**Title: Understanding Plastic Waste Generation in the U.S.****Introduction**Environmentalists are increasingly concerned about the overconsumption of plastics, fearing it may lead to catastrophic environmental impacts. In the U.S., the daily per capita plastic waste generation follows a normal distribution with a mean of 350 grams and a standard deviation of 20 grams. The questions below explore the probabilities and statistics related to plastic waste.**Questions and Concepts**a) **Probability of Generating 325 Grams or More** Determine the probability that an average American generates at least 325 grams of plastic waste per day.b) **Probability of Generating Between 355 and 369 Grams** Calculate the probability that an average American generates between 355 and 369 grams of plastic waste per day.c) **71.9% of Americans Generate Less Waste** Identify the amount of waste per day that 71.9% of all Americans generate less than.d) **71.9% of Americans Generate at Least** Determine the amount of waste per day that 71.9% of Americans generate at least.e) **Population Waste Generation** Given a U.S. population size of 330 million, calculate how many Americans produce more than 370 grams of waste per day.f) **Probability Among Two Random Americans** If two Americans are selected at random, find the probability that at least one of them will produce more than 370 grams of waste per day.**Conclusion**These questions help us understand the distribution and impact of plastic waste generation in the U.S., highlighting areas where environmental action may be needed. Understanding these probabilities can inform policies and individual actions towards reducing plastic waste.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose that masses of newborns are normally distributed with a mean of 6.6 lbs. and a standard deviation of 1.4 lbs. A newborn is potentially at risk if the baby’s mass falls in the lowest 2.5%. These babies will have a mass of less than how many pounds? final answer rounded to 1 decimal place.
Systolic blood pressure is a measure of the force your heart exerts on the walls of your arteries each time it beats. In adults, systolic blood pressure measurements follow a normal distribution with a mean value of 116.91 mmHg (millimeters of mercury) and a standard deviation of 6.354 mmHg. Please use this information to answer the following question.a. Suppose an adult's systolic blood pressure is considered to be "low" if it is below 102 mmHg. What is the probability that a given adult will have low systolic blood pressure?Answer: (Round to at least FOUR digits after the decimal if necessary.)
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 12 million dollars and a standard deviation of 1.1 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 20% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
2. Let Y denote the average starting salary for 2014 U.S. college graduates, measured in dollars. Suppose that the average annual salary is $56,000 dollars, with a standard deviation of 8,000. Find the mean and standard deviation when salary is measured in thousands of dollars
please consider the probability and statistics question.
5. The heights of 1,000 college students are normally distributed about a mean value of 170 centimeters. The standard deviation is 7.2 centimeters. Find how many students are smaller than 158 centimeters.
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 10 million dollars and a standard deviation of 1.2 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 15% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. ☐ million dollars X 5
The amount of time people spend at the gym follows a uniform distribution from 45 to 90 minutes. What is the standard deviation for this uniform distribution?
Suppose that the quarterly sales levels among healthcare information systems companies are approximately normally distributed with a mean of 12 million dollars and a standard deviation of 1.1 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 15% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
Scores on the SAT test have a mean of 1518 and a standard deviation of 325. If 100 students are randomly chosen and the mean of their SAT scores is calculated, find the probability that the sample mean is less than 1460.

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