Introduction to Business Statistics
7th Edition
ISBN: 9781111792374
Author: WEIERS
Publisher: Cengage Learning
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Chapter 5, Problem 5.83CE
To determine
To find number of ways the chairperson assigns faulty member to the courses.
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In 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…
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 creating a chart. Clearly mark the range, identifying the lower and upper…
Problem 1:
The mean hourly pay of an American Airlines flight attendant is normally distributed with a mean of 40 per hour and a standard deviation of 3.00 per hour. What is the probability that the hourly pay of a randomly selected flight attendant is:
Between the mean and $45 per hour?
More than $45 per hour?
Less than $32 per hour?
Problem 2:
The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds.
What is the area between 415 pounds and the mean of 400 pounds?
What is the area between the mean and 395 pounds?
What is the probability of randomly selecting a value less than 395 pounds?
Problem 3:
In New York State, the mean salary for high school teachers in 2022 was 81,410 with a standard deviation of 9,500. Only Alaska’s mean salary was higher. Assume New York’s state salaries follow a normal distribution.
What percent of New York State high school teachers earn between 70,000 and 75,000?
What percent of New York State high school…
Chapter 5 Solutions
Introduction to Business Statistics
Ch. 5.2 - The president of a computer manufacturing firm...Ch. 5.2 - Prob. 5.2ECh. 5.2 - Prob. 5.3ECh. 5.2 - Prob. 5.4ECh. 5.2 - Regarding Exercise 5.4, how might an observer...Ch. 5.2 - Prob. 5.6ECh. 5.2 - Prob. 5.7ECh. 5.2 - Prob. 5.8ECh. 5.2 - If the odds are 4:7 that an event will occur, what...Ch. 5.3 - A sample space includes the events A. B. and C....
Ch. 5.3 - A sample space includes the events A, B, and C....Ch. 5.3 - The following contingency table of frequencies is...Ch. 5.3 - Using the table in Exercise 5.12, how many victims...Ch. 5.3 - Using the table in Exercise 5.12, what is the...Ch. 5.3 - Prob. 5.15ECh. 5.3 - Using the table in Exercise 5.15, assume that one...Ch. 5.3 - The owner of a McDonald’s restaurant in France is...Ch. 5.3 - Prob. 5.18ECh. 5.3 - According to data from the U.S. Energy Information...Ch. 5.3 - There are 100 males and 120 females in the...Ch. 5.4 - A financial advisor frequently holds investment...Ch. 5.4 - A survey of employees at a large company found the...Ch. 5.4 - In 2008, McDonald’s had 31,967 restaurants...Ch. 5.4 - For three mutually exclusive events...Ch. 5.4 - It has been reported that the 49,600 employees of...Ch. 5.4 - In 2003, Intergy Corporation had 2,631,752...Ch. 5.4 - According to the Bureau of Labor Statistics, there...Ch. 5.4 - Using the information presented in the table in...Ch. 5.4 - Using the infomation presented in the table in...Ch. 5.5 - What is the difference between a marginal...Ch. 5.5 - Prob. 5.31ECh. 5.5 - Prob. 5.32ECh. 5.5 - It has been reported that 57% of U.S. households...Ch. 5.5 - A fair coin is tossed three times. What is the...Ch. 5.5 - A kitchen appliance has 16 working parts, each of...Ch. 5.5 - An optometry practitioner group has found that...Ch. 5.5 - Through April 30 of the 2009 filing season, 15.8%...Ch. 5.5 - Of employed U.S. adults age 25 or older, 90.4%...Ch. 5.5 - A taxi company in a small town has two cabs. Cab A...Ch. 5.5 - Using the table in Exercise 5.12, calculate the...Ch. 5.5 - Charlie has read a survey result that says 60% of...Ch. 5.5 - Prob. 5.42ECh. 5.5 - Based on the information in Exercise 5.21, if the...Ch. 5.5 - Based on the information in Exercise 5.22, if a...Ch. 5.6 - For U.S. live births, P(boy) and P(girl) are...Ch. 5.6 - Using the