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Rules of Probability

If you have any test reviews, homeworks, guides, anything school related that you think can be posted on this website, reach out to me at makingschooleasier@gmail.com   Rules of Probability When considering a given procedure, events can be and often are related to one another.  If we know the probabilities of one or more events, we can find the probabilities of other events by relying on the ones we already know. The simplest example of this is the  complement rule . The Complement of an Event : The complement of Event A is denoted  A’  (read as “A prime”) and consists of everything in the Sample Space  except  Event A. Since the two together comprise the sample space,  their probabilities sum to 1 . (Remember that in probabilities,  1 = certainty .  If all possible outcomes are included, it is certain that the eventual outcome will be one of those listed.) We express this rule in this notation:  P( A)  +...

Probability

If you have any test reviews, homeworks, guides, anything school related that you think can be posted on this website, reach out to me at makingschooleasier@gmail.com   Probability The subject of probability is an integral part of all work with statistics. Research  in all  fields requires that we use inferential statistics. (We need to know how to  use data  from a sample to infer characteristics of a population.)  But even the  best selected  sample can be ill-reflective of the population from which it was  selected for  a number of reasons. Therefore, when making conclusions about the data of  a  sample , we would also like to attach a certain level of likelihood that the sample  reflects the population as accurately as possible. We need  probability  to do this.  If there was a 20% chance that we could be wrong , we’d  likely go back and redraw the sample. But, if there was a  1...