Craps!The game of craps is a gambling game where players place wagers on the sum from the roll of two six-sided dice.1 One author rolled a pair of dice 180 times and recorded the results in the table below. He was attempting to make some numbers appear more often than they would by random chance. Use the 180 rolls to test whether he can defeat random chance, and should thus head to a craps table! (Hint: You will need to calculate or find the null proportions for each sum.) Note: this requires an open-ended, typed answer. Dice Sum 2 3 4 5 6 7 8 9 10 11 12 Observed Count 6 11 17 16 25 31 19 20 17 13 5
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.
Craps!
The game of craps is a gambling game where players place wagers on the sum from the roll of two six-sided dice.1 One author rolled a pair of dice 180 times and recorded the results in the table below. He was attempting to make some numbers appear more often than they would by random chance. Use the 180 rolls to test whether he can defeat random chance, and should thus head to a craps table! (Hint: You will need to calculate or find the null proportions for each sum.) Note: this requires an open-ended, typed answer.
| Dice Sum | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
| Observed Count | 6 | 11 | 17 | 16 | 25 | 31 | 19 | 20 | 17 | 13 | 5 |
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