Reference no: EM132857032
Today, the waves are crashing onto the beach every 5.2 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.2 seconds. Round to 4 decimal places where possible.
-The mean of this distribution is
-The standard deviation is
-The probability that wave will crash onto the beach exactly 0.5 seconds after the person arrives is P(x = 0.5) =
-The probability that the wave will crash onto the beach between 1.8 and 4.5 seconds after the person arrives is P(1.8 < x < 4.5) =
-The probability that it will take longer than 1.24 seconds for the wave to crash onto the beach after the person arrives is P(x > 1.24) =
-Suppose that the person has already been standing at the shoreline for 1.3 seconds without a wave crashing in. Find the probability that it will take between 3.9 and 4.5 seconds for the wave to crash onto the shoreline.
-53% of the time a person will wait at least how long before the wave crashes in? seconds.
-Find the minimum for the upper quartile. seconds.