Math

Primary Task Requirements:

Within the Discussion Board area, write 300–400 words that respond to the following questions with your thoughts, ideas, and comments. This will be the foundation for future discussions by your classmates. Be substantive and clear, and use examples to reinforce your ideas:

·         It is important to understand the difference between discrete and continuous random variables because the statistical analysis of each type of variable is different.

·         Research on the Web about the concept of probability Distribution and provide a definition in general terms and the purpose of using a probability distribution

o    In your own words, discuss the differences between discrete and continuous random variables, and provide a real-world example of each type of random variable.

·         Perform the following experiment:

o    Roll a die 20 times, and record the results of each event in Excel. (Note: If you do not have an actual die, you can find a virtual die-rolling program located at the following Web site: http://www.random.org/dice

Construct a bar graph and probability distribution of your experiment. Attach your results to your Discussion Board posting. Construct a bar graph and probability distribution Table of your experiment. Attach your results inside EXCEL spreadsheet (instructions inside Week 3 Tuesday live chat) to your Discussion Board posting by using Upload Files tab at the bottom of the Discussion Board window. Also, show the probability calculations inside the spreadsheet.

o    Interpret the results of this experiment, answering the following questions:

§  What are the random variables for your experiment? Explain the meaning of your random variables.

§  Do you believe that the results of your experiment are discrete or continuous? Explain.

§  Is your experiment a probability distribution? In other words, are all conditions of a probability distribution satisfied? Explain.

§  Is your experiment a binomial probability distribution? Explain if all conditions are met or not.

·

NOTE: Please do not post your graph and the probability distribution for the die experiment inside the word document as it will not be accepted.

NOTICE: Make sure you post and cite at least two references in your posting, with a reference obtained by using search engines and from outside course resources. Also, you are asked to cite the references for all statements you take from other sources and you use in your posting. Proper reference citation is a main research requirement in this course.