Does the graph below describe a valid probability density function for a continuous random variable? Select the most appropriate response. -5 4 3- -2 1- -3 -2 -1 1. 2 3 4 5. -1- edit graph.on Ldesmos- -2- Yes -- it is a valid probability density function. O No -- it is not a non-negative function. No -- while it is a non-negative function, the area between the curve and the x-axis is not equal to one square unit.
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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