According to High Rollers Inc, 65% of the time a loaded pair of dice (meaning dice are biased) will land so that the sum will be seven. The dice are rolled 400 times. a) Describe the sampling distribution of ?̂, the sample proportion of rolling a sum of seven. (i.e. What is the sampling distribution of ?̂?) b) What is the probability that at least 62% of the rolls of the loaded dice will result in a sum of seven?
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.
3) According to High Rollers Inc, 65% of the time a loaded pair of dice (meaning dice are biased) will land so that the sum will be seven. The dice are rolled 400 times.
a) Describe the sampling distribution of ?̂, the sample proportion of rolling a sum of seven. (i.e. What is the sampling distribution of ?̂?)
b) What is the probability that at least 62% of the rolls of the loaded dice will result in a sum of seven?
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