STAT 241/251 Assignment
Winter 2015/16 Term 2
Please attach a cover sheet (posted on Connect) when you hand in the assignment.
Due: 4pm on Friday April 1 in the STAT241/251 dropbox in ESB
Total marks: 30 marks
Instructions: Typewritten answers are preferr
Statistics 241/251: Lab 4 Handout
Lab Section: Llil Group number: [
it First name _{ Last name Student #
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STAT 241/251 - Chapter 8: Statistical Modeling and
Inference
In this chapter we talk about taking a sample from a population, and using this sample
to make inferences about the population.
Note: Chapters 3-7 of this course discussed the probability of obs
STAT 241/251 Assignment 3
You must use the pre-formatted cover sheet when you hand in the assignment.
Date Due: Thursday 28 Jun by 7 pm in STAT 241/251 dropbox at LSK (dropbox is on the 3rd
oor, close to the Department of Statistics main oce.)
Total Marks
Use the following to answer questions 12:
You wish to compare the prices of apartments in two neighboring towns. You take a simple
random sample of 12 apartments in town A and calculate the average price of these apartments.
You repeat this for 15 apartme
STAT 241/251 Assignment 2
You must use the pre-formatted cover sheet when you hand in the assignment.
Date Due: Thursday 07 Jun by 7 pm in STAT 241/251 dropbox at LSK (dropbox is on the 3rd
oor, close to the Department of Statistics main oce.)
Total Marks
STAT 241/251 Assignment 2
You must use the pre-formatted cover sheet when you hand in the assignment.
Date Due: Thursday 07 Jun by 7 pm in STAT 241/251 dropbox at LSK (dropbox is on the 3rd
oor, close to the Department of Statistics main oce.)
Total Marks
Ch. 5 - The Normal Distribution
1
Definition and Properties
Normal Distribution:
If a continuous random variable X follows a normal distribution with mean and
standard deviation , we write
X N (, 2 )
The normal distribution has a continuous density summ
Statistics 241/251: Lab 6 Handout
Lab Section: _
Group number: _
# First name
Last name
Student #
1
2
3
4
Students should write the name they are registered with.
STAT 241/251
Lab 5 Solutions
Question 1
part a
0.08
0.06
0.00
0.02
0.04
Density
0.10
0.12
0.14
x <- runif(n = 500, min =5, max=15) # draw a random sample of size 500
hist(x, prob=TRUE, breaks=20)
# construct a histogram
6
8
10
12
14
x
The histogram is app
STAT 241/251
Lab 6
Solutions
Question 1
# sample size & the number of samples.
n <- 10
N <- 100
# Normal distribution (from which samples are drawn) parameters.
mu <- 15
sigma <- 2
# matrix to store samples and sample variances.
samples <- matrix(data = N
Statistics 241/251: Lab 4 Solution
Lab Section:
#
1
2
3
Group Number:
First Name
Last Name
Student Number
Please write down your answers neatly and do show your work (including R code).
Please use proper notations in your solusions.
Part 1
1. Calculate th
Statistics 241/251: Lab 6 Exercises Inference (Part I): Point Estimates
Important reminders:
1. Keep track of time so that you will finish on time.
2. Recall the distinction between the sample size, and the number o
Statistics 241/251: Lab 4 Exercises
Part 1: Maximum
System I consists of three components connected in parallel (see Figure 1). The lifetimes (in hours) of the components independently follow an exponential distribution
with mean 50.
A
B
C
Figure 1: Struc
Statistics 241/251: Lab 5 Exercises Central Limit Theorem
Important reminders:
1. Keep track of time so that you will finish on time.
2. Recall the distinction between the sample size, and the number of samples.
Ch. 8 - Statistical Modelling and Inference
Population vs. sample, parameter vs. statistic
Population: contains the entire collection of individuals we want to study.
Sample: subset of individuals selected randomly from the population.
Parameter: characte
Ch. 6 - Some Probability Models
First recall some concepts from Ch. 4.
Discrete Random Variables:
For discrete random variables, we have probability mass functions (pmf) (denoted f (x),
which gives the probability for each possible value x of X. Recall, f
Example 1. Police report that 78% of drivers stopped on suspicion of drunk
driving take a breath test, 36% take a blood test and 22% receive both. What
is the probability that a randomly selected drunk driving suspect receives:
(a) a test?
(b) exactly one
Ch 7 Example:
Suppose birthdays in a large population are distributed
throughout the year so that the probability of a randomly
chosen persons birthday occurring in any particular month is
!
.
!"
a) If 6 people are randomly chosen, find the probability
th
Problem 8.2 from course text
Example 6. The time for a worker to repair an electrical instrument is a normally distributed N (,u, 02)
random variable measured in hours, where both ,u and a2 are unknown. The repair times for 10 such
instruments chosen at r
Yuxiang Huang
Assignment HW04 due 06/11/2017 at 11:59pm PDT
STAT241-251-ALL 2017S1
require
1. (3 points) The time it takes Alice to walk to the bus stop
P(S 60) = P(Z 60(12+6+24+18)
).
2+1+25+4
from her home is Normally distributed with mean 12 minutes
an