Event Definition Statistics Math

This event is a subset containing sample points 2 4 6.

Event definition statistics math. In probability theory an event is an outcome or defined collection of outcomes of a random experiment. A set of possible outcomes resulting from a particular experiment. In probability theory an event is a set of outcomes of an experiment a subset of the sample space to which a probability is assigned. Event x y z are exhaustive events because they form a complete sample space itself.

For example a possible event when a single six sided die is rolled is 5 6. Two events are independent statistically independent or stochastically independent if the occurrence of one does not affect the probability of occurrence of the other. Video examples probability of simple events. Event x y z are mutually exclusive events because.

Now check whether the events are exhaustive events or not. Since the collection of all possible outcomes to a random experiment is called the sample space another definiton of event is any subset of a sample space. X u y u z 1 2 3 u 4 5 6 u 7 8 9 10 1 2 3 4 5 6 7 8 9 10 s. When a number cube is rolled 1 2 3 4 5 or 6 is a possible event.

One or more outcomes of an experiment. Rolling a 7 with two dice. That is the roll could be a 5 or a 6. For this take the union of all events.

When you roll a number cube and toss a coin at the same time a possible event is a 3 and a tail respectively. When dealing with collections of more than two events a weak and a strong notio. Similarly two random variables are independent if the realization of one does not affect the probability distribution of the other. The data are represented by means of graphs.

X n y n z ø. An event is a one or more outcome of an experiment. In general an event is any subset of a sample space including the possibility of an the empty set. Statistics is also the mathematical study of the likelihood and probability of events occurring based on known quantitative data or a collection of data.

Independence is a fundamental notion in probability theory as in statistics and the theory of stochastic processes. Example events of more than one outcome. A single outcome may be an element of many different events 2 and different events in an experiment are usually not equally likely since they may include very different groups of outcomes. Choosing a king from a deck of cards any of the 4 kings rolling an even number 2 4 or 6.

For example on the roll of a die getting an even number is an event.