Part F – Model, solve, and interpret the word problem
1 answer:
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Considering the Central Limit Theorem, we have that:
a) The probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.
b) The probability can be calculated, as the sample size is greater than 30.
<h3>What does the Central Limit Theorem state?</h3>It states that the sampling distribution of sample means of size n is approximately normal has standard deviation , as long as the underlying distribution is normal or the sample size is greater than 30.
In this problem, the underlying distribution is skewed right, that is, not normal, hence:
- For item a, the probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.
- For item b, the probability can be calculated, as the sample size is greater than 30.
More can be learned about the Central Limit Theorem at brainly.com/question/16695444
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Answer:
The first option is the correct one, the area of the shaded portion of the circle is
[/tex](5 \pi -11.6)ft^2[/tex]
Step-by-step explanation:
Let us first consider the triangle + the shadow.
The full area of the circle is the radius squared times pi, so
A=
Since , the area of the triangle + the shaded area is one fifth of the area of the whole circle, thus
If we want to know the area of the shaded part of the circle, we must subtract the area of the triangle from .
The area of the triangle is given by
Thus the area of the shaded portion of the circle is