Statıstıcs I Deneme Sınavı Sorusu #857234
What does a variable's taking on infinite number of possible outcomes in a given interval show?
that it is a continuous random variable |
that it is a discrete random variable |
that it typically comprises of a counting concept |
that it cannot be determined from the area under probability density function |
that it cannot keep uncountable measures |
A major difference between continuous and discrete random variables is the former takes on uncountable and infinite number of possible outcomes in a given interval. Hence the range of continuous random variable X comprises all real numbers in an interval. In addition to the above given illustrations, water consumption amount in a household, weights of people in a population, the speed of wind in a open certain area, waiting time in a supermarket, checkout lanes or load on a bridge are the few examples for continuous random variable for real world applications. From these examples it’s clear that random variable X can take unaccountably infinite values. To describe such physical structures through continuous random variables density functions are utilized. Therefore, in contrast to discrete random variables, probabilities in continuous random variables can be determined from the area under probability density function (pdf) which is represented by f (x).
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