How would you differentiate a discrete from a continuous random variable

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Apr 3, 2024

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How would you differentiate a discrete from a continuous random variable? Provide a specific example to illustrate the difference. Provide a scenario when you use might use one type of random sampling method in your industry. Explain why you would choose this method in this scenario, even if another random sampling method could be used? Response Requirements When submitting your assignments or DQ responses, it's important to adhere to the guidelines set for academic writing. This includes refraining from cutting and pasting questions directly into your work and avoiding the use of bold formatting in your responses unless specifically instructed to do so. Such practices ensure that your submissions are neat and professional, and demonstrate your understanding of the material in your own words. Additionally, when it comes to seeking clarification or inquiring about various aspects of the course, it's always encouraged to ask questions in the course question section. By Thursday , respond to the prompt above in a minimum of 175 words. By Monday , post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to classmates or your faculty member. In my industry as a clinical analyst, I might use stratified random sampling in a scenario where I want to ensure representation from different subgroups within the population. For example, if I'm conducting a survey on a hospital EMR in a particular area, I might use stratified random sampling to ensure that I have proportional representation from different age groups, income levels, and regions. This method allows for more accurate analysis of each subgroup's behavior and characteristics, even though simple random sampling could also be used. Random variables play a crucial role in statistical analysis, helping us make sense of uncertain outcomes. A discrete random variable is
one that can only take on distinct, separate values. For instance, the outcome of rolling a six-sided die is a discrete random variable, as it can only result in values from 1 to 6. On the other hand, a continuous random variable can take on any value within a range. Unlike other methods, stratified sampling allows us to ensure representation from each subgroup, addressing potential variations in quality across different parts of the manufacturing process. This targeted approach enhances the accuracy of our quality control assessments. Knowing the nuances between discrete and continuous random variables is fundamental to statistical analysis. Likewise, selecting the appropriate random sampling method in industry scenarios, such as using stratified sampling for quality control, can significantly impact the reliability of our data. ---
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