Consider the following statement: The probability that Mary (spends at least, spends at most, spends less than, spends more than) 20 minutes per day exercising. Depending on which phrase you chose in parenthesis you end up with a different expression and meaning in terms of probability theory. For instance, P ( x ≤ 20 )(probability Mary spends at most 20 minutes exercising) means something different from P ( x > 20 )(probability Mary spends more than 20 minutes exercising). Write an expression related to your major for each of phrases above and label them with the correct mathematical symbol (use my example as a reference, but I encourage creativity here!). Then explain the differences between the four statements i.e., differences between at least, at most, less than, more than.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Consider the following statement: The probability that Mary (spends at least, spends at most, spends less than, spends more than) 20 minutes per day exercising. Depending on which phrase you chose in parenthesis you end up with a different expression and meaning in terms of probability theory. For instance, P ( x ≤ 20 )(probability Mary spends at most 20 minutes exercising) means something different from P ( x > 20 )(probability Mary spends more than 20 minutes exercising).
Write an expression related to your major for each of phrases above and label them with the correct mathematical symbol (use my example as a reference, but I encourage creativity here!). Then explain the differences between the four statements i.e., differences between at least, at most, less than, more than.
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