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Probability density is a pure number and so has no units.

Q: What is the unit of probability density?

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probability density distribution

See related link, In quantum mechanics, a probability amplitude is a complex number whose modulus squared represents a probability or probability density. For example, the values taken by a normalised wave function ψ are amplitudes, since |ψ(x)|2 gives the probability density at position x. Probability amplitudes may also correspond to probabilities of discrete outcomes.

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It will not. For the interval (x, x+dx) it may well give a non-zero probability. With a continuous distribution, the probability of any particular value is always 0. What the probability density function gives is the probability that the variable is NEAR the selected value.

The probability density function of a random variable can be either chosen from a group of widely used probability density functions (e.g.: normal, uniform, exponential), based on theoretical arguments, or estimated from the data (if you are observing data generated by a specific density function). More material on density functions can be found by following the links below.

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probability density distribution

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.

See related link, In quantum mechanics, a probability amplitude is a complex number whose modulus squared represents a probability or probability density. For example, the values taken by a normalised wave function ψ are amplitudes, since |ψ(x)|2 gives the probability density at position x. Probability amplitudes may also correspond to probabilities of discrete outcomes.

electron probability density.

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It will not. For the interval (x, x+dx) it may well give a non-zero probability. With a continuous distribution, the probability of any particular value is always 0. What the probability density function gives is the probability that the variable is NEAR the selected value.

The probability density function of a random variable can be either chosen from a group of widely used probability density functions (e.g.: normal, uniform, exponential), based on theoretical arguments, or estimated from the data (if you are observing data generated by a specific density function). More material on density functions can be found by following the links below.

what is density curve

The conservation of probability in quantum mechanics is a consequence of the time-independent Schrödinger equation. For a normalized wavefunction Ψ(x), the conservation of probability is guaranteed by the fact that the total probability density, |Ψ(x)|^2, remains constant over time according to the continuity equation ∇·j = -∂ρ/∂t, where j is the probability current density and ρ is the probability density.

The region of zero electron density is called a "node."

Probability Density Function