There Is a Theory That Says the Rate at Which $\frac{d p}{d t}$

question 6

Multiple Choice

There is a theory that says the rate at which information spreads by word of mouth is proportional to the product of the number of people who have heard the information and the number who have not.Suppose the total population is N.Which of the following differential equations describe the rate, $\frac{d p}{d t}$ , at which the information spreads by word of mouth?

• A) \(\frac{d p}{d t}=\frac{k p}{(p-N)}\)
• B) \(\frac{d p}{d t}=k p(N+p)\)
• C) \(\frac{d p}{d t}=\frac{k p}{(N-p)}\)
• D) \(\frac{d p}{d t}=k p(N-p)\)

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Definitions:

Stratified Random Sampling

A method of sampling that involves dividing a population into smaller groups, known as strata, that share similar characteristics, and then randomly selecting members from each stratum for study.

Chi-Square Distribution

A statistical distribution used in hypothesis testing that is applicable to variables measured on an interval scale, often used to analyze categorical data.

T-Distributions

A type of probability distribution that is symmetric and bell-shaped, used in hypothesis testing, especially when the sample size is small or the population variance is unknown.

Confidence Interval

A sequence of numerical figures, extracted from sampling data, likely to hold the value of an unobserved population parameter.