Due date: 9/30/2014
1. A small brewer has two bottling machines. Machine A produces 75% of the bottles, and
machine B produces 25% of the bottles. 1 out of 20 bottles filled by A is rejected for
some reason, wile 1 out of every 30 bottles fro
Handout assignment I
Due date: 9/13/2013
1. MBS 2.24 page 49
Solution for Handout 1
Or you can use Box plots
Handout assignment III
Due date 10/7/14
1. A survey by KRC research for U.S News reported that 37% of people plan to spend
more on eating out after they retire. If eight people are randomly selected, determine the
a). Exactly five
A survey of business students who had taken the Graduate Management
Admission Test (GMAT) indicated that students who have spent at least five
hours studying GMAT review guides have a probability of 0.85 of scoring
above 400. Students who did not review h
1) Suppose that in the packaged-cereals industry, 29% of all vice presidents hold MBA
degrees, 24% hold undergraduate business degrees, and 8% hold both. A vice president is
to be selected at random.
(a) What is the Experiment? (Hint: It is not picki
General Steps for doing probability problems:
Step 1: Identify Experiment and List the Sample Space (if Sample Space is very large, then list
enough elements to make sure you understand what the elements look like)
- Part of this Step is deciding if your
Example in computing percentiles by hand! (use sample of 20)
Statistics can be generalized (to some degree) to be the following:
Step 1: Collect Sample(s).
Step 2: Based on the Sample(s), come up with the probability of whatever youre interested in
Suppose you are holding a 13-card deck that is all hearts! So you have 2ofhearts,
3ofhearts, , Aceofhearts. Suppose you pick one card at random.
(a) Write out the Sample Space completely.
(b) Do all Sample Points have the same probability
Measures of Central Tendency:
Measurements that describe the centering of the data
around some numerical values.
These values include but are not limited to: Mean, Median, Maximum, Minimum
Measures of Variability:
Measurements that describe the spread of
It is very important to be able to understand what goes into a Sample Space.
If your experiment is tossing a fair coin twice,
The sample space is not cfw_H,T, its cfw_(H,H),(H,T),(T,H),(T,T) if order matters
Remember that a sample space lists the outcomes
Unions, Intersections, Complements
To compute P(AUB), first compute AUB, then find probabilities of the points in AUB, then sum
Same thing for P(AintersectB) or P(Ac).
Remember that when your asked to find the P(E), your job as the Statistician
3.54 Do all obvious calculations to show whether there is independence
3.66 Do all necessary calculations to show whether there is independence
Find the probability that exactly 2 coins come up heads given that at least 2 coins come
Your Conditional Sample Space should only have those points where at least 2 Heads come up
The probabilities of the points in the Conditional Sample Space cfw_(H,H,H,H), (H,H,H,T), etc
where order matters is 1/11 since there are 11 poin
Recall the conditional probability formula:
Note that P(AintersectB)=P(B|A)P(A)
Thus we have the first version of Bayes Rule:
This is useful when we know P(B|A) and wish to figure out P(A|B).
So far in probability we have considered Experiments consisting of various outcomes.
The outcomes have had many forms including
(H,T,H) - the outcome of Heads, Tails, Heads when flipping a coin 3 times.
(2H, 3S)- the outcome of picking two cards from a de
A Random Variable can be described in 2 different ways:
1) By the experiment: The Random Variable is given by an Experiment (for which outcomes
and probability of outcomes is either given or must be figured out).
Example: X= The average return of a portfo
1. Please answer each of the following as I (impossible) or CH (could happen). For example,
the statement The average of a set of 10 numbers was 14.6. gets the response CH. The
statement The variance of a set of 10 numbers was 9.4. gets the response I.
Basic Minitab Instructions:
To load an (.MTP, .MTW, or .XLS) data set into Minitab simply click on File/Open Worksheet
and find the data set (The location of the data set will depend on where you saved it on your
computer and whether or not you are using
Log in with Stern ID (May have to download and install Citrix XenApp)
Copy and paste
You can copy data from Excel worksheet and paste to Minitab worksheet.
when copying and pasting, make sure the titles get
Handout assignment I
Due date: 9/16/2014
1. 12ed. MBS 2.26 page 60 (11ed. MBS 2.24 page 49)
2. A fast-food restaurant monitors its drive-thru service times electronically to
ensure that its speed of service is meeting the companys goals. A sam
Exam 1 handout
1. A fast-food restaurant monitors its drive-thru service times electronically to ensure that its
speed of service is meeting the companys goals. A sample of 28 drive-thru service times
was taken and the stem-and-leaf display below;
1. Describe data using graphs
2. Describe data using numerical measures
Solutions for handout Chapter 4.2
1. A national trend predicts that women will account for half of all business travelers in the next
three years. To attract these women business travelers, hotels are providing more amenities
that women particularly like.
3.24 a. Let H = Hyundai Elantra, T: Toyota Prius, and S = Subaru Forrester. All possible rankings are as
follows, where the first car listed is ranked rst, the second car listed is ranked second, and the third.
car listed is ranked third:
HES H61?" 3,1353
2.34 Using MINTTAB, the stem-and-leaf display for the data is:
Stem-and-Leaf Display: Time
Stemandleaf of Time N = 25
Leaf Unit = 1.0
The numbers in bold represent delivery times asso
P(B) = 9/306
P(E) = 188/306
P(D) = 109/306
E : At least 1 but not all features installed in the home