Not necessarily. In fact, in binary situations they can be totally dependent - depends on the experiment.
Mutually exclusive means they are independent of one another. So, the two events are independent of one another.
Yes.
No, independence means they are not related. Mutually exclusive means they cannot occur at the same time.
The definition of mutually exclusive events is that the events can't occur at the same time. For example, you can't flip a coin and get a head and a tail; they are mutually exclusive events.
No, if two events are mutually exclusive, they cannot both occur. If one occurs, it means the second can not occur.
Mutually exclusive means they are independent of one another. So, the two events are independent of one another.
Yes.
No, independence means they are not related. Mutually exclusive means they cannot occur at the same time.
provide one business-related example each, with explanation, for mutually exclusive and independent events
Whether the events are independent or dependent, whether or not they are mutually exclusive.
The definition of mutually exclusive events is that the events can't occur at the same time. For example, you can't flip a coin and get a head and a tail; they are mutually exclusive events.
It is the opposite of mutually exclusive. Potentially inclusive are events that can happen at the same time, as mutually exclusive events can't.
To calculate the probabilities of compound events, you can use the multiplication rule or the addition rule, depending on whether the events are independent or mutually exclusive. The multiplication rule is used when the events are independent, and you multiply the probabilities of the individual events. The addition rule is used when the events are mutually exclusive, and you add the probabilities of the individual events.
No, if two events are mutually exclusive, they cannot both occur. If one occurs, it means the second can not occur.
No because the term mutually exclusive implies the the trials that could result in these events are sequenced in time.
At most one of the events can occur.
Independent events are events which are not connected; for example, my choice of food for lunch will have no affect on your choice of a shirt to wear in the morning. Mutually exclusive events are connected. If one happens, the other can't happen. For example, let us say that you are flying an airplane and you have a choice of airports at which you can land. If you land at one airport, you will therefore not land at the other airport, because you can land at only one airport at a time (although you can still land at other airports in the future). At a given time, the events of landing at airport A and landing at airport B are mutually exclusive.