Given a random measurement process

(x)

with a population mean

\\\\mu

of 6.75 and population standard deviation

\\\\sigma

of 0.75 , perform the following calculations while assuming that the underlying random process is Gaussian:\ a. Give the probability that the next measurement

x_(i)

is between 5 and 7 (i.e.,

x_(i)P(x

))

((

6.25) )\ 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?"

1. Given a random measurement process (X) with a population mean of 6.75 and population standard deviation of 0.75 , perform the following calculations while assuming that the underlying random process is Gaussian: a. Give the probability that the next measurement xi is between 5 and 7 (i.e., P(5