Let , t be the wave function of a mass m particle in an infinite square well -a < x < a. at timet= 0, \! is 1 27tx (r, 0)e(ar) for - a < x < a cos a 3a +1 for x > 0, and zero otherwise, where e(x) is the step function -1 for x< 0. find the probability that a measurement of energy yields the nth eigenvalue, and write down a formula for v(x, t).

The force acting on a beam was measured under the same operating conditions and a sample of 5 data points was collected. this process was repeated by 3 observers. the pooled standard deviations of these 3 data sets was 1.21. determine the true mean force using all pooled data (with a 95% probability). the result should look like this: true mean = mean +/- margin of error