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Luden [163]
2 years ago
9

A distribution is given as

Mathematics
1 answer:
Arada [10]2 years ago
4 0

If <em>X</em> is uniformly distributed on the interval (0, 12), then its PDF is

f_X(x) = \begin{cases}\frac1{12} & \text{if }0 < x < 12 \\ 0&\text{otherwise}\end{cases}

or simply

f_X(x) = \dfrac1{12} \text{ where } 0 < x < 12

and the zero-elsewhere case is assumed.

Whether you include 0 and 12 in the domain is irrelevant, since the probability that <em>X</em> = 0 or <em>X</em> = 12 are both zero.

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Answer:

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Arc length and radius is given. So, we need to know the arc length formula for a circle.

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