1.State whether the variable is discrete or continuous.
The # of keys on each student's key chain.
2.Decide whether the experiment is a binomial experiment. Explain why by citing the properties of binomial experiments. Testing a pain reliever using 20 people to determine if it is effective. The random variable represents the number of people who find the pain reliever to be effective. 3.Use the binomial probability distribution to answer the following probability questions. According to government data, the probability that an adult under 35 was never married is 25%. In a random survey of 10 adults under 35, what is the probability that: Exactly 5 were never married?

4.Use the binomial probability distribution to answer the following probability questions. According to government data, the probability that an adult under 35 was never married is 25%. In a random survey of 10 adults under 35, what is the probability that: No more than two were never married?

5.True or False: Given the basic rules of Probability, P(A) can be equal to negative 0.18 or - 18%. 6.We have the random variable X = {3, 6} with P(3) = .15 and P(6) = .85. Find E(X).

7.Use the binomial probability distribution to answer the following probability questions. According to government data, the probability that an adult under 35 was never married is 25%. In a random survey of 10 adults under 35, what is the probability that: Between 4 and 6 were never married (inclusive)?

8.Use the Poisson probability table in the back of your text to answer the following probability questions. Amazon.com receives an average of 5 sales per second through their Internet site. What is the probability that: They will get exactly 8 sales during the next second?

9.We have a Poisson distribution with mean = 3. Find P(X = 2), P(X < 2), find P(X 2), the variance, and standard deviation. 10.How many ways can a committee of 7 be chosen from 20 people? 11....

...techniques.
Firstly we look at data analysis. This approach starts with data that are manipulated or processed
into information that is valuable to decision making. The processing and manipulation of raw
data into meaningful information are the heart of data analysis. Data analysis includes data
description, data inference, the search for relationships in data and dealing with uncertainty
which in turn includes measuring uncertainty and modelling uncertainty explicitly.
In addition to data analysis, other decision making techniques are discussed. These techniques
include decision analysis, project scheduling and network models.
Chapter 1 illustrates a number of ways to summarise the information in data sets, also known as
descriptive statistics. It includes graphical and tabular summaries, as well as summary measures
such as means, medians and standard deviations.
Uncertainty is a key aspect of most business problems. To deal with uncertainty, we need a basic
understanding of probability. Chapter 2 covers basic rules of probability and in Chapter 3 we
discuss the important concept of probability distributions in some generality.
In Chapter 4 we discuss statistical inference (estimation), where the basic problem is to estimate
one or more characteristics of a population. Since it is too expensive to obtain the population
information, we instead select a sample from the population and then use the information in the
sample to infer the...

...diseases such as diabetes and heart disease. Some critics called the study flawed. The National Center for Policy Analysis, a Washington think tank that backs a free-market approach to health care, said researchers overstated the death risk and did not track how long subjects were uninsured. Woolhandler said that while Physicians for a National Health Program supports government-backed coverage, the Harvard study's six researchers closely followed the methodology used in the 1993 study conducted by researchers in the federal government as well as the University of Rochester in New York. The Harvard researchers analyzed data on about 9,000 patients tracked by the U.S. Centers for Disease Control and Prevention's National Center for Health Statistics through the year 2000. They excluded older Americans because those aged 65 or older are covered by the U.S. Medicare insurance program. "For any doctor ... it's completely a no-brainer that people who can't get health care are going to die more from the kinds of things that health care is supposed to prevent," said Woolhandler, a professor of medicine at Harvard and a primary care physician in Cambridge, Massachusetts.
(Editing by Xavier Briand)
Answer the following questions 1 - 4 based on the article mentioned above:
1. Is this study a descriptive or inferential? Explain your answer.
2.What research question was the author trying to answer?
3. Were the data obtained from a survey or...

...
Statistical Analysis
BU 510 601
2 Credit Hours
Fall 2013
Instructor: Shrikant Panwalkar Office phone: (410) 234 9456
Office Hours: By appointment panwalkar@jhu.edu
Required Text and Learning Materials
Business Statistics in Practice; 6th Edition, McGraw-Hill Higher Education,
ISBN-13 978-0-07-340183-6 (There are other ISBN numbers)
Authors: Bowerman, Bruce; O'Connell, Richard. (the cover shows a third author – Murphree)
Please note: 7th edition is available, however, we will NOT be using the 7th edition – please purchase the 6th edition
Additional learning material may be posted from time to time
Blackboard Site
A Blackboard course site is set up for this course. Each student is expected to check the site throughout the semester as Blackboard will be the primary venue for outside classroom communications between the instructors and the students. Students can access the course site at https://blackboard.jhu.edu. Support for Blackboard is available at 1-866-669-6138.
Course Evaluation
As a research and learning community, the Carey Business School is committed to continuous improvement. The faculty strongly encourages students to provide complete and honest feedback for this course. Please take this activity seriously because we depend on your feedback to help us improve so you and your colleagues will benefit. Information on how to complete the evaluation will be provided towards the end of the course....

