Today, the waves are crashing onto the beach every 4.5 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.5 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is 2.25 b. The standard deviation is 1.2990 v c. The probability that wave will crash onto the beach exactly 2.3 seconds after the person arrives is P(x = 2.3) =0 d. The probability that the wave will crash onto the beach between 1.1 and 2.1 seconds after the person arrives is P(1.1 < x < 2.1) = 0.2222 v e. The probability that it will take longer than 2.5 seconds for the wave to crash onto the beach after the person arrives is P(x > 2.5) = f. Suppose that the person has already been standing at the shoreline for 0.6 seconds without a wave crashing in. Find the probability that it will take between 1.2 and 2.4 seconds for the wave to crash onto the shoreline. g. 81% of the time a person will wait at least how long before the wave crashes in? seconds.

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