Explanation Given Information: Three fair coins are tossed, and X is the square of the number of heads showing Formula Used: If there is a random variable X which has values x 1 , x 2 , ... , then the probability distribution of the event includes the probabilities such as X = x 1 , X = x 2 and the sum of these probabilities is always 1 . For the random variable X, P ( X = x ) represents the random variable X with the particular value of x. Calculation: Consider the probability distribution for the random variable X . Number of heads showing if three coins are tossed are 0 , 1 , 2 , o r 3 . Possible values of the variable X when three coins are tossed x 1 = 0 , x 2 = 1 2 , x 3 = 2 2 , x 4 = 3 2 x 1 = 0 , x 2 = 1 , x 3 = 4 , x 4 = 9 Total number of outcomes when three coins are tossed 2 3 = 8 . Then the probability of showing 0 number of heads is 1 8 . The probability of showing 1 number of heads out of three coins is 3 8 . The probability of showing 2 number of heads out of three coins is 3 8 . The probability of showing 3 number of heads out of three coins is 1 8 . The probability distribution of the variable X , where X is the square of the number of heads showing is as follows, x 0 1 4 9 P ( X = x ) 1 8 3 8 3 8 1 8 Evaluate the probability of P ( 1 ≤ X ≤ 9 )

7th Edition

ISBN: 9781337291262

Author: Stefan Waner, Steven Costenoble

Publisher: Brooks Cole

See similar textbooks

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Videos

Question

Chapter 8.1, Problem 23E

To determine

To calculate: The value of P(1≤X≤9), the probability distribution for the indicated random variable also sketch the histogram for the probability distribution, if three fair coins are tossed, and X is the square of the number of heads showing.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.1, Problem 22E

Chapter 8.1, Problem 24E

Students have asked these similar questions

Find the derivative of the function. k(x) = − 6(5x +4) -

Already got wrong chatgpt answer Plz don't use chatgpt answer will upvote

Find all values of x for the given function where the tangent line is horizontal. 3 =√x³-12x² + 45x+5

Chapter 8 Solutions

Finite Mathematics, Loose-leaf Version

Ch. 8.1 - In Exercises 110, classify the random variable X...Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - In Exercises 110, classify the random variable X...Ch. 8.1 - In Exercises 110, classify the random variable X...Ch. 8.1 - Prob. 6E Ch. 8.1 - In Exercises 110, classify the random variable X...Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - In Exercises 110, classify the random variable X...

Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - Prob. 13E Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - Prob. 18E Ch. 8.1 - Prob. 19E Ch. 8.1 - The random variable X has the probability...Ch. 8.1 - In Exercises 2128, give the probability...Ch. 8.1 - In Exercises 2128, give the probability...Ch. 8.1 - Prob. 23E Ch. 8.1 - In Exercises 2128, give the probability...Ch. 8.1 - In Exercises 2128, give the probability...Ch. 8.1 - In Exercises 2128, give the probability...Ch. 8.1 - Prob. 27E Ch. 8.1 - Prob. 28E Ch. 8.1 - 2010 Income Distribution up to $100,000 The...Ch. 8.1 - 2003 Income Distribution up to $100,000 Repeat...Ch. 8.1 - Population Age in Mexico The following chart shows...Ch. 8.1 - Population Age in the United States Repeat...Ch. 8.1 - Sport Utility VehiclesTow Ratings The following...Ch. 8.1 - Housing Prices Going into the Real Estate Bubble...Ch. 8.1 - Stock Market Gyrations The following chart shows...Ch. 8.1 - Prob. 36E Ch. 8.1 - Prob. 37E Ch. 8.1 - Test Scores Your scores for the 20 surprise math...Ch. 8.1 - Car Purchases To persuade his parents to...Ch. 8.1 - Car Purchases Carmines parents, not convinced of...Ch. 8.1 - Prob. 41E Ch. 8.1 - Prob. 42E Ch. 8.1 - Prob. 43E Ch. 8.1 - Prob. 44E Ch. 8.1 - Highway Safety Exercises 4150 are based on the...Ch. 8.1 - Prob. 46E Ch. 8.1 - Highway Safety Exercises 4150 are based on the...Ch. 8.1 - Prob. 48E Ch. 8.1 - Prob. 49E Ch. 8.1 - Highway Safety Exercises 4150 are based on the...Ch. 8.1 - Prob. 51E Ch. 8.1 - Prob. 52E Ch. 8.1 - Prob. 53E Ch. 8.1 - Prob. 54E Ch. 8.1 - Prob. 55E Ch. 8.1 - Prob. 56E Ch. 8.1 - Prob. 57E Ch. 8.1 - Prob. 58E Ch. 8.1 - Prob. 59E Ch. 8.1 - Give an example of a real-life situation that can...Ch. 8.1 - Prob. 61E Ch. 8.1 - Prob. 62E Ch. 8.1 - Prob. 63E Ch. 8.1 - Prob. 64E Ch. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - Prob. 2E Ch. 8.2 - Prob. 3E Ch. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - Prob. 6E Ch. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - Prob. 9E Ch. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - In Exercises 1118, X is a binomial variable with...Ch. 8.2 - In Exercises 1118, X is a binomial variable with...Ch. 8.2 - In Exercises 1118, X is a binomial variable with...Ch. 8.2 - Prob. 14E Ch. 8.2 - In Exercises 1118, X is a binomial variable with...Ch. 8.2 - In Exercises 1118, X is a binomial variable with...Ch. 8.2 - Prob. 17E Ch. 8.2 - Prob. 18E Ch. 8.2 - In Exercises 19 and 20, graph the histogram of the...Ch. 8.2 - In Exercises 19 and 20, graph the histogram of the...Ch. 8.2 - In Exercises 21 and 22, graph the histogram of the...Ch. 8.2 - Prob. 22E Ch. 8.2 - Internet Addiction The probability that a randomly...Ch. 8.2 - Prob. 24E Ch. 8.2 - 1990s Internet Stock Boom According to a July 1999...Ch. 8.2 - 1990s Internet Stock Boom According to the article...Ch. 8.2 - Prob. 27E Ch. 8.2 - Prob. 28E Ch. 8.2 - Manufacturing Your manufacturing plant produces...Ch. 8.2 - Manufacturing Compute the probability distribution...Ch. 8.2 - Prob. 31E Ch. 8.2 - Other Teenage Pastimes According to the study...Ch. 8.2 - Prob. 33E Ch. 8.2 - Prob. 34E Ch. 8.2 - Triple Redundancy To ensure reliable performance...Ch. 8.2 - IQ Scores Mensa is a club for people who have high...Ch. 8.2 - Prob. 37E Ch. 8.2 - Prob. 38E Ch. 8.2 - Prob. 39E Ch. 8.2 - Product Testing It is known that 65% of all the...Ch. 8.2 - Prob. 41E Ch. 8.2 - Prob. 42E Ch. 8.2 - Highway Safety According to a study,18 a male...Ch. 8.2 - Prob. 44E Ch. 8.2 - Mad Cow Disease In March 2004 the