Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 6, Problem 3CS
Using the mean number of freights purchased per family, estimate the average cost of the crossing for a family in pistoles and in U.S. dollars.
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Theorem 1.6 (The Kolmogorov inequality)
Let X1, X2,
Xn be independent random variables with mean 0 and suppose
that Var Xk 0,
P(max Sk>x) ≤
Isk≤n
Σ-Var X
In particular, if X1, X2,..., X, are identically distributed, then
P(max Sx) ≤
Isk≤n
nVar X₁
x2
Theorem 3.1 (The Cauchy-Schwarz inequality)
Suppose that X and Y have finite variances. Then
|EXY
About 25% of people in America use a certain social media website. In a group with 20 people (assume that it is a random sample of people in America), what are the following probabilities? (Round your answers to three decimal places.) a) At least one of them uses the website. b) More than two of them use the website. c) None of them use the website. d) At least 18 of them do not use the website. please show all steps and work for probabilities. answer parts a-d.
Chapter 6 Solutions
Fundamentals of Statistics (5th Edition)
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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- Example 4 (Part 2) We can use Statkey to take 50 different random samples of size 20 each, find the mean of each sample, and compute a confidence interval for each one. The graph of the sampling distribution of the means is on the left below, and that of the 50 confidence intervals is on the right. 1. What does each dot on the left hand dotplot represent? StatKey Sampling Distribution for a Mean Percent with Internet Access (Countries) ▾ Show Data Table Edit Data Choose samples of size n = 20 Upload File Change Column(s) Generate 1 Sample Generate 10 Samples Generate 100 Samples Generate 1000 Samples Reset Plot Sampling Dotplot of Mean Left Tail Two-Tail Right Tail 60 50 40 40 30 20 20 10 samples = 50 mean = 41.626 std. error = 5.089 : .: : :: 0 25 30 35 40 45 50 55 60 41.626 Data Plots Confidence Intervals 95%-> Confidence Intervals Coverage 48/50 = 96% 20 40 60 80 2. Circle the confidence intervals that failed to capture the true mean. 3. Circle the sample means that produced those…arrow_forwardExample 4 (Part 1) One of the datasets in the Lock book contains information about 215 countries of the world. One of the variables is the percentage of people in the country who have access to the internet. We have data for 203 of those countries. The plot on the right shows a dotplot of the data. 1. What are the cases? Population n = 203, mean = 43.024 median = 43.5, stdev = 29.259 20 2. What does each dot on the dotplot represent? 15 10 5 20 40 43.024 60 80 3. What type of data is do we collect from the cases, quantitative or categorical?arrow_forwardLet x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n =6 professional basketball players gave the following information. x 63 79 70 80 84 87 y 46 49 45 55 57 58 Find Se. Round your answer to three decimal places.arrow_forward
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