At a pasta factory, a machine is used to create spaghetti noodles. The length (in cm) of each noodle is known to be normally distributed, with ?=28μ=28 and ?=0.5σ=0.5.
Find the value k such that only 22% of noodles have a length which is less than k. Give your answer to four decimal places.

At a pasta factory, a machine is used to create spaghetti noodles. The length (in cm)...
Steel rods are manufactured with a mean length of 28 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.06 cm. Click the icon to view a table of areas under the normal curve (a) What proportion o rods has a length less than 27.9 cm? Round to four decimal places as needed.)
A machine produces screws with a mean length of 1.4 cm and a standard deviation of 0.3 cm. Assuming a normal distribution, find the probabilities that a screw produced by this machine has lengths A) greater than 2.3 cm, and B) within 1.6 standard deviations of the mean. Click here to view page 1 of the table. Click here to view page 2 of the table. A) The probability that a screw is longer than 2.3 cm is (Round to...
Steel rods are manufactured with a mean length of 23 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normal distributed with a standard deviation of 0.08 Click the icon to view a table of areas under the normal curve (a) What proportion of rods has a length less than 22.9 cm? 0.0478 (Round to four decimal places as needed) (b) Any rods that are shorter than 22 87 om or longer than...
Steel rods are manufactured with a mean length of 23 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.09 cm. Complete parts (a) to (d). (a) What proportion of rods has a length less than 22.9 cm? (Round to four decimal places as needed.) (b) Any rods that are shorter than 22.78 cm or longer than 23.22 cm are discarded. What proportion of rods will...
чисто тер Steel rods are manufactured with a mean length of 29 centimeter (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. Complete parts (a) to (d). (a) What proportion of rods has a length less than 28.9 cm? 0.0764 (Round to four decimal places as needed.) (b) Any rods that are shorter than 28.84 cm or longer than 29.16 cm are discarded. What proportion...
The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.6 cm a. Find the probability that an individual distance is greater than 217.50 cm. b. Find the probability that the mean for 25 randomly selected distances is greater than 203.70 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is (Round to four...
The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.9 cm. a. Find the probability that an individual distance is greater than 212.50 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 200.70 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is . (Round to...
Steel rods are manufactured with a mean length of 29 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.08 cm. Complete parts (a) to (d). (a) What proportion of rods has a length less than 28.9 cm? nothing (Round to four decimal places as needed.) (b) Any rods that are shorter than 28.81 cm or longer than 29.19 cm are discarded. What proportion of rods...
Steel rods are manufactured with a mean length of 21 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.08 cm. Click the icon to view a table of areas under the normal curve. (a) What proportion of rods has a length less than 20,9 cm? (Round to four decimal places as needed.) (b) Any rods that are shorter than 20.81 cm or longer than 21.19...
The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 7.8 cm a. Find the probability that an individual distance is greater than 204.30cm. b. Find the probability that the mean for 15 randomly selected distances is greater than 193.20 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is (Round to four decimal...