Errors in measuring the time of arrival of a wave front from an acoustic source

Chapter 4, Problem 4.131

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Errors in measuring the time of arrival of a wave front from an acoustic source sometimes have an approximate beta distribution. Suppose that these errors, measured in microseconds, have approximately a beta distribution with = 1 and = 2. a What is the probability that the measurement error in a randomly selected instance is less than .5 s? b Give the mean and standard deviation of the measurement errors.

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