Introduction to Statistics with Calculus (Stat1211)
STAT 4606

Spring 2008
W1211 Introduction to Statistics
Lecture 8
Feb. 29, 2016
Joint Probability Distributions for Discrete RVs
Let X be the number of customers in the express line of a super
market and Y be the number of customers in the superexpress line at exactly the same
Introduction to Statistics with Calculus (Stat1211)
STAT 4606

Spring 2008
W1211 Introduction to Statistics
Lecture 3
Jan. 27, 2016
A stereo manufacturer buys 10,000 electronic components from a wholesaler who
uses three suppliers. As it turns out the wholesaler sent 7000 from supplier A,
2000 from supplier B, 1000 from supplie
Introduction to Statistics with Calculus (Stat1211)
STAT 4606

Spring 2008
W1211 Introduction to Statistics
Lecture 7
Feb. 24, 2016
Nonstandard Normal Distributions
When X ~ N(, 2), probabilities involving X are
computed by standardizing. The standardized variable is
Z=(X )/
Subtracting shifts the mean from to zero, and then
Introduction to Statistics with Calculus (Stat1211)
STAT 4606

Spring 2008
W1111 Introduction to Statistics
Lecture 5
Feb. 10, 2016
Bernoulli Random Variable
Definition of Bernoulli random variable:
Possible values are 0 and 1
pmf is p(1) = p
p(0) = 1p
E ( X ) = 1 p + 0 (1 p) = p
V ( X ) = (1 p ) 2 ( p ) + (0 p ) 2 (1 p ) =
Introduction to Statistics with Calculus (Stat1211)
STAT 4606

Spring 2008
W1211 Introduction to Statistics
Lecture 4
Feb. 3, 2015
Random Variables
A random variable is an assignment of a
number (in a meaningful way) to each possible
outcome of a random experiment
Flip three coins
S = cfw_HHH, HHT, HTH, HTT, THH, THT, TTH, TT
Introduction to Statistics with Calculus (Stat1211)
STAT 4606

Spring 2008
W1211 Introduction to Statistics
Lecture 10
March 9, 2016
General Method For Deriving a Confidence Interval
Take any random variable X and denote the pmf or pdf as f(x; )
is a parameter of the probability distribution that we want
to estimate using a co
Introduction to Statistics with Calculus (Stat1211)
STAT 4606

Spring 2008
W1111 Introduction to Statistics
Lecture 9
March 2, 2016
Parameters versus Statistics
A parameter is a numerical value that describes a
particular characteristic of the probability distribution of
a random variable across a population.
NB: parameters a
Introduction to Statistics with Calculus (Stat1211)
STAT 4606

Spring 2008
W1211 Introduction to Statistics
Lecture 12
April 4, 2016
In a true random number table, if we pick a digit at random the probability that it is
an even digit (0,2,4,6,8) is .5. Im told that the set of random digits on the next slide
came from a true ran
Introduction to Statistics with Calculus (Stat1211)
STAT 4606

Spring 2008
W1211 Introduction to Statistics
Lecture 11
March 30, 2016
Survey Results
In a recent survey (year?), more than 3,000 people in 14 study cities
were interviewed by cell phone and land line between Feb. 19 and March
29. 66.6% of respondents said they app
Introduction to Statistics with Calculus (Stat1211)
STAT 4606

Spring 2008
W1211 Introduction to Statistics
Lecture 2
Jan. 25, 2016
Pick A Card
Pick a single card (blindly) from a well
shuffled deck (standard 52 card deck)
This example describes an experiment
(loosely speaking)
The result of the pick, any one of 52 cards
(4 s
Introduction to Statistics with Calculus (Stat1211)
STAT 4606

Spring 2008
W1211 Introduction to Statistics
Lecture 6
Feb. 15, 2016
Suppose X is the time it takes to perform a certain task measured in minutes. X is a
continuous random variable that can take values in the interval x 11.5 minutes.
However, we can only measure to