Question: The total distance between two points A and B is composed of the sum of 124 independent measurements. The random error, E in each measurement

The total distance between two points A and B is composed of the sum of 124 independent measurements. The random error, E in each measurement is uniformly distributed between -1 and +1 in. assume that the total distance AB is approximately 2 miles and the individual segment lengths are approximately equal.

1. Compute the mean and variance of the error in each measurement.

2. What is the probability that the error in each measurement is not more than .01% of the actual length of the segment

3. Compute the mean and variance of the total error in the distance AB.

4. What is the probability that the total error is not more than .01% of the actual distance AB?

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