7th Edition

ISBN: 9781111792374

Author: WEIERS

Publisher: Cengage Learning

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Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could co…

Normal Distribution

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Textbook Question

Chapter 7.3, Problem 7.34E

Andre is a fearless circus performer who gets shot from a special cannon during the grand finale of the show and is supposed to land on a safety net at the other side of the arena. The distance he travels varics but is normally distributed with a mean of 150 feet and a standard deviation of 10 feet. The landing net is 30 feet long.

a. 10 maximize Andre’s probability of landing on the net, how far away from the cannon should he position the nearest edge of the net?

b. Given the net position in part (a), what is the probability that Andre will be able to return for tomorrow night’s show?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 7 Solutions

Introduction to Business Statistics

Ch. 7.1 - What is the difference between a continuous...Ch. 7.1 - What is a probability density function and how is...Ch. 7.1 - Why is the total area beneath a probability...Ch. 7.1 - Prob. 7.4E Ch. 7.2 - It has been stated that the nomal distribution is...Ch. 7.2 - Prob. 7.6E Ch. 7.2 - Prob. 7.7E Ch. 7.2 - Prob. 7.8E Ch. 7.2 - Prob. 7.9E Ch. 7.2 - The Canada Urban Transit Association has reported...

Ch. 7.2 - Prob. 7.11E Ch. 7.2 - In 2009, the average charge for tax preparation by...Ch. 7.2 - It has been reported that the average hotel...Ch. 7.2 - The average American family of four spends $5000...Ch. 7.2 - Prob. 7.15E Ch. 7.3 - The normal distribution is really a family of...Ch. 7.3 - In the standard normal distribution, approximately...Ch. 7.3 - A Continuous random variable, x, is normally...Ch. 7.3 - Prob. 7.19E Ch. 7.3 - Prob. 7.20E Ch. 7.3 - Prob. 7.21E Ch. 7.3 - Prob. 7.22E Ch. 7.3 - Prob. 7.23E Ch. 7.3 - Prob. 7.24E Ch. 7.3 - Prob. 7.25E Ch. 7.3 - Prob. 7.26E Ch. 7.3 - For the normal distribution described in Exercise...Ch. 7.3 - Prob. 7.28E Ch. 7.3 - For the normal distribution described in Exercise...Ch. 7.3 - For the normal distribution described in Exercise...Ch. 7.3 - For the normal distribution described in Exercise...Ch. 7.3 - Prob. 7.32E Ch. 7.3 - It has been reported that households in the West...Ch. 7.3 - Andre is a fearless circus performer who gets shot...Ch. 7.3 - Drying times for newly painted microwave oven...Ch. 7.3 - KleerCo supplies an under-hood, emissionscontrol...Ch. 7.3 - Prob. 7.37E Ch. 7.3 - Prob. 7.38E Ch. 7.4 - What is the correction for continuity and why is...Ch. 7.4 - Under what circumstances is it permissible to use...Ch. 7.4 - In a certain binomial distribution, =0.25 and n=40...Ch. 7.4 - In a certain binomial distribution, =0.30 and n=20...Ch. 7.4 - Prob. 7.43E Ch. 7.4 - Prob. 7.44E Ch. 7.4 - Prob. 7.45E Ch. 7.4 - Prob. 7.46E Ch. 7.4 - Prob. 7.47E Ch. 7.4 - Repeat Exercise 7.46, but without using the...Ch. 7.5 - What is the relationship between the Poisson...Ch. 7.5 - Every day, drivers arrive at a tollbooth. If the...Ch. 7.5 - The main switchboard at the Home Shopping Network...Ch. 7.5 - A random variable is Poision distributed with =1.5...Ch. 7.5 - A random variable is Poision distributed with...Ch. 7.5 - A random variable is Poision distributed with...Ch. 7.5 - The owner of a self-service carwash has found that...Ch. 7.5 - A taxi dispatcher has found that successive calls...Ch. 7.5 - During 2008, U.S. general aviation pilots had 1.20...Ch. 7.5 - The Bureau of Labor Statistics reports the...Ch. 7.6 - A computer statistical package has simulated 1000...Ch. 7.6 - Prob. 7.60E Ch. 7.6 - Prob. 7.61E Ch. 7.6 - Prob. 7.62E Ch. 7 - According to a recent survey, 35% of the adult...Ch. 7 - Prob. 7.64CE Ch. 7 - Prob. 7.65CE Ch. 7 - During an annual heating season, the average gas...Ch. 7 - It has been reported that the average monthly cell...Ch. 7 - During 2004, the average number of flying hours...Ch. 7 - During fiscal 2008, the average daily volume for...Ch. 7 - For itemized tax returns in the $60,000—$75,000...Ch. 7 - Of the 1.0 million persons of voting age in Maine,...Ch. 7 - A public relations agency tells its client that...Ch. 7 - Given the results of Exercise 7.72, evaluate the...Ch. 7 - A researcher is studying a particular process and...Ch. 7 - A safety researcher has found that fourth to sixth...Ch. 7 - The number of defects in rolls of aluminum sheet...Ch. 7 - The mileage death rate for motorcycle riders has...Ch. 7 - The “20-ounce” package of mozzarella cheese...Ch. 7 - State Police Academy graduates from a large gradua...Ch. 7 - The trainer for a professional football team has...Ch. 7 - The precooked weight of hamburgers at a gourmet...Ch. 7 - Boxes are filled with sugar by a machine that is...Ch. 7 - In Exercise 7.82, the company would like to put in...Ch. 7 - Discount Micros, a computer mail-order company,...Ch. 7 - The U-Drive car rental corporation has found that...Ch. 7 - Ronnie Rogers, the customer relations manager for...Ch. 7 - A storage warehouse in a relatively remote part of...

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Solution Summary: The author analyzes the probability of Andre returning for tomorrow's night shift. The required probability is 0.8664.

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