Which of the following methods of calculating probability is used if the order of a specific number of events occurring in the total is not important?
Chi square test
Binomial expansion
Product rule
Sum rule
None of the above
Binomial expansion.
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Question
The table compares the sample characteristics of six towns. Based on the sample characteristics shown in the table, which town MOST LIKELY has the youngest median age in their population.
Responses
A TanglewoodTanglewood
B ZilkerZilker
C Wells BranchWells Branch
D Austin Heights
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The method used when the order of a specific number of events occurring is not important is the "Sum rule."
To understand how to calculate probability using the Sum rule, we first need to understand the concept of mutually exclusive events. Mutually exclusive events are events that cannot happen at the same time. For example, when flipping a coin, the outcomes "heads" and "tails" are mutually exclusive because only one of them can occur.
The Sum rule states that the probability of the occurrence of either one of two mutually exclusive events is the sum of their individual probabilities. In other words, if we have two events, A and B, the probability of A or B happening (denoted as P(A or B)) is equal to the sum of the individual probabilities of A (P(A)) and B (P(B)).
In the given options, the Sum rule is the appropriate method for calculating probability when the order of events is not important. The other options (Chi square test, Binomial expansion, Product rule) are not relevant to this scenario.
Therefore, the correct answer is "Sum rule."