Question: (25 points) A measurement system consists of a chromel-alumel thermocouple (with cold junction compensation), a millivolt-to-current converter and a recorder. The Table below gives the model equations, and parameters for each element. Assuming that all probability distributions are normal: Calculate the mean and standard deviation of the error probability distribution, when the input temperature is 117 C. Recorder Chromel-alumel thermocouple e.m.f-to-current converter Model equation E = C, +CT+C,72 i = KE+KyEAT, + K,AT, + a, Tw= Ki + az Mean values Co=0.00 K = 3.893 K2 = 6.25 C = 4.017 x 10-2 AT, = -10 2 = 25.0 C = 4.66 x 10-6 = -3.864 Ry = 1.95 x 10-4 R = 2.00 x10-3 Standard deviations Oc. = 6.93 x 10-2 Oq = 0.14, Oar, = 10 Oc = c = 0 = OK = Ox, = 0 OK, og = 0.30 Ok, = 0.0 = K+ NT) + a + Kylvi+RI [2.22] and the standard deviation is given by: 2 0o = al o + + al OK o + da o +... aly IN [2.23] Question: (25 points) A measurement system consists of a chromel-alumel thermocouple (with cold junction compensation), a millivolt-to-current converter and a recorder. The Table below gives the model equations, and parameters for each element. Assuming that all probability distributions are normal: Calculate the mean and standard deviation of the error probability distribution, when the input temperature is 117 C. Recorder Chromel-alumel thermocouple e.m.f-to-current converter Model equation E = C, +CT+C,72 i = KE+KyEAT, + K,AT, + a, Tw= Ki + az Mean values Co=0.00 K = 3.893 K2 = 6.25 C = 4.017 x 10-2 AT, = -10 2 = 25.0 C = 4.66 x 10-6 = -3.864 Ry = 1.95 x 10-4 R = 2.00 x10-3 Standard deviations Oc. = 6.93 x 10-2 Oq = 0.14, Oar, = 10 Oc = c = 0 = OK = Ox, = 0 OK, og = 0.30 Ok, = 0.0 = K+ NT) + a + Kylvi+RI [2.22] and the standard deviation is given by: 2 0o = al o + + al OK o + da o +... aly IN [2.23]