>LCPO< FUND OF STATISTICS
5th Edition
ISBN: 9781034509998
Author: Sullivan
Publisher: PEARSON
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Chapter 6.2, Problem 57AYU
To determine
To explain: How the value of p, the probability of success of a binomial experiment, affects the shape of the distribution of a binomial random variable.
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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 6 Solutions
>LCPO< FUND OF STATISTICS
Ch. 6.1 - What is a random variable?Ch. 6.1 - What is the difference between a discrete random...Ch. 6.1 - What are the two requirements for a discrete...Ch. 6.1 - In your own words, provide an interpretation of...Ch. 6.1 - In Problems 58, determine whether the random...Ch. 6.1 - In Problems 58, determine whether the random...Ch. 6.1 - In Problems 58, determine whether the random...Ch. 6.1 - In Problems 58, determine whether the random...Ch. 6.1 - In Problems 914, determine whether the...Ch. 6.1 - In Problems 914, determine whether the...
Ch. 6.1 - In Problems 914, determine whether the...Ch. 6.1 - In Problems 914, determine whether the...Ch. 6.1 - In Problems 914, determine whether the...Ch. 6.1 - In Problems 914, determine whether the...Ch. 6.1 - In Problems 15 and 16, determine the required...Ch. 6.1 - In Problems 15 and 16, determine the required...Ch. 6.1 - NW Televisions In the Sullivan Statistics Survey...Ch. 6.1 - Marriage In the following probability...Ch. 6.1 - Ichiros Hit Parade In the 2004 baseball season,...Ch. 6.1 - Waiting in Line A Wendys manager performed a study...Ch. 6.1 - In Problems 21 and 22, (a) construct a discrete...Ch. 6.1 - In Problems 21 and 22, (a) construct a discrete...Ch. 6.1 - Number of Births The graph of the discrete...Ch. 6.1 - Rental Units The graph of the discrete probability...Ch. 6.1 - NW Life Insurance A life insurance company sells a...Ch. 6.1 - Life Insurance A life insurance company sells a...Ch. 6.1 - Blackjack Blackjack is a popular casino game in...Ch. 6.1 - Investment An investment counselor calls with a...Ch. 6.1 - Roulette In the game of roulette, a player can...Ch. 6.1 - Connecticut Lottery In the Cash Five Lottery in...Ch. 6.1 - Powerball Powerball is a multistate lottery. The...Ch. 6.1 - SAT Test Penalty Some standardized tests, such as...Ch. 6.1 - Putting It Together: Sullivan Statistics Survey I...Ch. 6.1 - Prob. 36AYUCh. 6.2 - A binomial experiment is performed a fixed number...Ch. 6.2 - For each trial of a binomial experiment, there are...Ch. 6.2 - True or False: In the binomial probability...Ch. 6.2 - The phrase no more than is represented by the math...Ch. 6.2 - The expected number of successes in a binomial...Ch. 6.2 - As a rule of thumb, if _____, the probability...Ch. 6.2 - In Problems 716, determine which of the following...Ch. 6.2 - In Problems 716, determine which of the following...Ch. 6.2 - In Problems 716, determine which of the following...Ch. 6.2 - In Problems 716, determine which of the following...Ch. 6.2 - In Problems 716, determine which of the following...Ch. 6.2 - In Problems 716, determine which of the following...Ch. 6.2 - In Problems 716, determine which of the following...Ch. 6.2 - In Problems 716, determine which of the following...Ch. 6.2 - In Problems 716, determine which of the following...Ch. 6.2 - In Problems 716, determine which of the following...Ch. 6.2 - In Problems 1728, a binomial probability...Ch. 6.2 - In Problems 1728, a binomial probability...Ch. 6.2 - In Problems 1728, a binomial probability...Ch. 6.2 - In Problems 1728, a binomial probability...Ch. 6.2 - In Problems 1728, a binomial probability...Ch. 6.2 - In Problems 1728, a binomial probability...Ch. 6.2 - In Problems 1728, a binomial probability...Ch. 6.2 - Prob. 24AYUCh. 