Chapter 8.4, Problem 38E

(a)

To determine

To calculate: The probability that a piece of tubing selected at random measures greater than 40.05 in. using standard normal distribution if the lengths of a machine precision- cuts tubing are distributed normally with the mean $\mu =40.00\text{ in}\text{.}$ and standard deviation $\sigma =0.03\text{ in}\text{.}$

(b)

To determine

To calculate: The probability that a piece of tubing selected at random measures less than 40.045 in. using standard normal distribution if the lengths of a machine precision- cuts tubing are distributed normally with the mean $\mu =40.00\text{ in}\text{.}$ and standard deviation $\sigma =0.03\text{ in}\text{.}$

(c)

To determine

To calculate: The probability that a piece of tubing selected at random measures lies between 39.95 in. and 40.05 in. using standard normal distribution if the lengths of a machine precision- cuts tubing are distributed normally with the mean $\mu =40.00\text{ in}\text{.}$ and standard deviation $\sigma =0.03\text{ in}\text{.}$