/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 15. Simulation blunders Explain what... [FREE SOLUTION] | 91影视

91影视

Simulation blunders Explain what鈥檚 wrong with each of the following simulation designs.

(a) A roulette wheel has 38colored slots鈥38 red, 18 black, and 2green. To simulate one spin of the wheel, let numbers 00 to 18 represent red, 19 to 37

represent black, and 38 to 40 represent green.

(b) About 10% of U.S. adults are left-handed. To simulate randomly selecting one adult at a time until you find a left-hander, use two digits. Let 01 to 10 represent being left-handed and 11 to 00 represent being right-handed. Move across a row in Table D, two digits at a time, skipping any numbers that have already appeared, until you find a number between 01 and 10. Record the number of people selected.

Short Answer

Expert verified

Part (a) The Simulation is incorrect.

Part (b) About 10%people are left-handed. In the Simulation, they're almost correct.

Step by step solution

01

Part (a) Step 1. Given Information 

The simulation designs are available for download. It is necessary to determine what is wrong with each of them.

02

Part (a) Step 2. Concept Used  

We can't foresee the outcomes of a chance process, yet they have a regular distribution over a large number of repetitions. According to the law of large numbers, the fraction of times a specific event occurs in numerous repetitions approaches a single number. The likelihood of a chance outcome is its long-run relative frequency. A probability is a number between 0 (never happens) and 1(happens frequently) (always occurs).

03

Part (a) Step 3. Explanation   

There are18red slots, 18black slots, and two green slots on a roulette wheel. Red is represented by the numerals 00to 18, which are 19numbers, i.e. (00,01,02,03,04,05,06,07,08,09,10,11,12,13,14,15,16,17,18)

Black is represented by the numerals 19to 37, which are numbers, i.e.

(19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37)

Green is represented by the numerals 38through 40, which are three numbers (38,39,40)We then notice that we have one number too many for each color, indicating that the stimulation, in this case, is incorrect.

04

Part (b) Step 1. Explanation  

Looking at this section, we can conclude that it is not suitable to skip over numbers that have already occurred because the likelihood of selecting a left-handed person will no longer be 10%If the first person chosen was 09, for example, that person was left-handed. If we omit this number, the number 0008corresponds to left-handed persons, whereas the numbers correspond to right-handed people, implying that we have 9out of 9odds of selecting a left-handed person, which is no longer 10%

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 91影视!

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

Who eats breakfast? The two-way table describes the 595 students who responded to a school survey about eating breakfast. Suppose we select a student at random. Consider events B: eats breakfast regularly, and M: is male.

(a) Find P(B|M) Explain what this value means.

(b) FindP(M|B) Explain what this value means.

Stoplight On her drive to work every day, Ilana passes through an intersection with a traffic light. The light has a probability of 1/3 of being green when she gets to the intersection. Explain how you would use each chance device to simulate whether the light is red or green on a given day.

(a) A six-sided die

(b) Table D of random digits

(c) A standard deck of playing cards

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鈥檚 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鈥檚 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?

Explain why P(AorB)P(A)+P(B). Then use the general addition rule to findP(AorB).

Playing 鈥淧ick 4鈥 The Pick 4games in many state lotteries announce a four-digit winning number each day. You can think of the winning number as a four-digit group from a table of random digits. You win (or share) the jackpot if your choice matches the winning number. The winnings are divided among all players who matched the winning number. That suggests a way to get an edge.

(a) The winning number might be, for example, either 2873or 9999. Explain why these two outcomes have exactly the same probability.

(b) If you asked many people whether 2873 or 9999 is more likely to be the randomly chosen winning number, most would favor one of them. Use the information in this section to say which one and to explain why. How might this affect the four-digit number you would choose?

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.