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Today, the waves are crashing onto the beach every 6: seconds. The times from when a person arrives at the shoreline until a crashing wave
Today, the waves are crashing onto the beach every 6: seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from D to 5 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is I I b. The standard deviation is I I c. The probability that wave will crash onto the beach exactly 5.'.-" seconds after the person arrives is Pix = 5.?) = I I d. The probability that the wave will crash onto the beach between 2.2 and 4.5 seconds after the person anives is P{2.2 c x 2.1]=I I f. Suppose that the person has already been standing at the shoreline for 1 seconds without a wave crashing in. Find the probability that it will take between 4.1 and 5.5 seconds for the wave to crash onto the shoreline. I I g. 2% of the time a person will wait at least how long before the wave crashes in?I I seconds. h. Find the minimum for the upper quartile. I I seconds
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