Discrete Distribution
Discrete Random Variables: ,uX = pr(x). a; = 2(x — ,LiX)2 p(x) = 2x3 p(x) — “if, (7X 2 OX
(Note: population mean and variance VS the sample mean and sample variance; counting rules)
Binomial Distribution BIN(n,p1:
H I
x:0,1,2,.,n; (F
Data exploration for one sample
Histogam: Class: [(1, b), a = lower class boundary (LCB), b = upper class boundary ( UCB)
Class Width: CW: UCB - LCB or CW: distance between successive midpoints
LCB I UCB
Class Midpoint: mi : —; LCB m; — 0.5(CW), UCB
Sampling Distribution and Inference
Distribution of the Sample Mean X :
Given: Independent identically distributed random variables XL, X2. . X»- with mean in and
standard deviation 0' [i.e. a random sample of size n from a population with mean y and
st
Stat 1060 - Formulae Sheet
Descriptive Statistics: Given a SRS X1 , X2 , , Xn ,
1. Sample mean:
n
i=1
X=
Xi
n
.
2. Sample variance:
2
S =
n
i=1
Xi X
n1
2
n
i=1
2
or S =
3. Sample standard deviation: S =
Xi2 n(X)2
or S 2 =
n1
n
i=1
Xi2
(
n
i=1
2
Xi )
n
n1
1
Statistics 1060 - Midterm Exam
Department Mathematics and Statistics - Dalhouise University
Practice version for Winter 2015
Time: 7:00 - 8:30 pm
Last name
First name (Clear and neat)
Name
: -
Student B00#
: -
NET ID
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Signature
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This midterm exam
Math and Stat Department
Dalhousie University
Stat 1060
Formula Sheet and Tables Booklet
Do not write anything on this booklet
Stat 1060 - Formulae Sheet
Descriptive Statistics: Give a SRS X1 , X2 , , Xn ,
1. Sample mean:
n
X=
i=1
Xi
n
.
2. Sample varianc
Life on the Front Line
From the ED's Desk
Brian Slous (M.A.C.S.)
Major
Executive Director
It is said in Canada that we have two
seasons: "winter" and "construction". This is
certainly the case in some of our colder
climates, but outside our own doors we s
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6 tips for a simpler way to work
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QUESTION 1
Suppose that the waiting time until a bus arrives at a bus stop has a
uniform distribution on the interval 0 and 30 minutes. What is the probability that you will have to wait 20 minutes or more for the bus?
QUESTION 2
6. A multiple choice exam