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Chapter 5: Q 1.1. The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations (page 303)
Explain why events A and B are mutually exclusive
Because , A and B are mutually exclusive.
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Airport security The Transportation Security Administration (TSA) is responsible for airport safety. On some flights, TSA officers randomly select passengers for an extra security check prior to boarding. One such flight had passengersin first class and in coach class. Some passengers were surprised when none of the passengers chosen for screening were seated in first class. We can use a simulation to see if this result is likely to happen by chance.
(a) State the question of interest using the language of probability.
(b) How would you use random digits to imitate one repetition of the process? What variable would you measure?
(c) Use the line of random digits below to perform one repetition. Copy these digits onto your paper. Mark directly on or above them to show how you determined the outcomes of the chance process.
Make a two-way table that displays the sample space.
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.
At the gym Suppose that of adults belong to health clubs, and of these health club members go to the club at least twice a week. What percent of all adults go to a health club at least twice a week? Write the information given in terms of probabilities, and use the general multiplication rule.
Languages in Canada Canada has two official languages, English and French. Choose a Canadian at random and ask, “What is your mother tongue?”
Here is the distribution of responses, combining many separate languages from the broad Asia/Pacific region:Language: English French Asian/Pacific Other Probability: ?
(a) What probability should replace “?” in the distribution? Why?
(b) What is the probability that a Canadian’s mother tongue is not English?
(c) What is the probability that a Canadian’s mother tongue is a language other than English or French?
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