6.83 Errors in measuring the arrival time of a wave front from an acoustic source can sometimes...

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6.83 Errors in measuring the arrival time of a wave front from an acoustic source can sometimes be modeled by a beta distribution. (See Perruzzi and Hilliard, J. Acoustical Society of America,1984)

Suppose these errors have a beta distribution with 1 and 2, with measurements in microseconds.

a Find the probability that such a measurement error will be less than 0.5 microseconds.

b Find the mean and standard deviation of these error measurements.

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