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Random Variable vs Event

When you perform a trial, multiple events can occur. You examine one specific event (your inquiry) and find all the outcomes that satisfy that single event. An event could be “The number of seeds that sprout in a pack of seeds”. This can be written as X = “the number of seeds that sprout in a pack of seeds”. Here you denote the outcome of a random event to a variable. As the actual value of the variable is uncertain, you call it a random variable. You can also choose another capital letter from the end of the alphabet to represent the random variable. The different outcomes of an event are called xi, where the index i means that this is the ith outcome, and xi is the value of this outcome. If there are four outcomes of an event, you call them x1, x2, x3 and x4.

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Examples of the Binomial Distribution