6. Let x and Y hemrandomvmiahlu. x hauaomeuic
dimhlonnimmeprohabityofW"p-l/3. Y huaPoissun
dim'huonwithmunl 11min,
1&6)
Poi-Y) - 1Px(k)Py(F-) Eleni). aka-3
m t-l -3 W t '3
_-3. 2 -e. 2_ -L.2-
a g] k! 2[ k! 1] 2 [e 1]
1: Find PHI-)-
Ik-l .3k -3
P(x-
In Experiment A the chidren themsmres were awed to choose what level of riicuity they wanted.
in Experiment B the chidren were rzrrnarzlrzlmi'g,f assigned to the clillicuit'gcr levels.
111e Faults frum the 2 experiments are shown in the 2 scatter plots be
STAT 400
1.
More Discrete Practice
Ravat
Let X be a discrete random variable with p.m.f.
k
3
p ( k ) = c ,
4
k = 5, 6, 7, 8, .
a)
Find the value of c that makes this is a valid probability distribution.
b)
Find P ( X is even ).
c)
Find the moment-generati
Statistics 400 / Mathematics 463
Practice Exam 1 (BL1) Spring 2012
75 min Version A
Solutions
1. True or False (No need to explain) [14 points]
(a) For a continuous random variable, the density function should be continuous.
F. For a continuous random var
STAT 400
1.
Basic Discrete Practice
Ravat
Homer Simpson is going to Moes Bar for some Flaming Moes. Let X denote
the number of Flaming Moes that Homer Simpson will drink. Suppose X has
the following probability distribution:
x
f(x)
0
0.1
1
0.2
2
0.3
3
0.3
STAT 400
Name
Spring 2014
ANSWERS
.
NetID _
Version A
Please circle your discussion section.
1
2
3
AD2
AD3
AD4
We 1:00
335 MEB
Tu 4:00
156 Henry
We 4:00
140 Burrill
Tu 11:00
161 Noyes
Xichen Huang
Xichen Huang
Xichen Huang
William Biscarri
CD1
CD2
CD3
CD4
STAT 400
1.
Ravat
More Joint Practice!
Let X and Y have the joint probability density function
3
x y 2,
16
f X, Y ( x, y ) =
0 < x < K, 0 < y < K.
a)
Find the value of K so that f X, Y ( x, y ) is a valid joint p.d.f.
b)
Find P ( Y > 2 X ).
d)
Are X and Y
STAT 400
1.
Ravat
Continuous Practice
Suppose a random variable X has the following probability density function:
f ( x ) = sin x,
0<x<
2
,
a)
Find P ( X <
c)
Find the median of the probability distribution of X.
2.
Suppose a random variable X has the fol
Statistics 400 / Mathematics 463
Midterm Exam 1 (AL1) Version A
Oct, 4th 2013, Friday, 11:00-11:50am
Name:
VERSION A KEY
Discussion Section (circle one):
Student I.D. number
AD1
AD2
AD3
1. Please print your name and student ID number in the above space an
STAT 400
Spring 2011
Name _
Version A
AD1
AD2
AD3
AD4
Th 3 4
Th 3 4
We 4 5
We 4 5
135 MEB
137 Armory
329 Davenport
165 Noyes
PeiBei Shi
Jong Hyun Yun
Jong Hyun Yun
PeiBei Shi
Exam 1
Please circle your discussion section.
Be sure to show all your work; you
STAT 400
Fall 2011
Name
Version A
Exam 1
ANSWERS
.
BD1
BD2
BD3
BD4
Th 2:30
We 4:00
We 4:00
Th 2:30
317 DKH
165 Noyes
143 Altgeld
328 Armory
Srijan Sengupta
Srijan Sengupta
Robert Eisinger
Robert Eisinger
Please circle your discussion section.
Be sure to s
(A B) = A B .
Random Variables: X, Y , Z, (measurements on
Combination nCr =
Definition 1.2-1 Probability:
outcomes associated with random experiment).
(b) P (S) = 1.
curred).
