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...

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 than 50 parts per milion(ppm) PCB is generally not regulated. A certain kind of small capicitor contains PCB with a mean of 47.6 ppm and a standard deviation of 7ppm. The EPA takes random sample of 40 of these small capacitors, planning to regulate the disposal of such capicitors if the sample mean amount of PCB is 49 ppm or more. Find the probability that the disposal of such capacitors will be regulated. Carry intermediate computations to at least 4 decimal places. Round answer to at 3 decimal places.