Given a random measurement process (X) with a population

Last updated: 8/31/2022

Given a random measurement process (X) with a population mean u of 12 and population standard deviation o of 1.5, perform the following calculations while assuming that the underlying random process is Gaussian: a. Give the probability that the next measurement x; is between 8 and 10 (i.e., P(8<X<10)) b. Give the probability that the next measurement x; is greater than 13 (i.e., P(X>12)) c. What is the precision error of this measurement process? Another way to ask this is question is "what interval would you expect the next measurement, or prediction interval, with a 95% confidence?"