Polychlorinated biphenyl (PCB) is an organic pollutant that can be found in electrical equipment. A certain kind of small capacitor contains PCB with a

mean of 47.8 ppm (parts per million) and a standard deviation of 5 ppm. A governmental agency takes a random sample of 38 of these small capacitors. The agenc.plans to regulate the disposal of such capacitors if the sample mean amount of PCB is 48.5 ppm or more.

Find the probability that the disposal of such capacitors will be regulated. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.