U.S. Department...Ch. 8.2 - Prob. 46E Ch. 8.2 - Prob. 47E Ch. 8.2 - Prob. 48E Ch. 8.2 - Prob. 49E Ch. 8.2 - Prob. 50E Ch. 8.2 - Prob. 51E Ch. 8.2 - Prob. 52E Ch. 8.2 - Prob. 53E Ch. 8.2 - Prob. 54E Ch. 8.3 - Compute the mean, median, and mode of the data...Ch. 8.3 - Prob. 2E Ch. 8.3 - Prob. 3E Ch. 8.3 - Compute the mean, median, and mode of the data...Ch. 8.3 - Compute the mean, median, and mode of the data...Ch. 8.3 - Prob. 6E Ch. 8.3 - Prob. 7E Ch. 8.3 - Compute the mean, median, and mode of the data...Ch. 8.3 - Prob. 9E Ch. 8.3 - Give a sample of five scores with mean 100 and...Ch. 8.3 - In Exercises 1116, calculate the expected value of...Ch. 8.3 - In Exercises 1116, calculate the expected value of...Ch. 8.3 - Prob. 13E Ch. 8.3 - Prob. 14E Ch. 8.3 - In Exercises 1116, calculate the expected value of...Ch. 8.3 - In Exercises 1116, calculate the expected value of...Ch. 8.3 - In Exercises 1728, calculate the expected value of...Ch. 8.3 - Prob. 18E Ch. 8.3 - Prob. 19E Ch. 8.3 - In Exercises 1728, calculate the expected value of...Ch. 8.3 - Prob. 21E Ch. 8.3 - Prob. 22E Ch. 8.3 - Prob. 23E Ch. 8.3 - In Exercises 1728, calculate the expected value of...Ch. 8.3 - In Exercises 1728, calculate the expected value of...Ch. 8.3 - In Exercises 1728, calculate the expected value of...Ch. 8.3 - Prob. 27E Ch. 8.3 - Prob. 28E Ch. 8.3 - Stock Market Gyrations Following is a sample of...Ch. 8.3 - Stock Market Gyrations Following is a sample of...Ch. 8.3 - Gold The following figures show the price of gold...Ch. 8.3 - Silver The following figures show the price of...Ch. 8.3 - Supermarkets A survey of 52 U.S. supermarkets...Ch. 8.3 - Video Arcades Your company, Sonic Video, Inc., has...Ch. 8.3 - School Enrollment The following table shows the...Ch. 8.3 - School Enrollment Repeat Exercise 35, using the...Ch. 8.3 - Prob. 37E Ch. 8.3 - Prob. 38E Ch. 8.3 - 2010 Income Distribution up to $100,000 The...Ch. 8.3 - 2003 Income Distribution up to $100,000 Repeat...Ch. 8.3 - Prob. 41E Ch. 8.3 - Prob. 42E Ch. 8.3 - Prob. 43E Ch. 8.3 - Prob. 44E Ch. 8.3 - Roulette A roulette wheel has the numbers 1...Ch. 8.3 - Roulette A roulette wheel has the numbers 1...Ch. 8.3 - Prob. 47E Ch. 8.3 - Prob. 48E Ch. 8.3 - Prob. 49E Ch. 8.3 - Spiders Your pet tarantula, Spider, has a .12...Ch. 8.3 - Exercises 51 and 52 assume familiarity with...Ch. 8.3 - Exercises 51 and 52 assume familiarity with...Ch. 8.3 - Elimination Tournaments In an elimination...Ch. 8.3 - Elimination Tournaments In an elimination...Ch. 8.3 - Elimination Tournaments In an elimination...Ch. 8.3 - Elimination Tournaments In an elimination...Ch. 8.3 - Prob. 57E Ch. 8.3 - Prob. 58E Ch. 8.3 - Prob. 59E Ch. 8.3 - Insurance The Blue Sky Flight Insurance Company...Ch. 8.3 - Prob. 61E Ch. 8.3 - Prob. 62E Ch. 8.3 - Prob. 63E Ch. 8.3 - Prob. 64E Ch. 8.3 - Prob. 65E Ch. 8.3 - Prob. 66E Ch. 8.3 - Prob. 67E Ch. 8.3 - Prob. 68E Ch. 8.3 - Slim tells you that the population mean is just...Ch. 8.3 - Prob. 70E Ch. 8.3 - Prob. 71E Ch. 8.3 - Prob. 72E Ch. 8.3 - Prob. 73E Ch. 8.3 - Prob. 74E Ch. 8.4 - In Exercises 18, compute the (sample) variance and...Ch. 8.4 - Prob. 2E Ch. 8.4 - Prob. 3E Ch. 8.4 - In Exercises 18, compute the (sample) variance and...Ch. 8.4 - In Exercises 18, compute the (sample) variance and...Ch. 8.4 - Prob. 6E Ch. 8.4 - Prob. 7E Ch. 8.4 - In Exercises 18, compute the (sample) variance and...Ch. 8.4 - In Exercises 914, calculate the standard deviation...Ch. 8.4 - In Exercises 914, calculate the standard deviation...Ch. 8.4 - Prob. 11E Ch. 8.4 - In Exercises 