What is a probability mass function?
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what is pmf
- What are some discrete-time models used in business and economics? How can you use PMFs to model the number of clicks on an advertisement?
- Give examples of discrete random variables.
- How is the study of PMFs evolving with advancements in computing and data science? Can you provide a list of important discrete probability distributions and their PMFs?
- How do you calculate probabilities for a discrete uniform distribution? How do you find the expected value of a discrete random variable using its PMF?
- What is the relationship between the moments of a distribution and the derivatives of its probability generating function? How can you use PMFs to model the number of occurrences of rare events?
- Can a PMF have negative values?
- What are some applications of discrete probability in criminology? How can you use PMFs to model the number of accidents occurring at a particular intersection?
- How do you define the PMF of a mixture distribution with discrete components?
- How does convolution relate to PMFs of sums of independent discrete random variables? What is the PMF of the sum of two independent Bernoulli random variables?
- How does a PMF differ from a PDF? What types of random variables use PMFs?
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