Current location - Training Enrollment Network - Mathematics courses - Postgraduate entrance examination mathematics. Li reviewed the example 2.2 1 on page 524 of this book. I don't understand why the probability of {X≤x} is the ratio of two areas.
Postgraduate entrance examination mathematics. Li reviewed the example 2.2 1 on page 524 of this book. I don't understand why the probability of {X≤x} is the ratio of two areas.
Definition of geometric probability: If the probability of each event is only proportional to the length (area or volume) of the event area, such a probability model is called geometric probability.

If the results of a random experiment are infinitely uncountable, and the possibility of each result is consistent, and every basic event in the sample space can be described by a bounded region, then this random experiment is called geometric probability. For any event a, p (a) = l (a)/l (ω). Where l is the geometric dimension (length, area, volume)

From the title, we can see the geometric probability, so the probability is the ratio of two areas. If you still don't understand why, you can refer to example 2.22 on page 525, "It falls without inclusion. . . The probability is proportional to the length of the subinterval. " Geometric probability is also used here. This is easy to understand by drawing a number axis. It is also a truth to look back at the area after knowing the length.

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