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

48

ppm (parts per million) and a standard deviation of

6

ppm. A governmental agency takes a random sample of

37

of these small capacitors. The agency 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.