ENGR3341: Probability Theory and Statistics
Fall 2016
Homework #6
Answer Key
7.3 End of Chapter Problems 2-6
2. The number of accidents in a certain city is modeled by a Poisson random variable
with average rate of 10 accidents per day. Suppose that the n
ENGR3341: Probability Theory and Statistics
Spring 2017
Practice Problems Set 1
1. In a gathering of students, 40% of students in a class major in EE, 50% major in CS and the
remaining 10% major in Math. 20% of Engineering students, 10% of the CS students
Name:
ENGR3341: Probability Theory and Statistics
Fall 2016
Homework #2
1. (10pts) You have a six-sided die that you roll once. Let Ri denote the event that the roll is i. Let
Gi denote the event that the roll is greater than j. Let E denote the event tha
Examination Booklet
MATH 2420: Dierential Equations and Applications
Sample Exam 1: Solutions
1. Solve the following initial value problem
dy = 2y x + 5 ,
dx
2x y 4
y(1) = 1.
Solution: We want to transform the equation into a homogeneous equation. Solvin
Name:
ENGR3341: Probability Theory and Statistics
Fall 2016
Homework #1
1. When working with real numbers, our universal set is . Find each of the following sets:
a. [6,8] U [2,7)
b. [6,8] [2,7)
c. [0,1]C
d. [6,8] (2,7)
1
Name:
2.
ENGR3341: Probability Th
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v WM@%
3 42
a4 =
L, 6 Q) F00": RX?
@3 [l] A manufacturing company manufactures 40% of its products by process A, the rest by process
B. It is
Equation Sheet of Exam #2
E[ g ( X )] g ( x ) PX ( x )
x
E[ g ( X )]
g ( x) f
X
( x )dx
PX ( x ) PX ,Y ( x, y )
y
f X ( x)
f X ,Y ( x, y )dy
f ( x ) ( x a )dx f (a )
Families of Continuous Random Variables
If X is Exponential(),
, 0
() = cfw_
0
,
X
Solutions for HW2
ENGR 3341, 2014 Fall
Possible points and solution for each problem:
2.1.1-2 pt
(a)-1 pt
(b)-1 pt
2.1.6-4 pt
(a)-2 pt
(b)-2 pt
2.2.4-3 pt
a) )-1 pt
P[F1]=0
b) )-1 pt
P[F4]=12/12*9/11*6/10*3/9=0.16
c) )-1 pt
P[F2]=4C2*3C2*3C2/12C4=0.11
2.3
Solutions for HW3
ENGR 3341, 2014 Fall
1.3
There are exactly 50 equally likely outcomes: s51 through s100. Each of these outcomes has
probability 0.02. Then,
P[cfw_s100] = 0.02
P[A] = P[cfw_s90, . . . , s100] = 11 0.02 = 0.22
P[F] = P[cfw_s51, . . . , s59
Solutions for HW4
ENGR 3341, 2014 Fall
3.2.4-4 pts
(a)-2 pts
P[H] = q + q(1-q) + q(1-q)2=0.14
Or
P[H] = 1-(1-q)3=0.14
(b)-2pts
q(1 q) n 1 n 1, 2
PN (n) (1 q) n 1 n 3
0
otherwise
3.2.8-4 pts
The probability that a caller fails to get through in three tries
Column Statistics
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EE 334.001 Midterm
Problem 1.
a. (10) Suppose the probability that the daily train from Ft. Worth to Lubbock will arrive late is .7,
independent of the day. What is the probability that the train will arrive on time at least 5 days
of the week?
b. (10) Su
Reflection #5
Yu Chi Huang (1002833133)
There are two presentation topics that attracted me the most:
Group 1 talked about TTC token holder, which resolved the problem of the
storage of those small coins in pockets or wallets. The design is to place token
Reflection #5
Yu Chi Huang (1002833133)
In the case of Nestles refrigerated pizza, we take a look at the process of
conducting a qualitative research. Unlike in previous cases, where quantitative
research is mainly used, this case illustrates how the qual
Questionnaire design:
5-10 min to fill out
grab people on the street: shorter, around 5 min
give good opportunity to respond
too simple -> not helpful
question could guide interviewees mind, and thus cannot figure out how
they really think
when people are