(c) If A1 , A2 , are events and Ai Aj = i 6= j,
Relative Frequency: h = f
EXAM TWO: INFORMATION
STAT 400: Statistics and Probability I
Fall 2016, Ravat
Location and Time
Location: 103 Mumford Hall
Time: Friday, November 18, 11:00 PM - 11:50 PM
Exam Content
4.1 Joint Probability Distributions, Independent Random Variables
4.2
STAT400 / MATH463 Spring 2016
Statistics and Probability I (Section BL1)
Midterm I
February 23, 2016, Tuesday, 12:30pm1:50pm
Student ID:
Name:
BD1
BD2
BD3
BD4
sh is
ar stu
ed d
vi y re
aC s
o
ou urc
rs e
eH w
er as
o.
co
m
Discussion Section (circle one):
STAT 400 AL1
Fall 2016
Exam II
11/07/2016
Time Limit: 50 Minutes
Version: X
Last Name, First Name (Print):
NetID
Discussion Section
AD1
Wed 1:00
Albert
AD2
Wed 3:00
Albert
AD3
Thu 2:00
Kevin
CIRCLE BELOW
AD4
Thu 12:00
Kevin
This exam contains ? ? pages wh
EXAM 1 PRACTICE
Question 5
Suppose you decide to set the Power = 95%. That means you're setting = 5 % in
the tail, which translates into a middle area = 90 %, which corresponds to a |Z|
= 1.65
.
Submissions to practice problems are not permanently
recor
STAT 420
Spring 2016
Name
Version A
Page
ANSWERS
NetID _
Earned
Exam 2
Be sure to show all your work; your
partial credit might depend on it.
1
2
No credit will be given
without supporting work.
3
Place your answers
in the space provided.
4
The exam is cl
STAT 425 Spring 2014 Sections D1U, D1G
Homework 1
Please submit your assignment on paper, following the Formatting Guidelines for Homework
Submission. (Even if correct, answers might not receive credit if they are too difficult to read.)
Remember to inclu
STAT 425 Fall 2013 Sections S1U, S1G
Homework 4
Please submit your assignment on paper, following the Formatting Guidelines for Homework
Submission. (Even if correct, answers might not receive credit if they are too difficult to read.)
Remember to include
STAT 425 Spring 2014 Sections D1U, D1G
Homework 6
Please submit your assignment on paper, following the Formatting Guidelines for Homework
Submission. (Even if correct, answers might not receive credit if they are too difficult to read.)
Remember to inclu
STAT 425 Spring 2014 Sections D1U, D1G
Homework 2
Please submit your assignment on paper, following the Formatting Guidelines for Homework
Submission. (Even if correct, answers might not receive credit if they are too difficult to read.)
Remember to inclu
STAT 425 Spring 2014 Sections D1U, D1G
Homework 3
Please submit your assignment on paper, following the Formatting Guidelines for Homework
Submission. (Even if correct, answers might not receive credit if they are too difficult to read.)
Remember to inclu
STAT 425 Spring 2014 Sections D1U, D1G
Homework 5
Please submit your assignment on paper, following the Formatting Guidelines for Homework
Submission. (Even if correct, answers might not receive credit if they are too difficult to read.)
Remember to inclu
STAT 425 - FALL 2015 - Section T1U, T1G
Homework II Solution
October 7, 2015
Problem 1
Figure 1: Four Default Diagnostic plots of our model on SAT dataset
(a) The four default diagnostic plots are given in Figure 1.
(b) From the residuals vs. fitted value
STAT 425 - FALL 2015 - Section T1U, T1G
Homework VII Solution
December 7, 2015
Problem 1
(a) The summary of the logistic regression is given in Listing 1.
Listing 1: Summary Logistic regression
Call :
glm ( formula = cbind ( tumor , total - tumor ) ~ dose
STAT 425 - FALL 2015 - Section T1U, T1G
Homework VI Solution
November 25, 2015
Problem 1
(a) The summary of the Helium Football data is given in Listing 1 and in Figure 1.
Listing 1: Summary R output
Trial
Min .
: 1.0
1 st Qu .:10.5
Median :20.0
Mean
:20.
STAT 425 - FALL 2015 - Section T1U, T1G
Homework V Solution
November 11, 2015
Problem 1
(a) The summary of the model is given in Listing 1.
Listing 1: Summary R output
Call :
lm ( formula = log ( Displacement ) ~ Length + Beam )
Residuals :
Min
1Q
-0.4066