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[Solution] f(x) is the probability density function for a particular random variable x. use integration to find the indicated probabilities.

Question:

f(x) is the probability density function for a particular random variable x. use integration to find the indicated probabilities.

\[f(x)=\left\{ \begin{matrix} \frac{1}{7}\quad if\quad -3\le x\le 4 \\ 0\quad otherwise \\ \end{matrix} \right.\]
  1. P(-5 < x < 0)
  2. P(3 < x < 4)
  3. P( x > 2)

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