Using mirrors installed on the moon by Apollo astronauts to reflect laser waveforms, its possible to measure the distance from earth to moon to high precision. Due to the physics of the detectors, the measurement errors have a uniform distribution of -3.0 to + 5.0 cm

a. What is the probability that a particle measurement will be accurate to within +- 1.0 cm?

b. Find the mean of the measurement errors

c. Find the standard deviation of the measurement errors