In determining the range of an acoustic source by

Reference no: EM13619667

In determining the range of an acoustic source by triangulation, one must accurately measure the time at which the spherical wave front arrives at a receiving sensor. According to Perruzzi and Hilliard (1984), errors in measuring these arrival times can be modeled as having uniform distributions. Suppose that measurement errors are uniformly distributed from?0.04 to+0.05 microsecond.

a). Find the probability that a particular arrival time measurement will be in error by less than 0.01 microsecond.

b). Find the mean and the variance of these measurement errors.

If we have a random variable X with mean µ, are P(X ? µ) and P(X ? µ) necessarily 50%? Can you give an example where this doesn't happen? Where it does happen?

Reference no: EM13619667

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