San Jose State University, Department of Mathematics Math 161A, sec. 03 Applied Statistics I Spring 2010
Instructor: Dr. Kovaleva Olga, office: MH 439; e-mail: [email protected] Course website: http:/www.sjsu.edu/people/olga.kovaleva/
Homework assign
Quiz 1 - Math 161A Fall 2012
Total Number of Points 25
# 22 (3 points)
(1 point) What are the interesting features of this histogram? The distribution of the differences
is positively skewed. The mean difference will be larger than the median.
(1 point) W
Solution for Continuous Distribution Problem
Math 161A - Spring 2017
1. Let X be a continuous random variable with probability density function
1
0x<1
2
x2 2x<3
f (x) =
0
otherwise
(a) Sketch the PDF f (x).
f(x)
1
0.5
x
0
1
2
3
E(X)
(b) Find the CDF F (
Solutions for Conditional Probability Problems
Math 161A - Spring 2017
1. 98% of all babies delivered survive delivery. However, if a C-section is performed,
then the baby survives 96% of the times. 15% of all births involve C-sections. For a
mothe who di
Solution for Counting Problems
Math 161A - Spring 2017
1. The passwords for a particular computer network consist of seven alphanumeric
characters (letters or numbers.) The system is case sensitive, meaning Capital letters
and lower case letters are consi
Math 161A
Solution for Named Discrete Distribution Problems I
In each part of each problem define the random variable you are working with in words
(X = .) and state its distribution along with all relevant parameters before you answer
the question.
1. Su
Solution for Homework 6
Math 161A - Spring 2017
1. A man is meeting his fiance at a nice restaurant for lunch. He will be at the restaurant exactly at 12:30pm. She will show up at a random time uniformly distributed
between 12:20pm and 12:45pm.
Define the
Math 161A
Solutions to Discrete Random Variable Practice Problems
1. In the game of Roulette, players can bet on numbers or combinations of numbers. A wheel is spun, and a little ball will come to rest in one of 38 numbered
slots with equal probability. I
Math 161A
Dr Bee Leng Lee
Problem Set 11
1. A random sample of 10 houses in a particular area, each of which is heated with natural gas, is
selected and the amount of gas (therms) used during the month of January is determined for
each house. The resultin
2.3 Counting Techniques
Product Rule
If the first element or object of an ordered pair can be used
in n1 ways, and for each of these n1 ways the second
can be selected n2 ways, then the number of pairs is
n1n2.
* Note that this generalizes to k elements (
Math 161A
Dr Bee Leng Lee
Problem Set 1
1. [6 pts] A box contains three marbles one red, one green, and one blue. Consider
an experiment that consists of taking one marble from the box, then replacing it in the
box and drawing a second marble from the box
Math 161A
Dr Bee Leng Lee
Problem Set 12
1. Many older homes have electrical systems that use fuses rather than circuit breakers. A manufacturer of 40-amp fuses wants to make sure that the mean amperage at which its fuses burn out
is in fact 40. If the me
Chapter 2.1-2.2
The sample space of an experiment, denoted S , is the set
of all possible outcomes of that experiment.
An event is any collection (subset) of outcomes contained
in the sample space S. An event is simple if it consists
of exactly one outcom
12. Descriptive Statistics
Math 161A Applied Probability and Statistics I
Dr Bee Leng Lee
Introduction
The discipline of statistics provides methods for:
organizing and summarizing data (descriptive statistics), and
drawing conclusions based on informat
13. Statistics and Their Distributions
Math 161A Applied Probability and Statistics I
Dr Bee Leng Lee
Introduction
A statistic is a quantity whose value can be calculated from
sample data.
The values of the individual observations in a sample vary from
sa
14. Statistical Inference (Part II)
Math 161A Applied Probability and Statistics I
Dr Bee Leng Lee
Test of Statistical Hypotheses
The goal of hypothesis testing is to use sample data to get a
yes or no answer to substantial questions:
Does a new drug imp
11. Special Continuous Distributions
Math 161A Applied Probability and Statistics I
Dr Bee Leng Lee
Uniform
1. Probability Density Function.
A continuous random variable X is said to have a uniform
distribution on the interval [, ], denoted X U(, ), if it
14. Statistical Inference
Math 161A Applied Probability and Statistics I
Dr Bee Leng Lee
Introduction
Example 75.
Most human foetuses show a preference to turn their head to
the right.
Right-sided bias in head-turning preference has also been
observed in
Solution for Homework 1
Math 161A - Spring 2017
1. How many (distinguishable) outcomes do the following experiments have?
(a) Flipping three coins: a quarter, a dime, and a penny.
Each coin has two possible outcomes (heads or tails). Thus, altogether ther
Solution for Homework 3
Math 161A - Spring 2017
1. Suppose an individual is randomly selected from all adults living in the United
States. Define the events A = the individual is CEO of an oil company, and B = the
individual has an annual salary of over $
Bryan T. Humphreys
San Jos State University - Math
Fall 2016
Midterm I Review
The first Midterm can be comprised of any material that ranges from Chapter 1 and Chapter 2.
Topics include (but are not limited to):
Populations and Samples
Graphical Me
Bryan T. Humphreys
San Jos State University - Math
Spring 2016
Midterm I
The following midterm is to be taken individually and independently. A scientific calculator is permitted and
!
you are allowed to use ONE 8 !" 11" NOTE SHEET. No other use of the bo
Bryan T. Humphreys
San Jos State University
Math 161A
Section 3.1 - Introduction to Random Variables
In many random experiments, we are not interested in the specific outcome of the
experiment, but rather some characteristic of that outcome. For example,
Bryan T. Humphreys
San Jos State University
Math 161A
Section 2.1 - Sample Space and Events
Definitio n : An expe rim en t is any activity or process (that is repeatable) whose
outcome is subject to uncertainty.
Exam p les in clude :
Flipping a coin
Selec
Bryan T. Humphreys
San Jos State University
Math 161A
Section 3.4 - The Binomial Distribution
As statisticians, we try to categorize random variables so that we can use well-known
probability distributions. From a mathematical standpoint, the number of