A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 237-cm and a standard deviation of 2.5-cm. For shipment, 16 steel rods are bundled together. Round all answers to four decimal places if necessary. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For a single randomly selected steel rod, find the probability that the length is between 237.3-cm and 237.7-cm.  For a bundled of 16 rods, find the probability that the average length is between 237.3-cm and 237.7-cm.  For part d), is the assumption of normal necessary? YesNo

The average THC content of marijuana sold on the street is 10.9%. Suppose the THC content is normally distributed with standard deviation of 2%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible, a. What is the distribution of X? X ~ N( 2 b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 12.1. c. Find the 60th percentile for this distribution. %

The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 62 minutes and a standard deviation of 16 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected person at the hot springs stays longer then 53 minutes. c. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount?  minutes.d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.Q1:  minutesQ3:  minutesIQR:  minutes

Assume that adults have IQ scores that are normally distributed with a mean of mμ=100 and a standard deviation σ= 15. Find the probability that a randomly selected adult has an IQ less than 127. The probability that a randomly selected adult has an IQ less tha 127 is