Elementary Statistics: A Step By Step Approach
9th Edition
ISBN: 9780073534985
Author: Allan Bluman
Publisher: McGraw-Hill Science/Engineering/Math
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Chapter 5, Problem 4CTC
To determine
To find: The chances of winning $1, $2 and $3.
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A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts?
1. Compute the probability of a value between 44.0 and 55.0.
(The question requires finding probability value between 44 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 44, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the answer of the second part.)
2. Compute the probability of a value greater than 55.0.
Use the same formula, x=55 and subtract the answer from 1.
3. Compute the probability of a value between 52.0 and 55.0.
(The question requires finding probability value between 52 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 52, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the…
If a uniform distribution is defined over the interval from 6 to 10, then answer the followings:
What is the mean of this uniform distribution?
Show that the probability of any value between 6 and 10 is equal to 1.0
Find the probability of a value more than 7.
Find the probability of a value between 7 and 9.
The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be:
More than $27?
Less than or equal to $24?
The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches.
What is the mean amount of rainfall for the month?
What is the probability of less than an inch of rain for the month?
What is the probability of exactly 1.00 inch of rain?
What is the probability of more than 1.50 inches of rain for the month?
The best way to solve this problem is begin by a step by step creating a chart. Clearly mark the range, identifying the…
Client
1
Weight before
diet (pounds)
Weight after
diet (pounds)
128
120
2
131
123
3
140
141
4
178
170
5
121
118
6
136
136
7
118
121
8
136
127
Chapter 5 Solutions
Elementary Statistics: A Step By Step Approach
Ch. 5.1 - Dropping College Courses Use the following table...Ch. 5.1 - Define and give three examples of a random...Ch. 5.1 - Explain the difference between a discrete and a...Ch. 5.1 - Give three examples of a discrete random variable.Ch. 5.1 - Give three examples of a continuous random...Ch. 5.1 - List three continuous random variables and three...Ch. 5.1 - What is a probability distribution? Give an...Ch. 5.1 - Prob. 7ECh. 5.1 - For Exercises 7 through 12, determine whether the...Ch. 5.1 - Prob. 9E
Ch. 5.1 - For Exercises 7 through 12, determine whether the...Ch. 5.1 - Prob. 11ECh. 5.1 - For Exercises 7 through 12, determine whether the...Ch. 5.1 - Prob. 13ECh. 5.1 - For Exercises 13 through 18, state whether the...Ch. 5.1 - Prob. 15ECh. 5.1 - For Exercises 13 through 18, state whether the...Ch. 5.1 - Prob. 17ECh. 5.1 - For Exercises 13 through 18, state whether the...Ch. 5.1 - Prob. 19ECh. 5.1 - For Exercises 19 through 26, construct a...Ch. 5.1 - Prob. 21ECh. 5.1 - For Exercises 19 through 26, construct a...Ch. 5.1 - For Exercises 19 through 26, construct a...Ch. 5.1 - For Exercises 19 through 26, construct a...Ch. 5.1 - For Exercises 19 through 26, construct a...Ch. 5.1 - For Exercises 19 through 26, construct a...Ch. 5.1 - Triangular Numbers The first six triangular...Ch. 5.1 - Prob. 28ECh. 5.1 - Goals in Hockey The probability that a hockey team...Ch. 5.1 - Mathematics Tutoring Center At a drop-in...Ch. 5.1 - For Exercises 31 through 36, write the...Ch. 5.1 - For Exercises 31 through 36, write the...Ch. 5.1 - For Exercises 31 through 36, write the...Ch. 5.1 - For Exercises 31 through 36, write the...Ch. 5.1 - For Exercises 31 through 36, write the...Ch. 5.1 - For Exercises 31 through 36, write the...Ch. 5.1 - Computer Games The probability that a child plays...Ch. 5.2 - Radiation Exposure On March 28, 1979, the nuclear...Ch. 5.2 - Prob. 1ECh. 5.2 - Suit Sales The number of suits sold per day at a...Ch. 5.2 - Prob. 3ECh. 5.2 - Trivia Quiz The probabilities that a player will...Ch. 5.2 - Prob. 5ECh. 5.2 - Traffic Accidents The county highway department...Ch. 5.2 - Prob. 7ECh. 5.2 - Benfords Law The leading digits in actual data,...Ch. 5.2 - Prob. 9ECh. 5.2 - Pizza Deliveries A pizza shop owner determines the...Ch. 5.2 - Prob. 11ECh. 5.2 - Job Bids A landscape contractor bids on jobs where...Ch. 5.2 - Rolling Dice If a person rolls doubles when she...Ch. 5.2 - Dice Game A person pays 2 to play a certain game...Ch. 5.2 - Lottery Prizes A lottery offers one 1000 prize,...Ch. 5.2 - Winning the Lottery For a daily lottery, a person...Ch. 5.2 - Life Insurance A 35-year-old woman purchases a...Ch. 5.2 - Roulette A roulette wheel has 38 numbers, 1...Ch. 5.2 - Rolling Dice Construct a probability distribution...Ch. 5.2 - Rolling a Die When one die is rolled, the expected...Ch. 5.2 - The formula for finding the variance for a...Ch. 5.2 - Complete the following probability distribution if...Ch. 5.2 - Probability Distribution A bag contains five balls...Ch. 5.3 - Unsanitary Restaurants Health officials routinely...Ch. 5.3 - Which of the following are binomial experiments or...Ch. 5.3 - Which of the following are binomial experiments or...Ch. 5.3 - Compute the probability of X successes, using...Ch. 5.3 - Compute the probability of X successes, using...Ch. 5.3 - Compute the probability of X successes, using the...Ch. 5.3 - Compute the probability of X successes, using the...Ch. 5.3 - Prob. 7ECh. 5.3 - Multiple-Choice Exam A student takes a...Ch. 5.3 - Prob. 9ECh. 5.3 - High School Dropouts Approximately 10.3% of...Ch. 5.3 - Prob. 11ECh. 5.3 - Prob. 12ECh. 5.3 - Prob. 13ECh. 5.3 - Destination Weddings Twenty-six percent of couples...Ch. 5.3 - People Who Have Some College Education Fifty-three...Ch. 5.3 - Guidance Missile System A missile guidance system...Ch. 5.3 - Find the mean, variance, and standard deviation...Ch. 5.3 - Find the mean, variance, and standard deviation...Ch. 5.3 - Prob. 19ECh. 5.3 - Tossing Coins Find the mean, variance, and...Ch. 5.3 - Prob. 21ECh. 5.3 - Federal Government Employee E-mail Use It has been...Ch. 5.3 - Watching Fireworks A survey found that 21% of...Ch. 5.3 - Alternate Sources of Fuel Eighty-five percent of...Ch. 5.3 - Survey on Bathing Pets A survey found that 25% of...Ch. 5.3 - Survey on Answering Machine Ownership In a survey,...Ch. 5.3 - Poverty and the Federal Government One out of...Ch. 5.3 - Internet Purchases Thirty-two percent of adult...Ch. 5.3 - Prob. 29ECh. 5.3 - Job Elimination In a recent year, 13% of...Ch. 5.3 - Survey of High School Seniors Of graduating high...Ch. 5.3 - Is this a binomial distribution? Explain.Ch. 5.3 - Children in a Family The graph shown here...Ch. 5.3 - Construct a binomial distribution graph for the...Ch. 5.3 - Show that the mean for a binomial random variable...Ch. 5.4 - Prob. 1ACCh. 5.4 - Use the multinomial formula and find the...Ch. 5.4 - Use the multinomial formula and find the...Ch. 5.4 - MMs Color Distribution According to the...Ch. 5.4 - Truck Inspection Violations The probabilities are...Ch. 5.4 - Prob. 5ECh. 5.4 - Mendels Theory According to Mendels theory, if...Ch. 5.4 - Prob. 7ECh. 5.4 - Find each probability P(X; ) using Table C in...Ch. 5.4 - Study of Robberies A recent study of robberies for...Ch. 5.4 - Misprints on Manuscript Pages In a 400-page...Ch. 5.4 - Colors of Flowers A nursery provides red impatiens...Ch. 5.4 - Mail Ordering A mail-order company receives an...Ch. 5.4 - Company Mailing Of a companys mailings 1.5% are...Ch. 5.4 - Emission Inspection Failures If 3% of all cars...Ch. 5.4 - Phone Inquiries The average number of phone...Ch. 5.4 - Defective Calculators In a batch of 2000...Ch. 5.4 - School Newspaper Staff A school newspaper staff is...Ch. 5.4 - Job Applicants Twelve people apply for a teaching...Ch. 5.4 - Prob. 19ECh. 5.4 - Defective Computer Keyboards A shipment of 24...Ch. 5.4 - Defective Electronics A shipment of 24 smartphones...Ch. 5.4 - Job Applications Ten people apply for a job at...Ch. 5.4 - Prob. 23ECh. 5.4 - Prob. 24ECh. 5.4 - Shooting an Arrow Mark shoots arrows at a target...Ch. 5.4 - Amusement Park Game At an amusement park...Ch. 5.4 - Prob. 27ECCh. 5.4 - Prob. 28ECCh. 5.4 - Drawing Cards Cards are drawn at random from a...Ch. 5.4 - Prob. 30ECCh. 5.4 - Prob. 31ECCh. 5.4 - Lessons Outside of School About 2 out of every 3...Ch. 5.4 - Prob. 33ECCh. 5.4 - Work versus Conscience One worker in four in...Ch. 5 - For Exercises 1 through 3, determine whether the...Ch. 5 - For Exercises 1 through 3, determine whether the...Ch. 5 - Prob. 5.1.3RECh. 5 - Prob. 5.1.4RECh. 5 - Credit Cards A large retail company encourages its...Ch. 5 - Prob. 5.1.6RECh. 5 - Prob. 5.1.7RECh. 5 - Prob. 5.2.8RECh. 5 - Arrivals at an Airport At a small rural airport,...Ch. 5 - Cans of Paint Purchased During a recent paint sale...Ch. 5 - Prob. 5.2.11RECh. 5 - Outdoor Regatta A producer plans an outdoor...Ch. 5 - Card Game A game is set up as follows: All the...Ch. 5 - Card Game Using Exercise 