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Discrete and Continuous Probability Distributions
Task Background: Thus far, you have learned how to collect and describe data as well as finding probabilities of events. This week, you will learn how to take the probabilities and apply them with the use of probability distributions.
Probability distributions are used in many aspects to answer questions about given events. For example, a clothing store owner opens a new boutique and is working on a 3-day forecast of sales during the grand opening of the boutique. The owner determines that there is a 40% probability that customers will visit the store and make a purchase, which means 60% will visit the store and not make a purchase. How do you determine the probability that customers will visit and make a purchase on 0, 1, 2, or 3 of the days? To solve problems such as this, a probability distribution can help you identify the possible outcomes to make a conclusion. In this Discussion Board, you will explore the concepts to help construct discrete and continuous probability distributions.
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.
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:
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.
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.
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