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Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a...

Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.3 seconds. Round to 4 decimal places where possible.

  1. The mean of this distribution is_______
  2. The standard deviation is_______
  3. The probability that wave will crash onto the beach exactly 2.4 seconds after the person arrives is P(x = 2.4) = _______
  4. The probability that the wave will crash onto the beach between 0.8 and 1.4 seconds after the person arrives is P(0.8 < x < 1.4) = _______
  5. The probability that it will take longer than 3.66 seconds for the wave to crash onto the beach after the person arrives is P(x ≥≥ 3.66) = _______
  6. Find the minimum for the upper quartile. _______ seconds.

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