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
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Free downloads? Illegal music downloading has become a big problem: of Internet users download music files, and of downloaders say they
don’t care if the music is copyrighted.15 What percent of Internet users download music and don’t care if it’s copyrighted? Write the information given in terms of probabilities, and use the general multiplication rule.
Get rich Refer to Exercise 63.
(a) Find P(“a good chance” | female).
(b) Find P(“a good chance”).
(c) Use your answers to (a) and (b) to determine whether the events “a good chance” and “female” are
independent. Explain your reasoning.
Who eats breakfast? Refer to Exercise 68. Are events B and M independent? Justify your answer.
Scrabble Refer to Exercise . About of the time, the first player in Scrabble can “bingo” by playing all tiles on the first turn. How many games
of Scrabble would you expect to have to play, on average, for this to happen? Design and carry out a simulation to answer this question. Follow the four step
process.
Taking the train According to New Jersey Transit, the 8:00 a.m. weekday train from Princeton to New York City has a 90% chance of arriving on time. To test this claim, an auditor chooses 6 weekdays at random during a month to ride this train. The train arrives late on 2 of those days. Does the auditor have convincing evidence that the company’s claim isn’t true? Design and carry out a simulation to answer this question. Follow the four-step process.
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