Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 5, Problem 16CRP
a.
To determine
Describe the reason for the Poisson distribution to be a good choice for the given
b.
To determine
Calculate the probability of no accidents in 100,000 flight operations.
c.
To determine
Calculate the probability of at least 4 accidents in 200,000 flight operations.
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined.
1.What percent of the refunds are more than $3,500?
2. What percent of the refunds are more than $3500 but less than $3579?
3. What percent of the refunds are more than $3325 but less than $3579?
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…
Chapter 5 Solutions
Understandable Statistics: Concepts and Methods
Ch. 5.1 - Statistical Literacy Which of the following are...Ch. 5.1 - Statistical Literacy Which of the following are...Ch. 5.1 - Statistical Literacy Consider each distribution....Ch. 5.1 - Prob. 4PCh. 5.1 - Prob. 5PCh. 5.1 - Statistical Literacy Consider the probability...Ch. 5.1 - Basic Computation: Expected Value and Standard...Ch. 5.1 - Basic Computation: Expected Value For a...Ch. 5.1 - Critical Thinking: Simulation We can use the...Ch. 5.1 - Marketing: Age What is the age distribution of...
Ch. 5.1 - Marketing: Income What is the income distribution...Ch. 5.1 - History: Florence Nightingale What was the age...Ch. 5.1 - Fishing: Trout The following data are based on...Ch. 5.1 - Criminal Justice: Parole USA Today reported that...Ch. 5.1 - Prob. 15PCh. 5.1 - Prob. 16PCh. 5.1 - Expected Value: Life Insurance Jim is a...Ch. 5.1 - Expected Value: Life Insurance Sara is a...Ch. 5.1 - Prob. 19PCh. 5.1 - Prob. 20PCh. 5.1 - Combination of Random Variables: Insurance Risk...Ch. 5.2 - Statistical Literacy What does the random variable...Ch. 5.2 - Prob. 2PCh. 5.2 - Statistical Literacy For a binomial experiment,...Ch. 5.2 - Prob. 4PCh. 5.2 - Interpretation Suppose you are a hospital manager...Ch. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 8PCh. 5.2 - Critical Thinking According to the college...Ch. 5.2 - Prob. 10PCh. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - Prob. 17PCh. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - Prob. 22PCh. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - Prob. 26PCh. 5.2 - Binomial Distribution Table: Symmetry Study the...Ch. 5.2 - Prob. 28PCh. 5.2 - Prob. 29PCh. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - Prob. 31PCh. 5.2 - Prob. 32PCh. 5.3 - Statistical Literacy What does the expected value...Ch. 5.3 - Statistical Literacy Consider two binomial...Ch. 5.3 - Basic Computation: Expected Value and Standard...Ch. 5.3 - Basic Computation: Expected Value and Standard...Ch. 5.3 - Critical Thinking Consider a binomial distribution...Ch. 5.3 - Prob. 6PCh. 5.3 - Prob. 7PCh. 5.3 - Prob. 8PCh. 5.3 - Critical Thinking Consider a binomial distribution...Ch. 5.3 - Prob. 10PCh. 5.3 - Sports: Surfing In Hawaii, January is a favorite...Ch. 5.3 - Quality Control: Syringes The quality-control...Ch. 5.3 - Private Investigation: Locating People Old Friends...Ch. 5.3 - Ecology: Hawaiian Tsunamis A tidal wave or tsunami...Ch. 5.3 - Education: Illiteracy USA Today reported that...Ch. 5.3 - Rude Drivers: Tailgating Do you tailgate the car...Ch. 5.3 - Hype: Improved Products The Wall Street Journal...Ch. 5.3 - Prob. 18PCh. 5.3 - Prob. 19PCh. 5.3 - Defense: Radar Stations The probability that a...Ch. 5.3 - Criminal Justice: Jury Duty Have you ever tried to...Ch. 5.3 - Public Safety: 911 Calls The Denver Post reported...Ch. 5.3 - Law Enforcement: Property Crime Does crime pay?...Ch. 5.3 - Prob. 24PCh. 5.3 - Prob. 25PCh. 5.3 - Prob. 26PCh. 5.3 - Prob. 27PCh. 5.3 - Critical Thinking Let r be a binomial random...Ch. 5.4 - Statistical Literacy For a binomial experiment,...Ch. 5.4 - Statistical Literacy When using the Poisson...Ch. 5.4 - Critical Thinking Suppose we have a binomial...Ch. 5.4 - Critical Thinking Suppose we have a binomial...Ch. 5.4 - Prob. 5PCh. 5.4 - Prob. 6PCh. 5.4 - Prob. 7PCh. 5.4 - Prob. 8PCh. 5.4 - College: Core Requirement Susan is taking Western...Ch. 5.4 - Law: Bar Exam Bob is a recent law school graduate...Ch. 5.4 - Sociology: Hawaiians On the leeward side of the...Ch. 5.4 - Prob. 12PCh. 5.4 - Prob. 13PCh. 5.4 - Archaeology: Artifacts At Burnt Mesa Pueblo, in...Ch. 5.4 - Ecology: River Otters In his doctoral thesis, L....Ch. 5.4 - Law Enforcement: Shoplifting The Denver Post...Ch. 5.4 - Prob. 17PCh. 5.4 - Engineering: Cracks Henry Petroski is a professor...Ch. 5.4 - Prob. 19PCh. 5.4 - Earthquakes: San Andreas Fault USA Today reported...Ch. 5.4 - Prob. 21PCh. 5.4 - Prob. 22PCh. 5.4 - Prob. 23PCh. 5.4 - Prob. 24PCh. 5.4 - Prob. 25PCh. 5.4 - Prob. 26PCh. 5.4 - Prob. 27PCh. 5.4 - Prob. 28PCh. 5.4 - Prob. 29PCh. 5.4 - Prob. 30PCh. 5.4 - Prob. 31PCh. 5.4 - Prob. 32PCh. 5.4 - Prob. 33PCh. 5 - Prob. 1CRPCh. 5 - Prob. 2CRPCh. 5 - Prob. 3CRPCh. 5 - Prob. 4CRPCh. 5 - Prob. 5CRPCh. 5 - Prob. 6CRPCh. 5 - Prob. 7CRPCh. 5 - Prob. 8CRPCh. 5 - Prob. 9CRPCh. 5 - Airlines: On-Time Arrivals Consumer Reports rated...Ch. 5 - Prob. 11CRPCh. 5 - Prob. 12CRPCh. 5 - Prob. 13CRPCh. 5 - Prob. 14CRPCh. 5 - Prob. 15CRPCh. 5 - Prob. 16CRPCh. 5 - Prob. 17CRPCh. 5 - Prob. 18CRPCh. 5 - Prob. 19CRPCh. 5 - Prob. 20CRPCh. 5 - Prob. 2DHCh. 5 - Prob. 2LCCh. 5 - Prob. 4LCCh. 5 - Prob. 1UTCh. 5 - Prob. 2UTCh. 5 - Prob. 3UTCh. 5 - Prob. 4UTCh. 5 - Prob. 5UTCh. 5 - Prob. 6UTCh. 5 - Binomial Distributions Although tables of binomial...
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