### What value does each of the xy axes on the image of the chi-square distribution represent?

For any value x on the x-axis, the y-axis coordinate is p(x), which represents the value of the probability density function of the chi-square distribution at the point x. For any x, the area of the region to the left of the vertical line X=x is P(T<x),where T obeys the corresponding chi-square distribution; the area of the region to the right of the vertical line X=x is P(T>x).

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### The horizontal coordinate of a probability density curve is? The vertical coordinate is?

The horizontal coordinate of the probability density curve is? The vertical coordinate is?

A. The horizontal coordinate is the magnitude, and the vertical coordinate is the probability density

B. The horizontal coordinate is the probability density, and the vertical coordinate is the magnitude

C. The horizontal coordinate is the time, and the vertical coordinate is the probability density

D. The horizontal coordinate is the probability density, and the vertical coordinate is the time

Correct Answer: horizontal coordinate is the magnitude, and vertical coordinate is the probability density

### What is the concept of probability density function and probability distribution function?

Definition of the two

Probability density function: used to visually describe the continuous random variable (discrete random variable under the function is called the law of distribution), indicates the probability that the instantaneous amplitude falls within a specified range, and is therefore a function of the amplitude. The probability of continuous sample space situation is called the probability density, when the number of trials increases indefinitely, the histogram tends to a smooth curve, the area enclosed under the curve indicates the probability that the curve that the probability density function of the sample of this trial.

Distribution function: used to describe the probability of a random variable falling on any interval. If x is regarded as the coordinates of a random point on the numerical axis, then the value of the distribution function F(x) function at x represents the probability of x falling on the interval (-∞. The distribution function is also known as the probability cumulative function.

Distinction

The distribution function is the integral of the probability density function from negative infinity to positive infinity;

On the coordinate axes, the function value of the probability density function, y, denotes the probability of falling on the point x as y; the function value of the distribution function, y, denotes the probability of x falling on the interval (-∞.

### What do the horizontal and vertical axes of the graph of the probability density function probability distribution mean?

The horizontal coordinates represent the range of values of the random variable

The axial coordinates represent the density of the probability, the higher the density, the higher the probability of being in the range, but note that the probability of a continuous random variable being in the range is 0

So to find the probability using the probability density, you have to specify the range of values corresponding to that probability density

The area of the probability density is the probability that it occurs in the range. range of probability