概率、希冀与方差的计算和性质(国外英文资料).doc

概率、期望与方差的计算和性质(国外英文资料) Probability and statistics One: common probability type and formula of probability calculation; Type 1: classical generality; The basic characteristics of classical generality: (1) the number of basic events is limited; (2) mutually exclusive, and equally likely, each basic event; 2, the formula for probabilistic computing: The probability of A happening; Type 2: geometric scheme; The basic characteristics of the geometrical genera: (1) there are an infinite number of basic events; (2) mutually exclusive, and equally likely, each basic event; 2, the formula for probabilistic computing: The probability of A happening; Note: Than (1) what is the length and area ratio and volume ratio, the key is to look at the expression of the probability problem requires several variables, if you need a variable should be length ratio or Angle ratio; If you need two variables, you should have an area ratio; And of course if you have to have three variables you have to have a volume ratio; (2) if you are using a variable, whether it is an Angle problem or a length issue, the key is to see who is the subject of change and which is equally likely; For example: isosceles, Angle C =, (1) if the dot M is a point on the line segment AB, the probability of finding it; (2) if the radix CA is rotating around the point C, and the ray CA is always intersecting with line AB, the probability of finding the M, M: M is a uniform distribution on AB, so this should be the ratio of length, the probability of asking: And the second qs body is a ray of real changes in the rotation, so the Angle change is uniform, so this question should be the problem of the ratio of the Angle, so the desires of probability:; A common probability calculation property; Type 1: relationship and operation between events; A + B (and event) : there is at least one occurrence of two events in A and B; (product event) : it means that A and B occur simultaneously; (opposites) : the opposite event that re