Learning Materials
Features
Discover
Chapter 5: Q 8. (page 294)
Keep on tossing The figure below shows the results of two different sets of coin tosses. Explain what this graph says about chance behavior in the short run and the long run.
The probability of getting ahead is around a third of the time
Over 30 million students worldwide already upgrade their learning with 91影视!
All the tools & learning materials you need for study success - in one app.
Get started for free
Ten percent of U.S. households contain or more people. You want to simulate choosing a household at random and recording whether or not it contains or
more people. Which of these are correct assignments of digits for this simulation? (a) Odd = Yes (or more people); Even = No (not or more people)
(b) = Yes; = No
(c) = Yes; = No
(d) All three are correct.
(e) Choices (b) and (c) are correct, but (a) is not.
Blood types All human blood can be typed as one of or but the distribution of the types varies a bit with race. Here is the distribution of the blood type of a randomly chosen black American: Blood type: Probability: ?
(a) What is the probability of type AB blood? Why?
(b) What is the probability that the person chosen does not have type blood?
(c) Maria has type blood. She can safely receive blood transfusions from people with blood types and What is the probability that a randomly chosen black American can donate blood to Maria?
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鈥� names are independent and follow the same probability distribution as the names of all residents.)
The birthday problem What鈥檚 the probability that in a randomly selected group of unrelated people, at least two have the same birthday? Let鈥檚 make two
assumptions to simplify the problem. First, we鈥檒l ignore the possibility of a February birthday. Second, we assume that a randomly chosen person is equally likely to be born on each of the remaining days of the year.
(a) How would you use random digits to imitate one repetition of the process? What variable would you measure?
(b) Use technology to perform repetitions. Record the outcome of each repetition.
(c) Would you be surprised to learn that the theoretical probability is ? Why or why not?
Education among young adults Chooses a young adult (aged to ) at random. The probability is that the person chosen did not complete high school, that the person has a high school diploma but no further education, and that the person has at least a bachelor鈥檚 degree.
(a) What must be the probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor鈥檚 degree? Why?
(b) What is the probability that a randomly chosen young adult has at least a high school education? Which rule of probability did you use to find the
answer?
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine