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 of48.2

ppm and a standard deviation of6

ppm. The Environmental Protection Agency takes a random sample of37

of these small capacitors, planning to regulate the disposal of such capacitors if the sample mean amount of PCB is49.5

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.