Stat 330 (Fall 2015): Homework 5
Due: October 7, 2015
Show all of your work, and please staple your assignment if you use more than one sheet. Write your name,
the course number and the section on every sheet. Problems marked with * will be graded and one
Stat 330 (Fall 2015): Homework 3
Due: September 16, 2015
Show all of your work, and please staple your assignment if you use more than one sheet. Write your name,
the course number and the section on every sheet. Problems marked with * will be graded and
Stat 330 (Spring 2016): Homework 1
Due: 1/20/2016
Show all of your work, and please staple your assignment if you use more than one sheet. Write your name,
the course number and the section on every sheet. Problems marked with * will be graded and one add
Stat 330 (Spring 2016): Homework 8
Due: 4/1/16
Show all of your work, and please staple your assignment if you use more than one sheet. Write your name,
the course number and the section on every sheet. Problems marked with * will be graded and one additi
Stat 330 (Fall 2015): Homework 9
Due: November 13, 2015 (No late submission allowed!)
Show all of your work, and please staple your assignment if you use more than one sheet. Write your name,
the course number and the section on every sheet. Problems mark
Stat 330 (Fall 2015): Homework 9
Due: November 13, 2015 (No late submission allowed!)
Show all of your work, and please staple your assignment if you use more than one sheet. Write your name,
the course number and the section on every sheet. Problems mark
Exercises 397
where you can mark which statistics youd like to obtain mean squared error 32, AN OVA
F~statistic, R2, Rgdj, etc.
You can also use stepwise (X , Y) to select variables for the multivariate regression. A window
opens such as on Figure 11.7, a
Stat 330 (Fall 2015): Homework 5
Due: October 7, 2015
Show all of your work, and please staple your assignment if you use more than one sheet. Write your name,
the course number and the section on every sheet. Problems marked with * will be graded and one
Stat 330 (Spring 2016): Homework 2
Due: January 27, 2016
Show all of your work, and please staple your assignment if you use more than one sheet. Write your name,
the course number and the section on every sheet. Problems marked with * will be graded and
Stat 330
Homework 9 Solution
Spring 2012
1. Cars arrive at a city ATM according to a Poisson process with average rate of 4 cars
every 15 minutes. The time each customer spends on bank transactions is Exponential
with the average time of 3 minutes. When a
68 Probability and Statistics for Computer Scientists
Exercises
3.1. A computer virus is trying to corrupt two les. The rst le will be corrupted with probability
0.4. Independently of it, the second le will be corrupted with probability 0.3.
(a) Compute
Stat 330
Homework 3 Solution
Spring 2012
1. Among 10 laptop computers, ve are good and ve have defects. Unaware of this, a
customer buys 6 laptops. What is the probability that exactly 2 laptops are defective
among them?
Solution: Here we assume that samp
Slide set 21
Stat 330 (Spring 2017)
Last update: March 26, 2017
Stat 330 (Spring 2017): slide set 21
Queuing Systems
Variety of properties of queues one might want to investigate:
mean number of individuals in the system
mean queue length
fraction of cust
Stat 330 (Spring 2016): Homework 7
Due: March 22, 2017
Show all of your work, and please staple your assignment if you use more than one sheet. Write your name,
the course number and the section on every sheet. Problems marked with * will be graded and on
Stat 330 (Spring 2017): Homework 1
Due: January 18, 2017
Show all of your work, and please staple your assignment if you use more than one sheet. Write your name,
the course number and the section on every sheet. Problems marked with * will be graded and
Slide set 14
Stat 330 (Spring 2017)
Last update: February 5, 2017
Stat 330 (Spring 2017): slide set 14
Gamma Example (Baron 4.7)
Compilation of a computer program consists of 3 blocks that are processed
sequentially, one after the other. Each block takes
Slide set 16
Stat 330 (Spring 2017)
Last update: February 28, 2017
Stat 330 (Spring 2017): slide set 16
Stochastic Processes
A stochastic process is function of both time and experiment outcomes:
Xt() = X(t, ) for t T ,
where T is a set of possible time
Slide set 18
Stat 330 (Spring 2017)
Last update: March 8, 2017
Stat 330 (Spring 2017): slide set 18
Poisson Process
Consider a continuous-time stochastic process cfw_Xt, where at each time
t [0, ), Xt represents the number of hits on a webpage. This is a
Slide set 12
Stat 330 (Spring 2017)
Last update: February 16, 2017
Stat 330 (Spring 2017): slide set 12
Continuous Random Variables
All properties of discrete RVs have direct counterparts for continuous RVs.
One basic difference: Summations used in the ca
Slide set 13
Stat 330 (Spring 2017)
Last update: February 22, 2017
Stat 330 (Spring 2017): slide set 13
Exponential Distribution
This distribution is commonly used to model waiting times between
occurrences or lifetimes of electrical or mechanical devices
Slide set 17
Stat 330 (Spring 2017)
Last update: March 6, 2017
Stat 330 (Spring 2017): slide set 17
Example 1
Shared Device. A computer is shared by 2 users who send tasks to it
remotely and work independently. Each minute, any connected user may
disconne
Stat 330 (Spring 2017): Homework 8
Due: March 29, 2017
Show all of your work, and please staple your assignment if you use more than one sheet. Write your name,
the course number and the section on every sheet. Problems marked with * will be graded and on
Spring 2017
Statistics 330
Practice Exam II
(100 points)
Please write your first and last name here:
Name
Instructions:
Partial credit will be given only if you show your work.
Reason out your answers. In many cases, a line or two of justification is
en
Spring 2017
Statistics 330
Exam II
(100 points)
Please write your first and last name here:
Name
Instructions:
Partial credit will be given only if you show your work.
Reason out your answers. In many cases, a line or two of justification is
enough.
Th
Stat 330 (Spring 2017): Homework 8
Due: March 29, 2017
Show all of your work, and please staple your assignment if you use more than one sheet. Write your name,
the course number and the section on every sheet. Problems marked with * will be graded and on
Spring 2017
Statistics 330
Practice Exam I
(100 points)
Please write your first and last name here:
Name
Instructions:
Partial credit will be given only if you show your work.
Reason out your answers. In many cases, a line or two of justification is
eno
Slide set 22
Stat 330 (Spring 2016)
Last update: March 29, 2017
Stat 330 (Spring 2016): slide set 22
Printer Example
Printer Queue (continued) A certain printer gets jobs with a rate of 3 per
hour. On average, the printer needs 15 min to finish a job.
Let
Slide set 20
Stat 330 (Spring 2017)
Last update: March 22, 2017
Stat 330 (Spring 2017): slide set 20
Balance Equations
Remember that k k is the long-run rate of transitions from k k + 1 and
k k is the long-run rate of transitions from k k 1.
Flows: The Fl
Stat 330 (Spring 2016): Homework 7
Due: March 22, 2017
Show all of your work, and please staple your assignment if you use more than one sheet. Write your name,
the course number and the section on every sheet. Problems marked with * will be graded and on
Stat 330 (Spring 2017): Homework 6
Due: March 1, 2017
Show all of your work, and please staple your assignment if you use more than one sheet. Write your name,
the course number and the section on every sheet. Problems marked with * will be graded and one