HWAssignments_STA2023_E2

HWAssignments_STA2023_E2 - Answers can be found at the end...

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Answers can be found at the end of the document Assignment 7 1. Which of the following cannot be probabilities? 0.00143, 0.45, 1.02, 0, 1, 3, 17/18, 31/30, 3 2. If an experiment has 5 equally likely outcomes, what is the probability of each of the five outcomes? 3. In 2008, US colleges and universities awarded 3,081,000 degrees of which 620,000 were Master’s degrees. Use the data to find the probability that a randomly selected 2008 graduate from a US college or university earned his/her Master’s degree. 4. In 2009, the total enrollment at US colleges and universities consisted of 10,628,000 women and 8,071,000 men. If a student was randomly selected from one of the colleges or universities in 2009, what is the probability that the student was a woman? 5. What is the probability that a randomly selected person was born on New Year’s Day (ignore leap year)? 6. In 2007, 31,228,000 US citizens traveled overseas. 12,304,000 of those travelers visited Europe. Assume the US population in 2007 was 301,290,000. Use this information to estimate the probability that a randomly selected US citizen visited Europe in 2007. 7. There are 21,297,000 fifteen to nineteen year olds in the USA. The Census Bureau estimates the number of 15 to 19 year olds living alone to be 143,000. What is the probability a randomly selected fifteen to nineteen year old does not live on his/her own? 8. Out of 77,908,000 families in the US, 1,969,000 make $250,000 or above, and three times as many earn less than $15,000 per year. What is the probability that a randomly selected family does not make $250,000 or more per year? When rolling a pair of fair die, there are 36 possible outcomes. Use the table below, which list all 36 outcomes to answer questions 9 - 11: 1,1 2,1 3,1 4,1 5,1 6,1 1,2 2,2 3,2 4,2 5,2 6,2 1,3 2,3 3,3 4,3 5,3 6,3 1,4 2,4 3,4 4,4 5,4 6,4 1,5 2,5 3,5 4,5 5,5 6,5 1,6 2,6 3,6 4,6 5,6 6,6
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9. What is the probability that the person rolls a total of 7? 10. What is the probability that the person rolls a total of 4? 11. What is the probability that the person rolls an 8? Assignment 8 12. For $20 per person P.F. Chang’s offers a fixed price menu option that allows you to choose a cup of soup, a starter, an entrée, and a dessert. There are two soups, six starters, 14 entrees, and eight desserts to choose from to form your meal. How many possible unique meals can you create using these options? 13. An old fashion “combination” bike lock has three numbered wheels side by side on a steel cylinder. Each wheel has the digits 0 – 9 on them. The “combination” consists of a three digit integer such as 123. How many “combinations” are possible by choosing a digit from each wheel (note: it is okay to repeat digits, such as 111). 14.
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HWAssignments_STA2023_E2 - Answers can be found at the end...

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