914, calculate the standard deviation...Ch. 8.4 - Prob. 13E Ch. 8.4 - In Exercises 914, calculate the standard deviation...Ch. 8.4 - In Exercises 1524, calculate the expected value,...Ch. 8.4 - Prob. 16E Ch. 8.4 - Prob. 17E Ch. 8.4 - Prob. 18E Ch. 8.4 - Prob. 19E Ch. 8.4 - In Exercises 1524, calculate the expected value,...Ch. 8.4 - In Exercises 1524, calculate the expected value,...Ch. 8.4 - Prob. 22E Ch. 8.4 - Prob. 23E Ch. 8.4 - Prob. 24E Ch. 8.4 - Popularity Ratings In your bid to be elected class...Ch. 8.4 - Popularity Ratings Your candidacy for elected...Ch. 8.4 - Unemployment Following is a sample of unemployment...Ch. 8.4 - Unemployment Following is a sample of unemployment...Ch. 8.4 - Stock Market Gyrations Following is a sample of...Ch. 8.4 - Stock Market Gyrations Following is a sample of...Ch. 8.4 - Sport Utility Vehicles Following are highway...Ch. 8.4 - Sport Utility Vehicles Following are the city...Ch. 8.4 - Shopping Malls A survey of all the shopping malls...Ch. 8.4 - Prob. 34E Ch. 8.4 - 2010 Income Distribution up to $100,000 The...Ch. 8.4 - Prob. 36E Ch. 8.4 - Hispanic Employment: Male The following table...Ch. 8.4 - Hispanic Employment: Female Repeat Exercise 37,...Ch. 8.4 - Commerce You have been told that the average life...Ch. 8.4 - Commerce You have been told that the average life...Ch. 8.4 - Batmobiles The average life span of a Batmobile is...Ch. 8.4 - Spiderman Coupes The average life span of a...Ch. 8.4 - Teenage Pastimes According to a study,51 the...Ch. 8.4 - Prob. 44E Ch. 8.4 - Teenage Marketing In 2000, 22% of all teenagers in...Ch. 8.4 - Prob. 46E Ch. 8.4 - Prob. 47E Ch. 8.4 - Video Arcades Your company, Sonic Video, Inc., has...Ch. 8.4 - Prob. 49E Ch. 8.4 - Distribution of Wealth If we model after-tax...Ch. 8.4 - Prob. 51E Ch. 8.4 - Prob. 52E Ch. 8.4 - Prob. 53E Ch. 8.4 - Prob. 54E Ch. 8.4 - Distribution of Wealth If we model after-tax...Ch. 8.4 - Prob. 56E Ch. 8.4 - Prob. 57E Ch. 8.4 - Prob. 58E Ch. 8.4 - Prob. 59E Ch. 8.4 - Distribution of Wealth If we model after-tax...Ch. 8.4 - Prob. 61E Ch. 8.4 - Prob. 62E Ch. 8.4 - Prob. 63E Ch. 8.4 - Prob. 64E Ch. 8.4 - Prob. 65E Ch. 8.4 - Prob. 66E Ch. 8.4 - Prob. 67E Ch. 8.4 - Prob. 68E Ch. 8.4 - Prob. 69E Ch. 8.4 - Prob. 70E Ch. 8.4 - Prob. 71E Ch. 8.4 - Prob. 72E Ch. 8.4 - Prob. 73E Ch. 8.4 - Prob. 74E Ch. 8.4 - Prob. 75E Ch. 8.4 - Prob. 76E Ch. 8.4 - Prob. 77E Ch. 8.4 - Prob. 78E Ch. 8.4 - Prob. 79E Ch. 8.4 - Prob. 80E Ch. 8.5 - In Exercises 18, Z is the standard normal...Ch. 8.5 - Prob. 2E Ch. 8.5 - Prob. 3E Ch. 8.5 - In Exercises 18, Z is the standard normal...Ch. 8.5 - In Exercises 18, Z is the standard normal...Ch. 8.5 - Prob. 6E Ch. 8.5 - Prob. 7E Ch. 8.5 - Prob. 8E Ch. 8.5 - In Exercises 914, X has a normal distribution with...Ch. 8.5 - In Exercises 914, X has a normal distribution with...Ch. 8.5 - Prob. 11E Ch. 8.5 - In Exercises 914, X has a normal distribution with...Ch. 8.5 - Prob. 13E Ch. 8.5 - In Exercises 914, X has a normal distribution with...Ch. 8.5 - Find the probability that a normal variable takes...Ch. 8.5 - Find the probability that a normal variable takes...Ch. 8.5 - Prob. 17E Ch. 8.5 - Prob. 18E Ch. 8.5 - Prob. 19E Ch. 8.5 - Suppose X is a normal random variable with mean...Ch. 8.5 - Suppose X is a normal random variable with mean...Ch. 8.5 - Prob. 22E Ch. 8.5 - If you roll a die 100 times, what is the...Ch. 8.5 - If you roll a die 100 times, what is the...Ch. 8.5 - If you roll a die 200 times, what is the...Ch. 8.5 - Prob. 26E Ch. 8.5 - SAT Scores SAT test scores are