What is the difference between independent and dependent probabilities?

 
  
The assumptions are annually 5% increase in rent, no change in car payment, 2% increase in car insurance, and 15% increase in health insurance from 2010 to 2015.
What the bar chart shows you is trend in increasing cost of living over the 6 years that are captured here.
The pie charts show what percentage of the expenditure went into each category and as you see the health insurance increased from 24% to 34% while your rent went down from 47% to 44%, even though it also experienced an increase. Car payment went down as a percentage since it remained constant.
Please respond to this posting and share your thoughts. Use similar model for your work.
Words: 137
Pie vs Bar Chart.xlsx (31k)

What is the Law of Large Numbers? Give an example.

What is the difference between independent and dependent probabilities? Give an example of each.

Does a two-engine or four-engine airplane have a better chance of a successful flight trip. Why?

 The engines on an airplane operate independently, and the probability that any individual engine operates for a trip is 95%. An airplane will be able to safely complete a flight if at least half its engines operate for the entire trip. Does a two-engine or four-engine airplane have a better chance of a successful flight trip.  Why? 

Research manipulatives you could use to teach probability and how they would be helpful teaching probability to elementary and middle school students.

 
Research three to five manipulatives you could use to teach probability and how they would be helpful teaching probability to elementary and middle school students.
Write a minimum 350-word analysis of the use of manipulatives to teach probability that includes the following:
A brief introduction to probability
What is it? When is it used?
An explanation of each manipulative and how they can be used
Recommendations for using the identified manipulatives with a specific grade level
Research a minimum of three sources, including at least two peer-reviewed resources, that support your analysis.
Format your paper according to APA guidelines, including in-text citations, a reference page, and a title page

Analyze the strengths and limitations of descriptive statistics.

A.
Discuss your previous experience with descriptive statistics. For example, you have probably encountered descriptive statistics in an undergraduate course and in journal articles.
Analyze the strengths and limitations of descriptive statistics.
Finally, discuss how you might use descriptive statistics in your professional or academic future.
Remember to cite your supporting references.

B.

Define the term confidence interval (CI).
Specify the use of confidence intervals in statistical analysis.
Analyze why the Publication Manual of the American Psychological Association strongly recommends the inclusion of confidence intervals in study results.      

APA Style Central provides guidance in using proper APA style. 

What are the reasons that children have difficulty with fractions?

 
What are the reasons that children have difficulty with fractions? Explain how teachers can help. 50 words

 
What are some manipulatives that can help students comprehend fractions and integers better than calculating with pencil and paper? 50 words

 
Provide a fourth-grade level explanation of the meaning of the top number and the bottom number in a fraction. What type of activity could be used to help explain this concept to children while teaching them how to write fractions meaningfully? 50 words

 
Do children have an understanding of negative numbers? If so, what is their understanding? If not, how might you help them develop an understanding of negative numbers? 50 words

 lets say you give the students a problem like 3-4 to start with, maybe say, you have $3, but you need to pay your mom $4, what can you do?  Give the students manipulatives and allow them to work and talk together and see what happens.  Can you think of any other ways you could talk about it with students and give them a problem to work through on their own? 50 words

How does knowing how to calculate probability help the safety professional in measuring safety performance?

1)
How does knowing how to calculate probability help the safety professional in measuring safety performance? (No more than one paragraph.) 
2)
Question has two parts.  Suppose you a selecting a new vendor that inspects your facilities fire extinguishers, eye wash stations and stock first aid cabinets on a monthly basis.  You could pay them an up-front, lump sum of $48,000 for three years worth of service, or pay monthly installments of $1473 for 36 months.  In three years, at the end of the 36 month agreement, you will have paid $53,028.  Part I (4 Points). If one were to ignore the fact that the $48,000 could be put in a high-interest investment, and simply consider inflation at 2.5% annually over the next three years, what is the future value of the $48,000 lump sum in three years?  Part II (1 Point).  In one or two sentences, state whether it makes sense to pay the new vendor a lump sum, cash payment of $48,000 up front, and why. 

3)
Why is it important for safety professionals to know fundamental financial metrics when discussing safety performance?  (No more than one paragraph.) 

4)
Suppose a new ergonomic, safety intervention cost $405,000.  Further suppose the intervention is certain to prevent all back injuries associated with the job.  Over the last three years, the employer has averaged 14 injuries per year, with an average cost of $14,000 per injury.  What would be the ROI for a three-year period for this intervention? 

5)
 Suppose a new initiative in safety cost $215,000.  The investment saved the employer $278,000.  What is the ROI for the new initiative?

6)
 Suppose a chemical company has a pressure vessel (i.e., tank) for heating methyl ethyl doo doo.  The pressure vessel is equipped with a sensor that sends a reading of the pressure to an operator employee in a control room.  When the operator notices the pressure exceeding a safe level, the employee is to operate controls to transfer methyl ethyl doo doo from the vessel before an explosion occurs.  The control room panel is also equipped with an alarm should the operator fail to notice the pressure is getting too high and fail to transfer methyl ethyl doo doo right away.  As an additional backup to prevent an explosion, the pressure vessel is also equipped with a relief valve that should operate before pressure reaches a level that would cause the vessel to explode.  In essence, assume there are three mechanisms in place to prevent explosion:  1) the sensor that sends a signal to the control panel; 2) the alarm on the control panel; and 3) the relief valve.  All three must fail in order for an explosion to occur.  Presume the failure rates of each are as follows:  1) sensor = 0.005;  2) the alarm = 0.003; and 3) the relief valve = 0.002.  If one were to disregard probability of human error (i.e., the operator fails to notice the sensor because she/he is distracted), what is the probability of an explosion due to failure of the electronic and mechanical components of the pressure vessel system? 

7)
 Suppose a machine has two components that prevent injury; component A and component B.  If either of the components fail, an employee will be injured. It is important to note that both A and B cannot fail at the same time.  (In other words, they are mutually exclusive events.) If the failure rate for component A is 0.0005 and component B is 0.004, what is the probability an employee will be injured because of failure of these components? 

Why is statistics an important course for business or social science majors to take?

   
Part I(short essay/discussion)
1. Please answer any one of the following three questions: 
· Why is statistics an important course for business or social science majors to take? OR 
· How has the use of statistics changed your life? OR 
· How has Statistics affected you in the workplace? 
2. What are some of the commonly used measures of variation in statistics?
Part II:  Homework
See attached Microsoft word document

1 2 3 12