The average number of miles (in thousands) that a car's tire will function before needing replacement is 69 and the stan
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The average number of miles (in thousands) that a car's tire will function before needing replacement is 69 and the stan
Suppose that the average number of Facebook friends users have is normally distributed with a mean of 140 and a standard deviation of about 59. Assume seventeen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ? - NC b. For the group of 17, find the probability that the average number of friends is less than 133. c. Find the first quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? O Yes No
The average production cost for major movies is 64 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 42 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N b. What is the distribution of ? - N c. For a single randomly selected movie, find the probability that this movie's production cost is between 63 and 67 million dollars. d. For the group of 42 movies, find the probability that the average production cost is between 63 and 67 million dollars. e. For part d), is the assumption of normal necessary? O NOO Yes Hint.
The amount of pollutants that are found in waterways near large cities is normally distributed with mean 10 ppm and standard deviation 1.3 ppm. 37 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - NG b. What is the distribution of 2? - NG c. What is the probability that one randomly selected city's waterway will have more than 9.5 ppm pollutants? d. For the 37 cities, find the probability that the average amount of pollutants is more than 9.5 ppm. e. For part d), is the assumption that the distribution is normal necessary? O Yes No f. Find the IQR for the average of 37 cities. Q1 = ppm Q3 = ppm IQR: ppm
Each sweat shop worker at a computer factory can put together 4.2 computers per hour on average with a standard deviation of 0.8 computers. 42 workers are randomly selected to work the next shift at the factory. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X-NO b. What is the distribution of i? - NC c. What is the distribution of Sr? -N d. If one randomly selected worker is observed, find the probability that this worker will put together between 4 and 4.1 computers per hour. e. For the 42 workers, find the probability that their average number of computers put together per hour is between 4 and 4.1. f. Find the probability that a 42 person shift will put together between 168 and 172.2 computers per hour. g. For part e) and f), is the assumption of normal necessary? O Yes No h. A sticker that says "Great Dedication will be given to the groups of 42 workers who have the top 20% productivity. What is the least total number of computers produced by a group that receives a sticker? computers per hour (round to the nearest computer)
The average time to run the 5K fun run is 22 minutes and the standard deviation is 2.7 minutes. 17 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - NG c? 2- b. What is the distribution of 2? - N c. What is the distribution of « -N d. If one randomly selected runner is timed, find the probability that this runner's time will be between 21.0178 and 21.8178 minutes. e. For the 17 runners, find the probability that their average time is between 21.0178 and 21.8178 minutes. f. Find the probability that the randomly selected 17 person team will have a total time less than 384.2. g. For part e) and f), is the assumption of normal necessary? O No Yes h. The top 15% of all 17 person team relay races will compete in the championship round. These are the 15% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes
A computer selects a number X from 3 to 10 randomly and uniformly. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U b. Suppose that the computer randomly picks 35 such numbers. What is the distribution of 2 for this selection of numbers. Z - NO c. What is the probability that the average of 35 numbers will be less than 7.12