Math301

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:

300 words

• 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.