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

Sandblasters Eight teams of the world’s best sand sculptors gathered for “extreme” competition. At five points during the competition, a randomly selected team’s 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’s 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 “zippered” 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

Waiting to park (1.3) Do drivers take longer to leave their parking spaces when someone is waiting? Researchers hung out in a parking lot and collected

some data. The graphs and numerical summaries below display information about how long it took drivers to exit their sp\aces.

(a) Write a few sentences comparing these distributions.

(b) Can we conclude that having someone waiting causes drivers to leave their spaces more slowly? Why or why not?

Explain why events A and B are mutually exclusive

Foreign-language study Choose a student in grades 9to 12at random and ask if he or she is studying a language other than English. Here is the distribution of results:

(a) What’s the probability that the student is studying a language other than English?

(b) What is the conditional probability that a student is studying Spanish given that he or she is studying some language other than English?

You want to estimate the probability that the player makes 5or more of 10shots. You simulate 10 shots 25 times and get the following numbers of hits:

5754153434534463417455657 What is your estimate of the probability?

(a) 5/25, or 0.20 (d) 16/25, or 0.64

(b) 11/25, or 0.44 (e) 19/25, or 0.76

(c) 12/25, or 0.48

Spinning a quarter With your forefinger, hold a new quarter (with a state featured on the reverse) upright, on its edge, on a hard surface. Then flick it with your other forefinger so that it spins for some time before it falls and comes to rest. Spin the coin a total of 25 times, and record the results.

(a) What’s your estimate for the probability of heads? Why?

(b) Explain how you could get an even better estimate.
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