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cui1130 · 2023年07月24日

B为什么不对

NO.PZ2022071202000041

问题如下:

Question
  • Event A: the fund will earn a return of 5%.

  • Event B: the fund will earn a return below 5%.

The least appropriate description of the events is that they are:

A portfolio manager estimates the probabilities of the following events for a mutual fund:

选项:

A.dependent. B.mutually exclusive. C.exhaustive.

解释:

Solution

C is correct. Events are exhaustive when they cover all possible outcomes. Mutually exclusive means that only one event can occur at a time. Two events are dependent if the occurrence of one event does affect the probability of occurrence of the other event. In this situation, Event A and B are both mutually exclusive (because they cannot occur at the same time) and dependent (because if one event occurs, the probability of the other becomes zero). However, the two events are not exhaustive because they do not cover the event that the fund will earn a return above 5%.

A is incorrect. Events A and B are dependent because if one event occurs, the probability of the other becomes zero.

B is incorrect. Events A and B are mutually exclusive because they cannot occur at the same time.

B为什么不对

1 个答案

星星_品职助教 · 2023年07月24日

同学你好,

B选项说两个事件互斥,这个描述是正确的。return=5%和return<5%不能同时发生,为互斥事件。

由于题目要求选本题要选 least appropriate的,所以B选项不能选。