When a species is introduced to a new environment, it often has no natural predators and multiplies quickly. This situation occurred in Australia in 1859, when a landowner named Thomas Austin released 24 rabbits for hunting. The rabbits reproduced so quickly that within 20 years they were referred to as a “grey carpet” on the continent, and drove many native plant and animal species to extinction. The function that describes the population growth of these rabbits is … P(t) = 24(3.5)t where t = time in years How many rabbits were present initially (t=0)? 2. Estimate the number of rabbits after 2 years and 3 months. 3. Estimate the number of rabbits after 10 years.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
When a species is introduced to a new environment, it often has no natural predators and multiplies quickly. This situation occurred in Australia in 1859, when a landowner named Thomas Austin released 24 rabbits for hunting. The rabbits reproduced so quickly that within 20 years they were referred to as a “grey carpet” on the continent, and drove many native plant and animal species to extinction. The function that describes the population growth of these rabbits is …
P(t) = 24(3.5)t where t = time in years
- How many rabbits were present initially (t=0)?
2. Estimate the number of rabbits after 2 years and 3 months.
3. Estimate the number of rabbits after 10 years.
Consider the given function of population growth.
For part (1) it is required to determine the number of rabbits that were present initially.
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