Chapter 5: Q T5.7. (page 337)
What is the probability that a student has a GPA under given that he or she has skipped many classes?
Short Answer
The correct option is
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Chapter 5: Q T5.7. (page 337)
What is the probability that a student has a GPA under given that he or she has skipped many classes?
The correct option is
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Common names The Census Bureau says that the most common names in the United States are (in order) Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for of all U.S. residents. Out of curiosity, you look at the authors of the textbooks for your current courses. There are authors in all. Would you be surprised if none of the names of these authors were among the most common? (Assume that authors’ names are independent and follow the same probability distribution as the names of all residents.)
Inspecting switches A shipment contains switches. Of these, are bad. An inspector draws switches at random, one after the other.
(a) Draw a tree diagram that shows the sample space of this chance process.
(b) Find the probability that both switches are defective.
Simulation blunders Explain what’s wrong with each of the following simulation designs.
(a) According to the Centers for Disease Control and Prevention, about of U.S. adults were obese in . To simulate choosing adults at random and seeing how many are obese, we could use two digits. Let to represent obese and to represents not obese. Move across a row in Table D, two digits at a time, until you find 8 distinct numbers (no repeats). Record the number of obese people selected.
(b) Assume that the probability of a newborn being a boy is . To simulate choosing a random sample of babies who were born at a local hospital today and observing their gender, use one digit. Use ran dint (0,9) on your calculator to determine how many babies in the sample are male.
Urban voters The voters in a large city are white, black, and Hispanic. (Hispanics may be of any race in official statistics, but here we are speaking of political blocks.) A mayoral candidate anticipates attracting of the white vote, of the black vote, and of the Hispanic vote. Draw a tree diagram to represent this situation. What percent of the overall vote does the candidate expect to get? Use the four-step process to guide your work.
Random assignment Researchers recruited ±¹´Ç±ô³Ü²Ô³Ù±ð±ð°ù²õ—men and women—to take part in an experiment. They randomly assigned the subjects
into two groups of people each. To their surprise, of the men were randomly assigned to the same treatment. Should they be surprised? Design and carry out a simulation to estimate the probability that the random assignment puts or more men in the same group. Follow the four-step
process.
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