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.
A hunting club stocks a wildlife preserve with 20 elk. The carrying capacity of the preserve is 300 animals and the growth of the herd, allowing for the effect of controlled hunting of the elk, is expected to be modeled by the logistic curve *PICTURE*
where t is measured in years. After how many years will the population be 253? Round to the nearest year.
![The image shows a mathematical function used to model a particular scenario. The function is given by:
\[ p(t) = \frac{300}{1 + 14e^{-0.157t}} \]
In this expression:
- \( p(t) \) represents the function of time, \( t \).
- The numerator is a constant, 300.
- The denominator consists of 1 plus 14 times the exponential function \( e^{-0.157t} \), where \( e \) is the base of the natural logarithm.
This type of function is commonly used in modeling population growth, chemical reactions, or similar processes where change occurs over time while considering an asymptotic behavior.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F283c2e1f-9587-4fdc-8af1-1dabac97ce7e%2Fc8053eeb-8cfe-41be-8a9f-56d1e7e7d120%2F85ei1un_processed.jpeg&w=3840&q=75)
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