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What is the probabiluty that randomly selected plant gets fined oe year for both CO2 and SO2 pollution in the same year? c. What is the expected value olf the envitonmental fines that a randomly seleceted plant have to pay one year?

What is the probabiluty that randomly selected plant gets fined oe year for both CO2 and SO2 pollution in the same year? c. What is the expected value olf the envitonmental fines that a randomly seleceted plant have to pay one year?

Human Anatomy & Physiology (11th Edition)
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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b. What is the probabiluty that randomly selected plant gets fined oe year for both CO2 and SO2 pollution in the same year?

c. What is the expected value olf the envitonmental fines that a randomly seleceted plant have to pay one year?

Context for questions A2-A4. Normal distribution. Question A2. You advice a think tank on how to impose new environmental regulations on old electricity generation plants. If the electricity plant produces on average more than 1.5 kilograms of CO2 per kWh during a year, the firm will be fined with $500,000 per year. If the firm also produces more than 10 grams/kWh of SO2 on average per year, it will receive a penalty of $600,000 per year. Suppose the yearly average CO2 pollution of electricity generation plants in the United States follows a normal distribution with a mean 0.96 and a standard deviation of 0.3. Assume the annual average SO2 pollution of electricity generators also follows a normal distribution, with mean 7 grams/kWh and standard deviation of 4 grams/kWh. For simplicity, suppose the pollution of CO2 and S02 every year are thdependent events (the pellution in 2008 does not depend on the pollution of 2007, and the SO2 pollution is also independent of the CO2 pollution). A2. What is the probability that a randomly selected plant gets fined 3 years in a row for excessive pollution of CO2?
Transcribed Image Text:Context for questions A2-A4. Normal distribution. Question A2. You advice a think tank on how to impose new environmental regulations on old electricity generation plants. If the electricity plant produces on average more than 1.5 kilograms of CO2 per kWh during a year, the firm will be fined with $500,000 per year. If the firm also produces more than 10 grams/kWh of SO2 on average per year, it will receive a penalty of $600,000 per year. Suppose the yearly average CO2 pollution of electricity generation plants in the United States follows a normal distribution with a mean 0.96 and a standard deviation of 0.3. Assume the annual average SO2 pollution of electricity generators also follows a normal distribution, with mean 7 grams/kWh and standard deviation of 4 grams/kWh. For simplicity, suppose the pollution of CO2 and S02 every year are thdependent events (the pellution in 2008 does not depend on the pollution of 2007, and the SO2 pollution is also independent of the CO2 pollution). A2. What is the probability that a randomly selected plant gets fined 3 years in a row for excessive pollution of CO2?
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