different. You may
leave your answers unsimplied (e.g. 52 (g
Exam 1
STAT 381, Applied Statistical Methods I, Spring 2015
Name:
For full credit you must show your work.
1. (10 points) If P (B) = 0.4, P (A B) = 0.6 and P (A|B) = 0.5, are A and B
independent, mutu
STAT 381
Section 2.7 Homework
Solutions
2.97 Referring to Exercise 2.95, what is the probability that a person diagnosed as having
cancer actually has the disease?
Exercise 2.95: In a certain region o
STAT 381
Section 4.1 Homework
Solutions
4.2 The probability distribution of the discrete random variable X is
x 3x
3
1
3
f (x) =
, x = 0, 1, 2, 3.
x
4
4
Find the mean of X.
Solution:
When you find th
STAT 381
Section 4.3 Homework
Solutions
4.57 Let X be a random variable with the following probability distribution:
x
f (x)
-3
1/6
6
1/2
9
1/3
Find E(X) and E(X 2 ) and then, using these values, eval