Suppose that a density function is given by the formula if 0 < x < 10 2 120 2 f(x) 2 -x if 10 < x < 12 2 24 otherwise Find the probability that x is between 8 and 11. WORK REQUIRED - AT LEAST SHOW THE SETUP, then you may use your calculator / other technology to solve

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Author:Amos Gilat
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Suppose that a density function is given by the formula

\[
f(x) = 
\begin{cases} 
\frac{2}{120}x & \text{if } 0 \leq x \leq 10 \\
\frac{2}{2} - \frac{2}{24}x & \text{if } 10 < x \leq 12 \\
0 & \text{otherwise}
\end{cases}
\]

Find the probability that \( x \) is between 8 and 11.

**WORK REQUIRED - AT LEAST SHOW THE SETUP**, then you may use your calculator / other technology to solve.
Transcribed Image Text:Suppose that a density function is given by the formula \[ f(x) = \begin{cases} \frac{2}{120}x & \text{if } 0 \leq x \leq 10 \\ \frac{2}{2} - \frac{2}{24}x & \text{if } 10 < x \leq 12 \\ 0 & \text{otherwise} \end{cases} \] Find the probability that \( x \) is between 8 and 11. **WORK REQUIRED - AT LEAST SHOW THE SETUP**, then you may use your calculator / other technology to solve.
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