13, how much should be...Ch. 5 - Let x be a binomial random variable with n = 12...Ch. 5 - Internet Access via Cell Phone In a retirement...Ch. 5 - Prob. 5.3.17RECh. 5 - Prob. 5.3.18RECh. 5 - U.S. Police Chiefs and the Death Penalty The...Ch. 5 - Prob. 5.3.20RECh. 5 - Pizza for Breakfast Three out of four American...Ch. 5 - Prob. 5.3.22RECh. 5 - Prob. 5.4.23RECh. 5 - Prob. 5.4.24RECh. 5 - Prob. 5.4.25RECh. 5 - Prob. 5.4.26RECh. 5 - Prob. 5.4.27RECh. 5 - Boating Accidents The number of boating accidents...Ch. 5 - Prob. 5.4.29RECh. 5 - Prob. 5.4.30RECh. 5 - Items Donated to a Food Bank At a food bank a case...Ch. 5 - Prob. 5.4.32RECh. 5 - Prob. 5.4.33RECh. 5 - Determine whether each statement is true or false....Ch. 5 - Determine whether each statement is true or false....Ch. 5 - Determine whether each statement is true or false....Ch. 5 - Determine whether each statement is true or false....Ch. 5 - Complete these statements with the best answer. 5....Ch. 5 - Complete these statements with the best answer. 6....Ch. 5 - Complete these statements with the best answer. 7....Ch. 5 - Select the best answer. 8. What is the sum of the...Ch. 5 - Select the best answer. 9. How many outcomes are...Ch. 5 - Select the best answer. 10. The number of trials...Ch. 5 - Prob. 11CQCh. 5 - Prob. 12CQCh. 5 - For exercises 11 through 14, determine if the...Ch. 5 - For exercises 11 through 14, determine if the...Ch. 5 - Prob. 15CQCh. 5 - Prob. 16CQCh. 5 - Prob. 17CQCh. 5 - Calls for a Crisis Hot Line The number of calls...Ch. 5 - Selecting a Card There are 6 playing cards placed...Ch. 5 - Prob. 20CQCh. 5 - Carpooling If 40% of all commuters ride to work in...Ch. 5 - Employed Women If 60% of all women are employed...Ch. 5 - Prob. 23CQCh. 5 - Meeting Attendance A history class has 75 members....Ch. 5 - Prob. 25CQCh. 5 - Quality Control Check Before a television set...Ch. 5 - Bowling Team Uniforms Among the teams in a bowling...Ch. 5 - Elm Trees If 8% of the population of trees are elm...Ch. 5 - Sports Score Hot Line Calls Sports Scores Hot Line...Ch. 5 - Color of Raincoats There are 48 raincoats for sale...Ch. 5 - Youth Group Officers A youth group has 8 boys and...Ch. 5 - Blood Types About 4% of the citizens of the United...Ch. 5 - Alcohol Abstainers About 35% of Americans abstain...Ch. 5 - Prob. 1CTCCh. 5 - Prob. 2CTCCh. 5 - Prob. 3CTCCh. 5 - Prob. 4CTCCh. 5 - Prob. 5CTC
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- Client 1 Weight before diet (pounds) Weight after diet (pounds) 128 120 2 131 123 3 140 141 4 178 170 5 121 118 6 136 136 7 118 121 8 136 127 a) Determine the mean change in patient weight from before to after the diet (after – before). What is the 95% confidence interval of this mean difference?arrow_forwardIn order to find probability, you can use this formula in Microsoft Excel: The best way to understand and solve these problems is by first drawing a bell curve and marking key points such as x, the mean, and the areas of interest. Once marked on the bell curve, figure out what calculations are needed to find the area of interest. =NORM.DIST(x, Mean, Standard Dev., TRUE). When the question mentions “greater than” you may have to subtract your answer from 1. When the question mentions “between (two values)”, you need to do separate calculation for both values and then subtract their results to get the answer. 1. Compute the probability of a value between 44.0 and 55.0. (The question requires finding probability value between 44 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 44, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the…arrow_forwardIf a uniform distribution is defined over the interval from 6 to 10, then answer the followings: What is the mean of this uniform distribution? Show that the probability of any value between 6 and 10 is equal to 1.0 Find the probability of a value more than 7. Find the probability of a value between 7 and 9. The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be: More than $27? Less than or equal to $24? The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches. What is the mean amount of rainfall for the month? What is the probability of less than an inch of rain for the month? What is the probability of exactly 1.00 inch of rain? What is the probability of more than 1.50 inches of rain for the month? The best way to solve this problem is begin by creating a chart. Clearly mark the range, identifying the lower and upper…arrow_forward
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