# Question: Steel rods are manufactured with a mean length of 25

Steel rods are manufactured with a mean length of 25 centimeters (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed, with a standard deviation of 0.07 cm.

(a) What proportion of rods has a length less than 24.9 cm?

(b) Any rods that are shorter than 24.85 cm or longer than 25.15 cm are discarded. What proportion of rods will be discarded?

(c) Using the results of part (b), if 5000 rods are manufactured in a day, how many should the plant manager expect to discard?

(d) If an order comes in for 10,000 steel rods, how many rods should the plant manager manufacture if the order states that all rods must be between 24.9 cm and 25.1 cm?

(a) What proportion of rods has a length less than 24.9 cm?

(b) Any rods that are shorter than 24.85 cm or longer than 25.15 cm are discarded. What proportion of rods will be discarded?

(c) Using the results of part (b), if 5000 rods are manufactured in a day, how many should the plant manager expect to discard?

(d) If an order comes in for 10,000 steel rods, how many rods should the plant manager manufacture if the order states that all rods must be between 24.9 cm and 25.1 cm?

## Answer to relevant Questions

Ball bearings are manufactured with a mean diameter of 5 millimeters (mm). Because of variability in the manufacturing process, the diameters of the ball bearings are approximately normally distributed, with a standard ...The number of chocolate chips in an 18-ounce bag of Chips Ahoy! chocolate chip cookies is approximately normally distributed, with a mean of 1262 chips and a standard deviation of 118 chips, according to a study by cadets of ...A random sample of O-rings was obtained, and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally ...The probability that exactly eight defective parts are in the shipment A discrete random variable is given. Assume the probability of the random variable will be approximated using the normal distribution. Describe the area ...n = 80, p = 0.15, x = 18 Compute P(x) using the binomial probability formula. Then determine whether the normal distribution can be used as an approximation for the binomial distribution. If so, approximate P(x) and compare ...Post your question