Probability

Understanding the Probability Distribution of Intensity Values

Understanding the Probability Distribution of Intensity Values
  1. How do you interpret the mean of a probability distribution?
  2. What does intensity value mean?
  3. How do you read a probability distribution table?
  4. How do you find the probability distribution?

How do you interpret the mean of a probability distribution?

The mean can be regarded as a measure of `central location' of a random variable. It is the weighted average of the values that X can take, with weights provided by the probability distribution. The mean is also sometimes called the expected value or expectation of X and denoted by E(X).

What does intensity value mean?

The computed intensity values represent the densities of the scanned object. In medical imaging, these intensity values are normalized into Hounsfield Units (HU). This normalization maps the data range into a 12 bit range where the intensity of water is mapped to zero, and air is mapped to −1000.

How do you read a probability distribution table?

The easiest way to visualize the values in a probability distribution table is by using a histogram, which displays the values of the random variable along the x-axis and the probability of those values along the y-axis: This lets us quickly visualize the probability values from the table.

How do you find the probability distribution?

It can be written as F(x) = P (X ≤ x). Furthermore, if there is a semi-closed interval given by (a, b] then the probability distribution function is given by the formula P(a < X ≤ b) = F(b) - F(a). The probability distribution function of a random variable always lies between 0 and 1.

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