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Consider a random experiment where a spinner is rotated, and the continuous random variable \( X \) represents the angle spun, measured in degrees, over the interval \([0, 360]\).
  1. Determine the probability density function of \( X \).
  2. Calculate \( P(90 \leq X \leq 180) \).
  3. Calculate \( P(X \geq 60) \).
  4. Calculate the expected value \( E(X) \).

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