6.2 - In Problems 1728, a binomial probability...Ch. 6.2 - Prob. 26AYUCh. 6.2 - Prob. 27AYUCh. 6.2 - In Problems 1728, a binomial probability...Ch. 6.2 - In Problems 2934, (a) construct a binomial...Ch. 6.2 - In Problems 2934, (a) construct a binomial...Ch. 6.2 - In Problems 2934, (a) construct a binomial...Ch. 6.2 - In Problems 2934, (a) construct a binomial...Ch. 6.2 - In Problems 2934, (a) construct a binomial...Ch. 6.2 - In Problems 2934, (a) construct a binomial...Ch. 6.2 - NW On-Time Flights According to flightstats.com,...Ch. 6.2 - Morality In a recent poll, the Gallup Organization...Ch. 6.2 - Toilet Flushing In the Healthy Handwashing Survey...Ch. 6.2 - Allergy Sufferers Clarinex-D is a medication whose...Ch. 6.2 - Sneeze According to a study done by Nick Wilson of...Ch. 6.2 - Sneeze Revisited According to a study done by Nick...Ch. 6.2 - Jury Selection Twelve jurors are randomly selected...Ch. 6.2 - Sullivan Survey: Car Color According to paint...Ch. 6.2 - NW On-Time Flights According to flightstats.com,...Ch. 6.2 - Morality In a recent poll, the Gallup Organization...Ch. 6.2 - Toilet Flushing In the Healthy Handwashing Survey...Ch. 6.2 - Prob. 46AYUCh. 6.2 - Spanking In March 1995, The Harris Poll reported...Ch. 6.2 - Government Solutions? In May, 2000, the Gallup...Ch. 6.2 - Racial Profiling in New York City The following...Ch. 6.2 - Overbooking Flights Historically, the probability...Ch. 6.2 - Athletics Participation According to the High...Ch. 6.2 - Putting It Together: Beating the Stock Market One...Ch. 6.2 - State the criteria for a binomial probability...Ch. 6.2 - Explain what success means in a binomial...Ch. 6.2 - Explain how the value of n, the number of trials...Ch. 6.2 - Prob. 57AYUCh. 6.2 - When can the Empirical Rule be used to identify...Ch. 6 - Determine whether the random variable is discrete...Ch. 6 - Determine whether the distribution is a discrete...Ch. 6 - Stanley Cup The Stanley Cup is a best-of-seven...Ch. 6 - Expected Value of Three-Card Poker A popular...Ch. 6 - Determine whether the probability experiment...Ch. 6 - Emergency Room Visits The probability that a...Ch. 6 - Driving Age According to a Gallup poll, 60% of...Ch. 6 - Consider a binomial probability distribution with...Ch. 6 - State the condition required to use the Empirical...Ch. 6 - In sampling from finite populations without...Ch. 6 - Self-Injury According to the article...Ch. 6 - Prob. 1CTCh. 6 - Determine whether the distribution is a discrete...Ch. 6 - Prob. 3CTCh. 6 - Prob. 4CTCh. 6 - State the criteria that must be met for an...Ch. 6 - Determine whether the probability experiment...Ch. 6 - According to a study conducted by CESI Debt...Ch. 6 - Suppose the adult American population is equally...Ch. 6 - Consider a binomial probability distribution with...Ch. 6 - A woman who was shopping in Los Angeles had her...Ch. 6 - Using the information provided, describe, through...Ch. 6 - Does it appear that, on average, the Neulnders...Ch. 6 - Using the mean number of freights purchased per...Ch. 6 - Is it appropriate to estimate the average cost of...Ch. 6 - Throughout the picturesque valleys of...Ch. 6 - Throughout the picturesque valleys of...
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