information in Exercise 5.45, assume...Ch. 5.6 - A magician has two coins: One is unbalanced and...Ch. 5.6 - For the information provided in Exercise 5.39, the...Ch. 5.6 - Machine A produce 3% defectives, machine B produce...Ch. 5.7 - A tax accountant has three choices for the method...Ch. 5.7 - A committee consists of eight members, each of...Ch. 5.7 - Ten prominent citizens have been nominated for a...Ch. 5.7 - Prob. 5.53ECh. 5.7 - A state’s license plate has 6 positions, each of...Ch. 5.7 - When we are considering n objects taken r at a...Ch. 5.7 - An investment counselor would like to meet with 12...Ch. 5.7 - Flow many different combinations are possible if 6...Ch. 5.7 - A roadside museum has 25 exhibits but enough space...Ch. 5.7 - A sales representative has 35 customers throughout...Ch. 5 - It has been estimated that the odds of being...Ch. 5 - A fast-food chain gives each customer a coupon,...Ch. 5 - For the situation in Exercise 5.61, what is the...Ch. 5 - The “daily number” of a state lottery is a 3-digit...Ch. 5 - The U.S. Bureau of Justice released the following...Ch. 5 - For the three perpetrators in Exercise 5.64,...Ch. 5 - Dave has been arrested for arson and has been...Ch. 5 - A firm has two computer systems available for...Ch. 5 - An industrial hoist is being used in an emergency...Ch. 5 - The following relative frequency distribution...Ch. 5 - Collecting data on traffic accident fatalities,...Ch. 5 - During fiscal 1995, Ashland Exploration drilled 7...Ch. 5 - Avis, Inc., has reported that its fleet consists...Ch. 5 - Data from the Federal Bureau of Investigation show...Ch. 5 - Of the participants in a corporate meeting. 20%...Ch. 5 - Of the adults in Jefferson Count, 10% have had CPR...Ch. 5 - Over the years, a realtor estimates that 50% of...Ch. 5 - Prob. 5.77CECh. 5 - Prob. 5.78CECh. 5 - When a machine is properly calibrated, 0.5% of its...Ch. 5 - In examining borrower characteristics versus loan...Ch. 5 - Prob. 5.81CECh. 5 - A corporate board of directors consisting of 15...Ch. 5 - Prob. 5.83CECh. 5 - A test to compare the taste of 6 soft drinks is...Ch. 5 - A certain brand of bicycle lock requires that each...
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- Pls help asaparrow_forwardSolve the following LP problem using the Extreme Point Theorem: Subject to: Maximize Z-6+4y 2+y≤8 2x + y ≤10 2,y20 Solve it using the graphical method. Guidelines for preparation for the teacher's questions: Understand the basics of Linear Programming (LP) 1. Know how to formulate an LP model. 2. Be able to identify decision variables, objective functions, and constraints. Be comfortable with graphical solutions 3. Know how to plot feasible regions and find extreme points. 4. Understand how constraints affect the solution space. Understand the Extreme Point Theorem 5. Know why solutions always occur at extreme points. 6. Be able to explain how optimization changes with different constraints. Think about real-world implications 7. Consider how removing or modifying constraints affects the solution. 8. Be prepared to explain why LP problems are used in business, economics, and operations research.arrow_forwardged the variance for group 1) Different groups of male stalk-eyed flies were raised on different diets: a high nutrient corn diet vs. a low nutrient cotton wool diet. Investigators wanted to see if diet quality influenced eye-stalk length. They obtained the following data: d Diet Sample Mean Eye-stalk Length Variance in Eye-stalk d size, n (mm) Length (mm²) Corn (group 1) 21 2.05 0.0558 Cotton (group 2) 24 1.54 0.0812 =205-1.54-05T a) Construct a 95% confidence interval for the difference in mean eye-stalk length between the two diets (e.g., use group 1 - group 2).arrow_forward
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