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Helenn_ल · 2022年08月21日

我知道后面的加法法则,但还是有点没懂p23和p25怎么算的

NO.PZ2018062016000091

问题如下:

Given a discrete random variable Y, the set of all the possible Y value is Y = {20,21,22,23,24,25}.

The estimated value of cumulative distribution function is in the table, what is the probability that Y takes 23 or 25?

选项:

A.

0.50

B.

0.45

C.

0.75

解释:

A is correct. 

F(23) = P(Y≤ 23) = p(20) + p(21) + p(22) + p(23) = 0.55. F(22) = P(Y≤ 22) = p(20) + p(21) + p(22) = 0.30. So p(23) = 0.55-0.30 = 0.25.

For the same reason, F(25) = 1.00, F(24) = 0.75, p(25) = 1.00-0.75 = 0.25.

The probability that Y takes 23 or 25 = p(23) + p(25) = 0.25+0.25 = 0.50

有点没懂p23和p25怎么算的

1 个答案

星星_品职助教 · 2022年08月21日

同学你好,

题干中表格为累积的概率。即“22”那一行代表了到22为止所有概率的累积加和,也就是 p(20) + p(21) + p(22) ,这三个概率累积起来总共为0.30.

同理,“23”那一行代表了到23为止所有概率的累积,也就是 p(20) + p(21) + p(22) + p(23) =0.55.

两者做差,就可以得到p(23) =0.55-0.30=0.25.

---

根据上述思路,p(25) =1.00-0.75=0.25.

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