normally...Ch. 8.5 - Prob. 28E Ch. 8.5 - LSAT Scores LSAT test scores are normally...Ch. 8.5 - LSAT Scores LSAT test scores are normally...Ch. 8.5 - Prob. 31E Ch. 8.5 - Prob. 32E Ch. 8.5 - Prob. 33E Ch. 8.5 - Prob. 34E Ch. 8.5 - SAT Scores SAT test scores are normally...Ch. 8.5 - LSAT Scores LSAT test scores are normally...Ch. 8.5 - Baseball The mean batting average in major league...Ch. 8.5 - Baseball The mean batting average in major league...Ch. 8.5 - Prob. 39E Ch. 8.5 - Marketing Your hot sauce company rates its sauce...Ch. 8.5 - Prob. 41E Ch. 8.5 - Prob. 42E Ch. 8.5 - Prob. 43E Ch. 8.5 - Prob. 44E Ch. 8.5 - Distribution of Income If we model after-tax...Ch. 8.5 - Prob. 46E Ch. 8.5 - Prob. 47E Ch. 8.5 - Prob. 48E Ch. 8.5 - Prob. 49E Ch. 8.5 - Prob. 50E Ch. 8.5 - Prob. 51E Ch. 8.5 - Prob. 52E Ch. 8.5 - Prob. 53E Ch. 8.5 - Prob. 54E Ch. 8.5 - Prob. 55E Ch. 8.5 - Prob. 56E Ch. 8.5 - Prob. 57E Ch. 8.5 - Prob. 58E Ch. 8.5 - Aviation The probability of a plane crashing on a...Ch. 8.5 - Prob. 60E Ch. 8.5 - Prob. 61E Ch. 8.5 - Prob. 62E Ch. 8.5 - Prob. 63E Ch. 8.5 - Prob. 64E Ch. 8.5 - Prob. 65E Ch. 8.5 - Prob. 66E Ch. 8.5 - Prob. 67E Ch. 8.5 - Prob. 68E Ch. 8.5 - Prob. 69E Ch. 8.5 - Prob. 70E Ch. 8.5 - Prob. 71E Ch. 8.5 - Prob. 72E Ch. 8.5 - Prob. 73E Ch. 8.5 - Prob. 74E Ch. 8 - In Exercises 16, find the probability distribution...Ch. 8 - Prob. 2RE Ch. 8 - Prob. 3RE Ch. 8 - Prob. 4RE Ch. 8 - In Exercises 16, find the probability distribution...Ch. 8 - Prob. 6RE Ch. 8 - Prob. 7RE Ch. 8 - Prob. 8RE Ch. 8 - Prob. 9RE Ch. 8 - Prob. 10RE Ch. 8 - Prob. 11RE Ch. 8 - Prob. 12RE Ch. 8 - Prob. 13RE Ch. 8 - Prob. 14RE Ch. 8 - Prob. 15RE Ch. 8 - A die is constructed in such a way that rolling a...Ch. 8 - Prob. 17RE Ch. 8 - Prob. 18RE Ch. 8 - Prob. 19RE Ch. 8 - Prob. 20RE Ch. 8 - Prob. 21RE Ch. 8 - Prob. 22RE Ch. 8 - Prob. 23RE Ch. 8 - Prob. 24RE Ch. 8 - Prob. 25RE Ch. 8 - Prob. 26RE Ch. 8 - Prob. 27RE Ch. 8 - Prob. 28RE Ch. 8 - Prob. 29RE Ch. 8 - Prob. 30RE Ch. 8 - Prob. 31RE Ch. 8 - In Exercises 2934 the mean and standard deviation...Ch. 8 - Prob. 33RE Ch. 8 - Prob. 34RE Ch. 8 - Prob. 35RE Ch. 8 - Prob. 36RE Ch. 8 - Prob. 37RE Ch. 8 - Prob. 38RE Ch. 8 - Prob. 39RE Ch. 8 - Prob. 40RE Ch. 8 - Prob. 41RE Ch. 8 - Prob. 42RE Ch. 8 - Prob. 43RE Ch. 8 - Mac vs. Windows On average, 5% of all hits by Mac...Ch. 8 - Prob. 45RE Ch. 8 - Prob. 46RE Ch. 8 - Prob. 47RE Ch. 8 - Prob. 48RE Ch. 8 - Prob. 49RE Ch. 8 - Prob. 50RE Ch. 8 - Prob. 51RE Ch. 8 - Prob. 52RE Ch. 8 - Prob. 53RE Ch. 8 - Prob. 54RE Ch. 8 - Prob. 55RE Ch. 8 - Prob. 56RE Ch. 8 - Prob. 1CS Ch. 8 - Prob. 2CS Ch. 8 - Prob. 3CS Ch. 8 - Prob. 4CS Ch. 8 - Which of the following lists of data would you...Ch. 8 - Prob. 6CS Ch. 8 - Prob. 7CS Ch. 8 - Prob. 8CS

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The value of P ( 1 ≤ X ≤ 9 ) , the probability distribution for the indicated random variable also sketch the histogram for the probability distribution, if three fair coins are tossed, and X is the square of the number of heads showing.

Solution Summary: The author calculates the probability distribution for the indicated random variable, if three fair coins are tossed, and the square of the number of heads showing.

Concept explainers

Videos

To calculate: The value of P(1≤X≤9), the probability distribution for the indicated random variable also sketch the histogram for the probability distribution, if three fair coins are tossed, and X is the square of the number of heads showing.

Want to see the full answer?

Chapter 8 Solutions