Which of the following function is associated with a continuous random variable?(1 Point)pmfpmvpdfAll of the above
Question
Which of the following function is associated with a continuous random variable?
(1 Point)
- pmf
- pmv
- All of the above
Solution
The function associated with a continuous random variable is the Probability Density Function (pdf).
Here's why:
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PMF (Probability Mass Function) is associated with discrete random variables. It gives the probability that a discrete random variable is exactly equal to some value.
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PMV is not a standard abbreviation in statistics, so it's not applicable here.
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PDF (Probability Density Function) is associated with continuous random variables. It describes the likelihood of a random variable to take on a specific value. However, for continuous variables, the probability at a specific point is technically zero. The PDF is used to define the probability over an interval.
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"All of the above" is not correct because only PDF is associated with continuous random variables.
So, the correct answer is PDF.
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