Mathematical models are used as tools to describe reality. These models are supposed to characterize the important features of the analyzed phenomena and provide insight. The normal distribution is an example of a random variable that is widely used by researchers to model real data.
Researchers often model real observations using the normal distribution, but sometimes the real distribution is a bit different from the perfect, normal distribution. List some reasons why researchers might make approximations like this and describe at least one situation when researchers should not use this approximation.
When forming your answer to this question you may give an example of a situation from your own field of interest for which a random variable can serve as a model.

There are several reasons why researchers might not use the normal distribution to model real data which are due to assumptions of normal distribution.

First, the normal distribution assumes that the data is symmetric and is distributed around the mean. However, in some cases, the data may be skewed, making the normal distribution an inappropriate model.

Second, the normal distribution assumes that the data is homoscedastic, meaning that the variance is constant across the sample. However, in some cases, the variance may be heteroscedastic, meaning that the variance changes across the sample. This makes the normal distribution an inappropriate model for this type of data.

One situation in which researchers should not use the normal distribution approximation is when modeling financial data. Financial data often follows a power-law distribution, which is not normal. Therefore, researchers should use a power-law distribution to model this type of data.

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Find f(3.5) if f(x) = (4x - 2)/10

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Select the name of the highlighted part.
OA side
OB. diagonal
OC.
Vertex

if the nth term of a number sequence is n squared-3 if the first 3 terms and the 10th term

if Mike Burns 220 calories in 20 minutes and 275 calories is in 25 minutes 385 calories in 35 minutes how much calories did he burn in 29 minutes​

Two equilateral triangle’s are showing. Find the scale factor used on the first triangle to make the second triangle

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Write a system of inequalities that represents the situation.
Group of answer choices

3v + 2b ≤ 30
3v + 2b ≥ 12

3v + 2b ≥30
v + b ≤ 12

2v + 3b ≤ 30
v + b ≥12

3v + 2b ≤ 30
v + b ≥ 12

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68, 84, 86, 74, 58, 82, 82, 96, 78, 96, 70, 78, 98, 80, 94, 96, 64, 82, 74, 78, 96. W
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what are the answers?

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Anya bought some cans of paint. She used 9 of them to
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Find the mean of these numbers: 8, 14, 32, 6, 15

the other answer choice is 75​

Given the function f(x) = 5x2 - 3x + 2, what is f(2)?

Solve the equation for the value of x,
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Evaluate \frac{1}{4} \times 2 \frac{4}{5}
4
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5
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Write the answer as a reduced fraction.​

​Use slash \left(/\right)(/) to separate numerator and denominator.

​Answer:​

find the length of the side x in simplest form with a rational denominator.
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This is an isosceles trapezoid.
R.
S
75
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z =
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Enter the number that belongs in
the green box.
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find the volume of the cone. make sure to round

QRST is an isosceles trapezoid and m

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Which is equivalent to the series shown?
12
Which expansion is equivalent to the summation
shown?
12
12
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n=9 n=9
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n=9
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9 10 11 12
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1 1 1
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9 10 11 12
20Σ
COMPLETE
Na
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Final