...Maria Liticia D.
BSEd III-A2
REFLECTION
The first thing that puffs in my mind when I heard the word STATISTIC is that it was a very hard subject because it is another branch of mathematics that will make my head or brain bleed of thinking of how I will handle it. I have learned that statistic is a branch of mathematics concerned with the study of information that is expressed in numbers, for example information about the number of times something happens. As I examined on what the statement says, the phrase “number of times something happens” really caught my attention because my subconscious says “here we go again the non-stop solving, analyzing of problems” and I was right. This course of basic statistic has provided me with the analytical skills to crunch numerical data and to make inference from it. At first I thought that I will be alright all along with this subject but it seems that just some part of it maybe it is because I don’t pay much of my attention to it but I have learned many things. I have learned my lesson.
During our every session in this subject before having our midterm examination I really had hard and bad times in coping up with this subject. When we have our very first quiz I thought that I would fail it but it did not happen but after that, my next quizzes I have taken I failed. I was always feeling down when in every quiz I failed because even though I...

...of 1000 flights and proportions of three routes in the sample. He divides them into different sub-groups such as satisfaction, refreshments and departure time and then selects proportionally to highlight specific subgroup within the population. The reasons why Mr Kwok used this sampling method are that the cost per observation in the survey may be reduced and it also enables to increase the accuracy at a given cost.
TABLE 1: Data Summaries of Three Routes
Route 1
Route 2
Route 3
Normal(88.532,5.07943)
Normal(97.1033,5.04488)
Normal(107.15,5.15367)
Summary Statistics
Mean
88.532
Std Dev
5.0794269
Std Err Mean
0.2271589
Upper 95% Mean
88.978306
Lower 95% Mean
88.085694
N
500
Sum
44266
Summary Statistics
Mean
97.103333
Std Dev
5.0448811
Std Err Mean
0.2912663
Upper 95% Mean
97.676525
Lower 95% Mean
96.530142
N
300
Sum
29131
Summary Statistics
Mean
107.15
Std Dev
5.1536687
Std Err Mean
0.3644194
Upper 95% Mean
107.86862
Lower 95% Mean
106.43138
N
200
Sum
21430
From the table above, the total number of passengers for route 1 is 44,266, route 2 is 29,131 and route 3 is 21,430 and the total numbers of passengers for 3 routes are 94,827.
Although route 1 has the highest number of passengers and flights but it has the lowest means of passengers among the 3 routes. From...

...compliments the regular mathematics and therefore both are tested in primary schools. Mathematics is the written application of operation. It teaches students to think clearly, reason well and strategize effectively. Mental Mathematics is the ability to utilise mathematical skills to solve problems mentally. The marks scored by pupils generate statistics which are used by teachers to analyse a student’s performance and development of theories to explain the differences in performance.
The Standard 3 class is where the transition from junior to senior level occurs where teachers expect the transference of concrete to abstract thinking would have occurred.
A common theory by many primary school teachers is ‘Students perform better in Mathematics than Mental math. Mental math is something that has to be developed and involves critical thinking. Mental math requires quick thinking and the student must solve the problem in their minds whereas in regular mathematics, the problem can be solved visually. Therefore, teachers should take these factors into consideration while testing and marking students in these areas.’
In this study, the statistics of 30 students of a standard 3 class of San Fernando Boys’ Government School will be analysed to determine the truth of this theory.
DATA COLLECTION METHODS
Mathematics and mental mathematics marks of term 1 of the class of 2013 were obtained from a Standard 3 teacher of San Fernando Boys’...

...1. An article in USA Today stated that ‘Internal surveys paid for by directory assistance providers show that even the most accurate companies give out wrong numbers 15% of the time.” Assume that you are testing such a provider by making 10 requests and also assume that the provider gives the wrong number 15% of the time.
a. Construct a probability distribution to model the situation described above.
It is given the percentages for us and also n=10 so automatically we have to work with Binomal Distribution and in our case we have probability of success is a wrong number.
b. Find the probability of getting exactly one wrong number.
P (1) = 0.347 or approximately 35% is the probability of getting exactly one wrong number.
c. Find the probability of getting at most one wrong number.
P (0) + P (1) = 0.544 or approximately 54% is the probability of getting at most one wrong number
d. Find the expected number of ‘wrong numbers.’
E(X) = Σ x *p(x) = 1.5
The expected number of “wrong numbers” is 1.5 which is a measure of central tendency that is usually labeled as the mean. In other words the “average” number of “wrong numbers” is 1.5.
2. The eating habits of Americans are continuously monitored by social scientists who are watching for changing trends and their effects on such factors as the economy and family life. The accompanying illustration is based on one form USA Today and a survey of adult Americans. It shows that 8% of...

...Statistics Vocabulary
Chapter 1
Data are collections of observations ( such as measurements, genders, survey responses)
Statistics is the science of planning studies and experiments, obtaining data, and then organizing, summarizing, presenting, analyzing, interpreting, and drawing conclusion based on the data
A Population is the complete collection of individuals (scores, people, measurements and so on) to be studied. The collection is complete in the sense that includes ALL of the individuals to be studied
A census is the collection of data from EVERY member of the population
A sample is a subcollection of member selected from a population
A Parameter is a numerical measurement describing some characteristic of a population
A statistic is a numerical measurement describing some characteristic of a sample
Quantitative (or numerical) data consist of numbers representing counts or measurements
Categorical (or qualitative or attribute) data consist of names or labels that are not numbers representing counts or measurements
Discrete data result when the number of possible values is either a finite number or a “countable” number. (That is, the number of possible values is 0 or 1 or 2 and so on
Continuous (numerical) data result from infinitely many possible values that correspond to some continuous scale that covers a range of values without gaps, interruptions, or jumps
The nominal level of measurement is characterized by data...