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Employment status: Unemployed or employed Result: Pass or Fail. Continuous variable definition | continuous quantitative variable | continuous random variable example | is money discrete or continuous | types of continuous variables | continuous and discontinuous variables in research | is age discrete or continuous | types of discrete variables. Continuous. Example 2 - Noise voltage that is generated by an electronic amplifier has a continuous amplitude. Some examples of continuous random variables are: The computer time (in seconds) required to process a certain program. You can’t have arbitrary accuracy in a six-sided die, because it only has 6 distinct states. Definition \(\PageIndex{1}\) Example \(\PageIndex{1}\) We now consider the expected value and variance for continuous random variables. Probability Density Function. The amount of water passing through a pipe connected with a high level reservoir. Suppose the fire department mandates that all fire fighters must weigh between 150 and 250 pounds. Some examples will clarify the difference between discrete and continuous variables. The heat gained by a ceiling fan when it has worked for one hour. The time in which poultry will gain 1.5 kg. On the other hand, quantitative continuous variables are variables for which the values are not countable and have an infinite number of possibilities.For example: Age; Weight; Height; For simplicity, we usually referred to years, kilograms (or pounds) and centimeters (or feet and inches) for age, weight and height respectively. For example, in a family, there can be one, two, or three children, but there cannot be a continuous scale of 1.1, 1.5, or 1.75 children. You must also know the following topics. In probability theory, a probability density function (PDF), or density of a continuous random variable, is a function whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample. The seconds hand on a clock is in continuous motion. The amount of rain falling in a certain city. Continuous variable. Examples of Continuous Random Variables Example 1- A random variable that measures the time taken in completing a job, is continuous random variable, since there are infinite number of times (different times) to finish that job. If a variable can take on any value between its minimum value and its maximum value, it is called a continuous variable; otherwise, it is called a discrete variable.. 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