An experiment consists of casting a pair of dice and observing the number that falls uppermost on each die. We may represent each outcome of the experiment by an ordered pair of numbers, the first representing the number that appears uppermost on the first die and the second representing the number that appears uppermost on the second die. Consider the sample space : S = { (1,1), (1,2), (1,3) , (1, 4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3) , (3, 4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3) , (5, 4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6) } Determine the event that the number falling uppermost on one die is a 6 and the number falling uppermost on the other die is less than 5 . When answering this question, a text box will appear. Type your answer using set notation and the number pairs satisfying the conditions defined by the event, like the example below : { ( , ) , ( , ) , }
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.
An experiment consists of casting a pair of dice and observing the number that falls uppermost on each die. We may represent each outcome of the experiment by an ordered pair of numbers, the first representing the number that appears uppermost on the first die and the second representing the number that appears uppermost on the second die.
Consider the
S = { (1,1), (1,2), (1,3) , (1, 4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6),
(3,1), (3,2), (3,3) , (3, 4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6),
(5,1), (5,2), (5,3) , (5, 4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6) }
Determine the
When answering this question, a text box will appear.
Type your answer using set notation and the number pairs satisfying the conditions defined by the event, like the example below :
{ ( , ) , ( , ) , }
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