polychlorinated biphenyl (PCP) is an organic pollutant that can be found in electrical equipment. A certain kind of small capacitor contains PCP 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 40 of these small capacitors. The agency plans to regulate the disposal of such capacitors if the sample mean amount of PCP is 49.5 ppm or more. Find the probability that the disposal of such capacitors will be regulated. Carry your intermediate computations to at least 4 decimal places.

Round your answer to at least 3 decimal places.