Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 4.2, Problem 41P
To determine
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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 4 Solutions
Understandable Statistics: Concepts and Methods
Ch. 4.1 - Statistical Literacy List three methods of...Ch. 4.1 - Prob. 2PCh. 4.1 - Prob. 3PCh. 4.1 - Statistical Literacy What is the law of large...Ch. 4.1 - Prob. 5PCh. 4.1 - Prob. 6PCh. 4.1 - Prob. 7PCh. 4.1 - Prob. 8PCh. 4.1 - Interpretation An investment opportunity boasts...Ch. 4.1 - Interpretation A sample space consists of 4 simple...
Ch. 4.1 - Critical Thinking Consider a family with 3...Ch. 4.1 - Prob. 12PCh. 4.1 - Prob. 13PCh. 4.1 - Critical Thinking (a) Explain why 0.41 cannot be...Ch. 4.1 - Myers-Briggs: Personality Types Isabel Briggs...Ch. 4.1 - General: Roll a Die (a) If you roll a single die...Ch. 4.1 - Psychology: Creativity When do creative people get...Ch. 4.1 - Agriculture: Cotton A botanist has developed a new...Ch. 4.1 - Expand Your Knowledge: Odds in Favor Sometimes...Ch. 4.1 - Expand Your Knowledge: Odds Against Betting odds...Ch. 4.1 - Business: Customers John runs a computer software...Ch. 4.2 - Statistical Literacy If two events are mutually...Ch. 4.2 - Statistical Literacy If two events A and B are...Ch. 4.2 - Basic Computation: Addition Rule Given P(A) = 0.3...Ch. 4.2 - Basic Computation: Addition Rule Given P(A) = 0.7...Ch. 4.2 - Prob. 5PCh. 4.2 - Prob. 6PCh. 4.2 - Prob. 7PCh. 4.2 - Prob. 8PCh. 4.2 - Prob. 9PCh. 4.2 - Prob. 10PCh. 4.2 - Prob. 11PCh. 4.2 - Prob. 12PCh. 4.2 - Prob. 13PCh. 4.2 - Prob. 14PCh. 4.2 - Prob. 15PCh. 4.2 - Environmental: Land Formations Arches National...Ch. 4.2 - Prob. 17PCh. 4.2 - General: Roll Two Dice You roll two fair dice, a...Ch. 4.2 - Prob. 19PCh. 4.2 - Prob. 20PCh. 4.2 - Prob. 21PCh. 4.2 - General: Deck of Cards You draw two cards from a...Ch. 4.2 - General: Deck of Cards You draw two cards from a...Ch. 4.2 - Prob. 24PCh. 4.2 - Marketing: Toys USA Today gave the information...Ch. 4.2 - Prob. 26PCh. 4.2 - Prob. 27PCh. 4.2 - Prob. 28PCh. 4.2 - Prob. 29PCh. 4.2 - Survey: Medical Tests Diagnostic tests of medical...Ch. 4.2 - Survey: Lung/Heart In an article titled Diagnostic...Ch. 4.2 - Survey: Customer Loyalty Are customers more loyal...Ch. 4.2 - Franchise Stores: Profits Wing Foot is a shoe...Ch. 4.2 - Education: College of Nursing At Litchfield...Ch. 4.2 - Medical: Tuberculosis The state medical school has...Ch. 4.2 - Prob. 36PCh. 4.2 - Brain Teasers Assume A and B are events such that...Ch. 4.2 - Brain Teasers Assume A and B are events such that...Ch. 4.2 - Prob. 39PCh. 4.2 - Prob. 40PCh. 4.2 - Prob. 41PCh. 4.2 - Prob. 42PCh. 4.2 - Prob. 43PCh. 4.2 - Prob. 44PCh. 4.2 - Prob. 45PCh. 4.2 - Prob. 46PCh. 4.2 - Prob. 47PCh. 4.2 - Prob. 48PCh. 4.2 - Prob. 49PCh. 4.2 - Prob. 50PCh. 4.2 - Prob. 51PCh. 4.2 - Prob. 52PCh. 4.3 - Prob. 1PCh. 4.3 - Prob. 2PCh. 4.3 - Prob. 3PCh. 4.3 - Prob. 4PCh. 4.3 - Tree Diagram (a) Draw a tree diagram to display...Ch. 4.3 - Tree Diagram (a) Draw a tree diagram to display...Ch. 4.3 - Prob. 7PCh. 4.3 - Prob. 8PCh. 4.3 - Prob. 9PCh. 4.3 - Multiplication Rule for Counting A sales...Ch. 4.3 - Counting: Agriculture Barbara is a research...Ch. 4.3 - Counting: Outcomes You toss a pair of dice. (a)...Ch. 4.3 - Compute P5,2.Ch. 4.3 - Prob. 14PCh. 4.3 - Compute P7,7.Ch. 4.3 - Compute P9,9.Ch. 4.3 - Compute C5,2.Ch. 4.3 - Compute C8,3.Ch. 4.3 - Prob. 19PCh. 4.3 - Prob. 20PCh. 4.3 - Counting: Hiring There are three nursing positions...Ch. 4.3 - Counting: Lottery In the Cash Now lottery game...Ch. 4.3 - Counting: Sports The University of Montana ski...Ch. 4.3 - Counting: Sales During the Computer Daze special...Ch. 4.3 - Counting: Hiring There are 15 qualified applicants...Ch. 4.3 - Counting: Grading One professor grades homework by...Ch. 4.3 - Prob. 27PCh. 4.3 - Counting: Powerball The Viewpoint of this section,...Ch. 4 - Prob. 1CRPCh. 4 - Prob. 2CRPCh. 4 - Prob. 3CRPCh. 4 - Prob. 4CRPCh. 4 - Prob. 5CRPCh. 4 - Prob. 6CRPCh. 4 - Prob. 7CRPCh. 4 - Critical Thinking For a class activity, your group...Ch. 4 - Prob. 9CRPCh. 4 - Prob. 10CRPCh. 4 - Prob. 11CRPCh. 4 - Prob. 12CRPCh. 4 - Prob. 13CRPCh. 4 - Prob. 14CRPCh. 4 - Prob. 15CRPCh. 4 - Prob. 16CRPCh. 4 - Prob. 17CRPCh. 4 - Prob. 18CRPCh. 4 - Prob. 19CRPCh. 4 - Prob. 20CRPCh. 4 - Look at Figure 4-11, Whos Cracking the Books? (a)...Ch. 4 - Prob. 2LCCh. 4 - Prob. 1UT
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