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Ivana 🍭 · 2022年09月05日

老师请问A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.

老师请问A为什么不对?

1 个答案

星星_品职助教 · 2022年09月06日

同学你好,

如果Event A发生,Event B就必然不会发生。所以这两个事件是有关系的,即dependent(A选项)。

具体而言,这个关系是mutually exclusive(B选项)

本题要选least appropriate的一项,所以不能选A和B。