Current location - Training Enrollment Network - Mathematics courses - Probability and statistics mathematics. I want to know what the geometric meaning of probability density f(x) is, why it must be non-negative and can be greater than 1. . . ?
Probability and statistics mathematics. I want to know what the geometric meaning of probability density f(x) is, why it must be non-negative and can be greater than 1. . . ?
Because the probability of a continuous random variable at any point is zero, the probability of a small neighborhood should be considered at this point.

P(x)=f(x)dx

So f(x) is the probability that the unit length is at point X.

F(x) = df/dx is nonnegative because the probability of any region is nonnegative and f (x) is monotonous.

For probability, f (x)