Chapter 5: Q T5.6. (page 336)
What is the probability that a student has a GPA under or has skipped many classes?
Short Answer
The correct answer is
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Chapter 5: Q T5.6. (page 336)
What is the probability that a student has a GPA under or has skipped many classes?
The correct answer is
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Tossing coins Refer to Exercise 40. Define event : get more heads than tails. Find .
A Titanic disaster In the luxury liner Titanic, on its first voyage across the Atlantic, struck an iceberg and sank. Some passengers got off the ship in lifeboats, but many died. The two-way table gives information about adult passengers who lived and who died, by class of travel. Suppose we choose an adult passenger at random.
(a) Given that the person selected was in first class, what鈥檚 the probability that he or she survived?
(b) If the person selected survived, what鈥檚 the probability that he or she was a third-class passenger?

Recycling Do most teens recycle? To find out, an AP Statistics class asked an SRS of 100 students at their school whether they regularly recycle. How many students in the sample would need to say 鈥淵es鈥 to provide convincing evidence that more than half of the students at the school recycle? The Fathom dot plot below shows the results of taking 200 SRSs of 100 students from a population in which the true proportion who recycle is 0.50.
(a) Suppose 55 students in the class鈥檚 sample say 鈥淵es.鈥 Explain why this result does not give convincing evidence that more than half of the school鈥檚 students recycle.
(b) Suppose 63 students in the class鈥檚 sample say 鈥淵es.鈥 Explain why this result gives strong evidence that a majority of the school鈥檚 students recycle.

Role-playing games Computer games in which the players take the roles of characters are very popular. They go back to earlier tabletop games such as Dungeons & Dragons. These games use many different types of dice. A four-sided die has faces with and spots.
(a) List the sample space for rolling the die twice (spots showing on first and second rolls).
(b) What is the assignment of probabilities to outcomes in this sample space? Assume that the die is perfectly balanced.
Liar, liar! Sometimes police use a lie detector (also known as a polygraph) to help determine whether a suspect is telling the truth. A lie detector test isn鈥檛 foolproof鈥攕ometimes it suggests that a person is lying when they鈥檙e actually telling the truth (a 鈥渇alse positive鈥). Other times, the test says that the suspect is being truthful when the person is actually lying (a 鈥渇alse negative鈥). For one brand of polygraph machine, the probability of a false positive is .
(a) Interpret this probability as a long-run relative frequency.
(b) Which is a more serious error in this case: a false positive or a false negative? Justify your answer.
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