Color-blind men Refer to Exercise 25. Suppose we randomly select 4 U.S. adult males. What’s 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.

Short Answer

Expert verified

The outcome will be either 0 or 1 person who is colorblind to red and green.

Step by step solution

01

Step 1. Given Information    

The percentage of men in the United States who suffer from red-green color blindness is 0.07n=4 adults from the United States were randomly selected. Using the four-step design and simulation method, we must determine the likelihood that at least one of them is red-green colorblind.

02

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

Step 3. Explanation   

We'll use two-digit numbers to obtain the answer. Allow the numerals 00to 06to symbolize a person who is colorblind in the red-green spectrum. Allow the numbers 07to 99to represent a person who is not colorblind to red and green. Make a set of four two-digit numbers. Count the number of people who are colorblind in the red-green spectrum. You'll most likely get a result of 0 or 1 person who is colorblind to red and green.

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

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:6Language: English French Asian/Pacific Other Probability: 0.630.220.06?

(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?

Find P(E|L) and P(L|E) Which of these conditional probabilities tells you whether this college’s EPS students tend to earn lower grades than students in liberal arts and social sciences? Explain.

Lotto In the United Kingdom’s Lotto game, a player picks six numbers from 1 to 49 for each ticket. Rosemary bought one ticket for herself and one for each of her four adult children. She had the lottery computer randomly select the six numbers on each ticket. When the six winning numbers were drawn, Rosemary was surprised to find that none of these numbers appeared on any of the five Lotto tickets she had bought. Should she be? Design and carry

out a simulation to answer this question. Follow the four-step process.

Liar, liar! Sometimes police use a lie detector (also known as a polygraph) to help determine whether a suspect is telling the truth. A lie detector test isn’t foolproof—sometimes it suggests that a person is lying when they’re actually telling the truth (a “false positive”). Other times, the test says that the suspect is being truthful when the person is actually lying (a “false negative”). For one brand of polygraph machine, the probability of a false positive is 0.08.
(a) Interpret this probability as a long-run relative frequency.
(b) Which is a more serious error in this case: a false positive or a false negative? Justify your answer.

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