9China has 1.2 billion people. Marketers want to know which international brands they have heard of. A large study showed that 62% of all Chinese adults have heard of Coca-Cola. You want to simulate choosing a Chinese at

random and asking if he or she has heard of Coca-Cola. One correct way to assign random digits to simulate the answer is:

(a) One digit simulates one person’s answer; odd means “Yes” and even means “No.”

(b) One digit simulates one person’s answer; 0to 6mean “Yes” and 7to 9mean “No. ”

(c) One digit simulates the result; 0to tells how many in the sample said “Yes.”

(d) Two digits simulate one person’s answer; 00 to 61 mean “Yes” and 62 to 99 mean “No. ”

(e) Two digits simulate one person’s answer; 00 to 62 mean “Yes” and 63 to 99 mean “No. ”

Short Answer

Expert verified

The correct option is (d).

Step by step solution

01

Step 1. Given

China has a population of 1.2 billion people. Coca-Cola has been heard of by 62% of the population.

02

Step 2. Concept

The probability of an event=numberoffavourableoutcomestotalnumberofoutcomes

03

Step 3. Calculation

Because it is showing the options 00 to 61, the assignment could be completed by selecting option (d) because 00 is being counted as one of the 62 percentage points that have said yes.

As a result, the best solution is (D).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Education among young adults Chooses a young adult (aged 25 to 29) at random. The probability is 0.13 that the person chosen did not complete high school, 0.29 that the person has a high school diploma but no further education, and 0.30 that the person has at least a bachelor’s 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’s 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?

Are you feeling stressed? (4.1) A Gallup Poll asked whether people experienced stress “a lot of the day yesterday.” Forty percent said they did. Gallup’s report said, “Results are based on telephone interviews with 178,545 national adults,

aged 18 and older, conducted Jan. 2June30,2009.4

(a) Identify the population and the sample.

(b) Explain how undercover could lead to bias in this survey.

Free throws A basketball player has probability 0.75of making a free throw. Explain how you would use each chance device to simulate one free throw by the player.

(a) A six-sided die

(b) Table D of random digits

(c) A standard deck of playing cards

A Titanic disaster In 1912the 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’s the probability that he or she survived?

(b) If the person selected survived, what’s the probability that he or she was a third-class passenger?

Is this valid? Determine whether each of the following simulation designs is valid. Justify your answer.

(a) According to a recent poll, 75% of American adults regularly recycle. To simulate choosing a random sample of 100 U.S. adults and seeing how many

of them recycle, roll a 4-sided die 100 times. A result of 1,2, or 3 means the person recycles; a 4 means that the person doesn’t recycle.

(b) An archer hits the center of the target with 60% of her shots. To simulate having her shoot 10 times, use a coin. Flip the coin once for each of the 10

shots. If it lands heads, then she hits the center of the target. If the coin lands tails, she doesn’t.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free