Scientists in the Amazon are trying to find a cure for a deadly disease that is attacking the rain forests there.One of the variables that the scientists have been measuring involves the diameter of the trunk of the trees that have been affected by the disease.Scientists have calculated that the average diameter of the diseased trees is 42 centimetres.They also know that approximately 95% of the diameters fall between 32 and 52 centimetres and almost all of the diseased trees have diameters between 27 and 57 centimetres.When modelling the diameters of diseased trees,which distribution should the scientists use?
A)Exponential distribution.
B)Normal distribution.
C)Uniform distribution.
D)Binomial distribution.

Question

Quizplus · Accepted Answer

The normal distribution would be the best choice as it is commonly used to model continuous variables such as diameter, and it is known for its bell-shaped curve which is consistent with the data provided by the scientists (i.e. most diameters falling between 32 and 52 cm). Additionally, the fact that almost all of the diseased trees have diameters between 27 and 57 cm suggests that the distribution is not uniform, and the exponential and binomial distributions are not appropriate for continuous variables.

Scientists in the Amazon Are Trying to Find a Cure