Question

In the manufacture of electroluminescent lamps, Several Layers of ink are deposited Onto a plastic Substrate . The thickness of these Layers is critical if Specification regarding the Final Color and intensity of Light are to be met. Let x and y denote the thickness of two different layers of ink . It is known that a is normally distributed with a mean 01 mm and Standard deviation of 0.00031 mm, and y is normally distributed with a mean of 0.23 mm and a standard deviation of o.oool7 mm. The value of so specification Call for a Lamp to have a thickness of the ink Corresponding to a in the range of 0.099535 to 0.100465 mm and y in the range of 0.22966 to 0.23034 mm * What is the probability that a randomly selected Lamp will conform to the specifications?

Answer 1

a = 0.1 mm y = 0: 23 mm x = 0.00031 mm Op = 0.00019 mm т! 1 мм рто од 10 = P100715 35 5 X 50 100 465 40.22966 y sa zauzul Plod9535 515 0.100urs) *P(0.22966.sy. 0:23034) 99535 -0. -0 0100M.G.S...o... 0.0003. .....0.0.3.1 a De P10-22966 0:23 5 2 < 0: 23034040-2 Plotse 251.S) + P(-25262) = 0.8664 x 0.9544 = 0.826.9 (The read. Probability) .......000.................. ooo ..