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Chapter 5: Q R5.3. (page 334)

Sandblasters Eight teams of the world鈥檚 best sand sculptors gathered for 鈥渆xtreme鈥� competition. At five points during the competition, a randomly selected team鈥檚 sculpture was blown up. That team was then forced to build

a new sculpture from scratch. No team could be selected for destruction more than once. Last year鈥檚 winning team did not have a sculpture blown up either last year or this year. Other teams were suspicious. Should they be? Design and carry out a simulation to answer this question. (Team Sanding Ovation

won the contest with their 鈥渮ippered鈥� sculpture.)

  • Describe a probability model for a chance process.

Short Answer

Expert verified

The percentage of outcomes that don't include team1.

Step by step solution

01

Step 1. Given Information

Given that Die A has 2,2,2,2,6, and 6 spots on its faces, while Die B has 1,1,1,5,5, and5 spots on its faces. Let's pretend we're rolling both dice at the same time, and see what we can come up with.

02

Step 2. Concept

Probability=FavourableoutcomesTotaloutcomes

03

Step 3. Explanation

As a result, one out of every ten people is not wearing a seat belt in the third repeat. Then it's pointed out that one in every three repetitions has at least two people who aren't wearing repeats. The number of favorable outcomes divided by the total number of possible outcomes equals probability.

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Most popular questions from this chapter

Construct a tree diagram to represent this situation.

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

(a) According to a recent survey, 50% of people aged 13 and older in the United States are addicted to email. To simulate choosing a random sample of

20people in this population and seeing how many of them are addicted to email, use a deck of cards. Shuffle the deck well, and then draw one card at a

time. A red card means that person is addicted to email; a black card means he isn鈥檛. Continue until you have drawn 20cards (without replacement) for the sample.

(b) A tennis player gets 95%of his second serves in play during practice (that is, the ball doesn鈥檛 go out of bounds). To simulate the player hitting 5second serves, look at pairs of digits going across a row in Table D. If the number is between 00and 94, the service is in; numbers between 95and 99indicate that the service is out.

Color-blind men Refer to Exercise 25. Suppose we randomly select 4 U.S. adult males. What鈥檚 the probability that at least one of them is red-green

color-blind? Design and carry out a simulation to answer this question. Follow the four-step process.

Random assignment Researchers recruited 20惫辞濒耻苍迟别别谤蝉鈥�8men and 12women鈥攖o take part in an experiment. They randomly assigned the subjects

into two groups of 10people each. To their surprise, 6of the 8men were randomly assigned to the same treatment. Should they be surprised? Design and carry out a simulation to estimate the probability that the random assignment puts 6or more men in the same group. Follow the four-step

process.

Mac or PC? A recent census at a major university revealed that40% of its students primarily used Macintosh computers (Macs). The rest mainly used

PCs. At the time of the census, 67% of the school鈥檚 students were undergraduates. The rest were graduate students. In the census, 23% of respondents were graduate students who said that they used PCs as their

main computers. Suppose we select a student at random from among those who were part of the census.

(a) Assuming that there were 10,000 students in the census, make a two-way table for this chance process.

(b) Construct a Venn diagram to represent this setting.

(c) Consider the event that the randomly selected student is a graduate student who uses a Mac. Write this event in symbolic form using the two events of interest that you chose in (b).

(d) Find the probability of the event described in (c). Explain your method.
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