Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean μ = 25.5 kilograms and standard deviation σ = 3.1 kilograms. Let x be the weight of a fawn in kilograms.

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In this case, we have a normal distribution with a mean (μ) of 25.5 kilograms and a standard deviation (σ) of 3.1 kilograms for the body weight of fawns between 1 and 5 months old.

Let's define x as the weight of a fawn in kilograms. So, x ~ N(25.5, 3.1^2), where "~" represents "follows a normal distribution" and N represents a normal distribution.

With this information, we can calculate probabilities and answer questions about the weights of these fawns.

For example, if you want to know the probability that a randomly selected fawn from this population weighs less than 24 kilograms, you can use the cumulative distribution function (CDF) of the normal distribution.

To find this probability, you need to calculate the z-score first. The z-score measures how many standard deviations an observation is away from the mean. It is calculated using the formula:

z = (x - μ) / σ

In this case, x = 24 kilograms, μ = 25.5 kilograms, and σ = 3.1 kilograms. Plugging in these values, we get:

z = (24 - 25.5) / 3.1

Now, you can look up the corresponding probability in the standard normal distribution table using the z-score. This probability will give you the proportion of fawns with weights less than 24 kilograms.

Alternatively, you can use statistical software or calculators to find this probability directly by inputting the mean, standard deviation, and the desired value.

This process can be applied to answer questions and calculate probabilities for various weight ranges or specific weight values of the fawns between 1 and 5 months old.