The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.8 ppm and standard deviation 1.7 ppm. 36 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. What is the distribution of X ? X ~ N(,) What is the distribution of ¯x ? ¯x ~ N(,) What is the probability that one randomly selected city's waterway will have less than 9.3 ppm pollutants? For the 36 cities, find the probability that the average amount of pollutants is less than 9.3 ppm. For part d), is the assumption that the distr

The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 69 minutes and a standard deviation of 18 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.Find the probability that a randomly selected person at the hot springs stays longer then 59 minutes. Incorrect The park service is considering offering a discount for the 7% 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? Incorrect minutes. Find the Inter Quartile Range (IQR) for time spent at the hot springs.Q1: Incorrect minutesQ3: Incorrect minutesIQR: Incorrect minutes

Suppose that the number of Facebook friends users have is normally distributed with a mean of 125 and a standard deviation of about 46. Assume ten individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For the group of 10, find the probability that the average number of friends is less than 145.  Find the third quartile for the average number of Facebook friends.  Round to 2 decimal places.  For part b), is the assumption that the distribution is 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. %