None. The full name is the Probability Distribution Function (pdf).
They are the same. The full name is the Probability Distribution Function (pdf).
A probability density function assigns a probability value for each point in the domain of the random variable. The probability distribution assigns the same probability to subsets of that domain.
No. f is a letter of the Roman alphabet. It cannot be a probability density function.
It is a function which is usually used with continuous distributions, to give the probability associated with different values of the variable.
None. The full name is the Probability Distribution Function (pdf).
They are the same. The full name is the Probability Distribution Function (pdf).
A probability density function assigns a probability value for each point in the domain of the random variable. The probability distribution assigns the same probability to subsets of that domain.
The probability distribution function.
No. f is a letter of the Roman alphabet. It cannot be a probability density function.
It is a function which is usually used with continuous distributions, to give the probability associated with different values of the variable.
The marginal probability distribution function.
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The answer depends on the probability distribution function for the random variable.
It is the probability distribution function that is relevant for the experiment.
The probability mass function is used to characterize the distribution of discrete random variables, while the probability density function is used to characterize the distribution of absolutely continuous random variables. You might want to read more about this at www.statlect.com/prbdst1.htm (see the link below or on the right)
A function cannot be a probability mass function (PMF) if it violates the properties of a PMF. A PMF must assign a non-negative probability to each possible outcome of a discrete random variable, and the sum of probabilities for all possible outcomes must be equal to 1. If a function does not satisfy these properties, it cannot be considered a PMF.