A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 210.2-cm and a standard deviation of 2.3-cm. For shipment, 13 steel rods are bundled together. Round all answers to four decimal places if necessary. What is the distribution of XX? XX ~ N(,) For a single randomly selected steel rod, find the probability that the length is between 209.8-cm and 210.7-cm.  For a bundled of 13 rods, find the probability that the average length is between 209.8-cm and 210.7-cm.

Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 146 minutes with a standard deviation of 13minutes. Consider 49 of the races.Let X = the average of the 49 races. Find the 60th percentile for the average of these 49 marathons. (Round your answer to two decimal places.)min

The weight of garbage produced per household per week has an average value of approximately 9.3 pounds. The standard deviation of garbage per household per week has been measured to be 2.7 pounds. You have a garbage hauling company and need to know the probability of hauling heavy loads of garbage. How would you calculate the probability that your company will be hauling garbage loads greater than 12 pounds per household during a weekly pick-up? probability. Set up your calculation correctly. You DO NOT need to calculate the

The life of light bulbs is distributed normally. The standard deviation of the lifetime is 25 hours and the mean lifetime of a bulb is 510 hours. Find the probability of a bulb lasting for at most 552 hours. Round your answer to four decimal places.

The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?

Assume that adults have IQ scores that are normally distributed with a mean of µ = 105 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ between 85 and 125. Click to view page 1 of the table. Click to view page 2 of the table. ... The probability that a randomly selected adult has an IQ between 85 and 125 is (Type an integer or decimal rounded to four decimal places as needed.)

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1539 and the standard deviation was 315. The test scores of four students selected at random are 1940, 1290, 2240, and 1420. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1940 is. (Round to two decimal places as needed.) The Z-score for 1290 is. (Round to two decimal places as needed.) The Z-score for 2240 is. (Round to two decimal places as needed.) The Z-score for 1420 is. (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The unusual value(s) is/are. CD (Use a comma to separate answers as needed.) OB. None of the values are unusual.

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1458 and the standard deviation was 312. The test scores of four students selected at random are 1860, 1220, 2150, and 1340. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1860 is (Round to two decimal plaes as needed.)