Respuesta :
The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
What is the empirical rule?
If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.
It is given that:
The heights of a large population of ostriches are normally distributed.
The percentage of these heights that is within 3 standard deviations of the mean
As we know from the empirical rule:
It is the rule of 68-95-99.7.
From the data given in the question:
The height of a large population of ostriches is normally distributed.
So,
X ~ (u, б²)
Normal distribution.
P{u - 3б < X < u + 3б}
From the distribution table:
P{u - 3б < X < u + 3б} = 99.7%
Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
Learn more about the empirical rule here:
brainly.com/question/5440679
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