The Higher Education Research Institute at UCLA collected data from 302,458 incoming freshmen from 315 four-year college and universities in the United States. 74.5% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppos- that you randomly pick eleven freshmen from the survey. You are interested in the number that believe that same-sex couples should have the right to legal marital status. B v 315 0.745 Find the probability that exactly 4 of thhe 11 freshmen sampled believe that same-sex couples shou have the right to legal marital status. 0.007127 Find the probability that at least 9 of the 11 freshmen sampled believe that same-sex couples should have the right to legal marital status. 0.4397 Find the mean of the distribution. 225331.21 Find the standard deviation of the distribution. 239.70703
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.
Solution:
Let X be the random variable that the same sex couples should have the right to legal marital status.
The probability of random variable X is p= 0.745
n= 11 sample size
The random variable X has binomial distribution with parameters n= 11 and p= 0.745
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