Suppose a scientist has two tests to measure the age of a fossil. The rst test measures the age with mean error of 0.0011: and variance 0.0213, and the second test measures the age with mean error 0.0015w and variance 0.015w2, where a: is the actual age of the fossil, in years. Note this means that both tests, on average, slightly overstate the age of the fossil. If the error of each test is normally distributed with the parameters given and the error of each is independent of the other, calculate the probability that the average age given by the two tests is within the interval (0.995w, 1.005w). Possible Answers