What is mutually exclusive and independent in statistics?
Events are mutually exclusive if the occurrence of one event excludes the occurrence of the other(s). Mutually exclusive events cannot happen at the same time. Events are independent if the occurrence of one event does not influence (and is not influenced by) the occurrence of the other(s).Click to see full answer. Subsequently, one may also…
Events are mutually exclusive if the occurrence of one event excludes the occurrence of the other(s). Mutually exclusive events cannot happen at the same time. Events are independent if the occurrence of one event does not influence (and is not influenced by) the occurrence of the other(s).Click to see full answer. Subsequently, one may also ask, what does mutually independent mean?The events are called pairwise independent if any two events in the collection are independent of each other, while saying that the events are mutually independent (or collectively independent) intuitively means that each event is independent of any combination of other events in the collection. how do you know if an event is independent? To test whether two events A and B are independent, calculate P(A), P(B), and P(A ∩ B), and then check whether P(A ∩ B) equals P(A)P(B). If they are equal, A and B are independent; if not, they are dependent. Also asked, what does mutually exclusive mean? Mutually exclusive is a statistical term describing two or more events that cannot coincide. It is commonly used to describe a situation where the occurrence of one outcome supersedes the other.Does mutually exclusive mean independent?Mutually exclusive events cannot happen at the same time. For example: when tossing a coin, the result can either be heads or tails but cannot be both. Events are independent if the occurrence of one event does not influence (and is not influenced by) the occurrence of the other(s).
