Select all of the following of marginal pmfs and pdfs that are TRUE. The only information you need to compute a marginal pmf is the original joint pmf. You cannot use a marginal pdf to find the expectation of a random variable. The sum or integral over an entire marginal pmf or pdf must be equal to 1. O You can generate the joint pdf of two random variables if you have both marginal pdfs. O The sum of all of the probabilities in a joint pmf with 2 random variables must add up to 2.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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