Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, insulating materials, and lubricants in electrical equipment. Disposal of items containing less than50 parts per million (ppm) PCB is generally not regulated. A certain kind of small capacitor contains PCB with a mean of47.7ppm and a standard deviation of7ppm. The Environmental Protection Agency takes arandom sampleof38of these small capacitors, planning to regulate the disposal of such capacitors if the sample mean amount of PCB is49.5ppm 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.