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十个馒头 · 2022年07月07日

本题中为什么P(23)和P(25)属于互斥事件 如何判断互斥事件的情况

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

本题中为什么P(23)和P(25)属于互斥事件 如何判断互斥事件的情况

1 个答案
已采纳答案

星星_品职助教 · 2022年07月07日

同学你好,

互斥事件可以简单理解为不能同时发生的事件。

Y=23和Y=25这两件事明显不可能同时发生,所以互斥。


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