Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Chapter 3, Problem 148UP
a.
To determine
Identify whether the events are mutually exclusive or not.
a.
Expert Solution
Answer to Problem 148UP
Events A and B are not mutually exclusive.
Explanation of Solution
Mutually Exclusive Events:
Two events A and B are mutually exclusive if there is no element in common. For mutually exclusive events A and B,
From the two events it is clear that, both events can occur together. That is, Team T wins the World Series and Person E and Person R, hit 75 home runs in next year. Therefore, the events are not mutually exclusive.
b.
To determine
Explain whether the events are mutually exclusive or not.
b.
Expert Solution
Answer to Problem 148UP
Events A and B are not mutually exclusive.
Explanation of Solution
Event A represents that Psychiatric patient T responds to a stimulus within 5 seconds and B represents that Psychiatric patient T has the fastest stimulus response time of 2.3 seconds.
From the two events it is clear that, both events can occur together. In other words, either Psychiatric patient T responds to a stimulus within 5 seconds or has fastest stimulus response time of 2.3 seconds. Therefore, the events are not mutually exclusive.
c.
To determine
Check whether the events are mutually exclusive or not.
c.
Expert Solution
Answer to Problem 148UP
Events A and B are mutually exclusive.
Explanation of Solution
Event A represents that high school graduate Student C enrolls at the University of Country S and B represents that high school graduate Student C does not enroll in college next year.
It is not possible that, high school graduate Student C can both enroll and not enroll in a college. In other worlds, both events cannot be occurs together. Therefore, the events are mutually exclusive.
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Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include:
Mileage (mpg)
Number of Cylinders (cyl)
Displacement (disp)
Horsepower (hp)
Research: Google to understand these variables.
Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp
Mean
Median
First Quartile (Q1)
Second Quartile (Q2)
Third Quartile (Q3)
Fourth Quartile (Q4)
10th Percentile
70th Percentile
Skewness
Kurtosis
Document Your Results:
In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command”
In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…
Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include:
Mileage (mpg)
Number of Cylinders (cyl)
Displacement (disp)
Horsepower (hp)
Research: Google to understand these variables.
Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp
Mean
Median
First Quartile (Q1)
Second Quartile (Q2)
Third Quartile (Q3)
Fourth Quartile (Q4)
10th Percentile
70th Percentile
Skewness
Kurtosis
Document Your Results:
In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command”
In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…
Chapter 3 Solutions
Statistics (13th Edition)
Ch. 3.1 - What is an experiment?
Ch. 3.1 - What are the most basic outcomes of an experiment...Ch. 3.1 - Define the sample space.
Ch. 3.1 - What is a Venn diagram?
Ch. 3.1 - Give two probability rules for sample points.
Ch. 3.1 - What is an event?
Ch. 3.1 - How do you find the probability of an event made...Ch. 3.1 - Give a scenario where the combinations rule is...Ch. 3.1 - 3.1 An experiment results in one of the following...Ch. 3.1 - The following Venn diagram describes the sample...
Ch. 3.1 - 3.3 The sample space for an experiment contains...Ch. 3.1 - 3.4 Compute each of the following:
Ch. 3.1 - 3.5 Compute the number of ways you can select n...Ch. 3.1 - Two fair dice are tossed, and the up face on each...Ch. 3.1 - 3.7 Two marbles are drawn at random and without...Ch. 3.1 - Simulate the experiment described in Exercise...Ch. 3.1 - Use the applet Simulating the Probability of...Ch. 3.1 - Use the applet Simulating the Probability of a...Ch. 3.1 - Do social robots walk or roll? Refer to the...Ch. 3.1 - Crop damage by wild boars. The level of crop...Ch. 3.1 - 3.11 Colors of M&M’s candies. When they were first...Ch. 3.1 - Rare underwater sounds. A study of underwater...Ch. 3.1 - USDA chicken inspection. The United States...Ch. 3.1 - African rhinos. Two species of rhinoceros native...Ch. 3.1 - STEM experiences for girls. Refer to the 2013...Ch. 3.1 - Health risks to beachgoers. According to a...Ch. 3.1 - Cheek teeth of extinct primates. Refer to the...Ch. 3.1 - Chance of rain. Answer the following question...Ch. 3.1 - Prob. 27ACICh. 3.1 - Museum management. Refer to the Museum Management...Ch. 3.1 - 3.109 Choosing portable grill displays. Consider a...Ch. 3.1 - Prob. 30ACICh. 3.1 - 3.22 Jai-alai bets. The Quinella bet at the...Ch. 3.1 - Using game simulation to teach a course. In...Ch. 3.1 - Lead bullets as forensic evidence. Chance (Summer...Ch. 3.1 - Matching socks. Consider the following question...Ch. 3.1 - Post-op nausea study. Nausea and vomiting after...Ch. 3.1 - Dominant versus recessive traits. An individual’s...Ch. 3.1 - Drug testing of firefighters. Hillsborough County,...Ch. 3.4 - Define in words mutually exclusive events.
Ch. 3.4 - Define in words the union of two events.
Ch. 3.4 - Define in words the intersection of two events.
Ch. 3.4 - Define in words the complement of an event.
Ch. 3.4 - Prob. 42UPCh. 3.4 - State the additive rule of probability for...Ch. 3.4 - State the additive rule of probability for any two...Ch. 3.4 - 3.31 A fair coin is tossed three times, and the...Ch. 3.4 - 3.30 Suppose P (A) = A, P(B) = 7, and P (A ∩ B) =...Ch. 3.4 - 3.33 Consider the Venn diagram below, where
P(E1)...Ch. 3.4 - Consider the following Venn diagram, where
P(E1) =...Ch. 3.4 - 3.32 A pair of fair dice is tossed. Define the...Ch. 3.4 - Three fair coins are tossed. We wish to find the...Ch. 3.4 - The outcomes of two variables are (Low. Medium....Ch. 3.4 - Use the applets Simulating the Probability of...Ch. 3.4 - Use the applets Simulating the Probability of...Ch. 3.4 - Social networking. According to the Pew Research...Ch. 3.4 - 3.37 Do social robots walk or roll? Refer to the...Ch. 3.4 - 3.39 Study of analysts' forecasts. The Journal of...Ch. 3.4 - Gene expression profiling. Gene expression...Ch. 3.4 - 3.41 Scanning errors at Walmart. The National...Ch. 3.4 - Sleep apnea and sleep stage transitioning. Sleep...Ch. 3.4 - Attempted suicide methods. A study of attempted...Ch. 3.4 - 3.48 Guilt in decision making. The effect of guilt...Ch. 3.4 - Prob. 60ACICh. 3.4 - Fighting probability of fallow deer bucks. In...Ch. 3.4 - 3.47 Cell phone handoff behavior. A "handoff' is a...Ch. 3.4 - Chemical signals of mice. The ability of a mouse...Ch. 3.4 - Employee behavior problems. The Organizational...Ch. 3.4 - Cloning credit or debit cards. Wireless identity...Ch. 3.4 - 3.50 Galileo's Passedix game. Passedix is a game...Ch. 3.4 - 3.51 Encoding variability in software. At the 2012...Ch. 3.6 - Explain the difference between an unconditional...Ch. 3.6 - Give the multiplicative rule of probability...Ch. 3.6 - Give the formula for finding P(B|A).
Ch. 3.6 - Defend or refute each of the following...Ch. 3.6 - 3.52 For two events, A and B, P (A) − .4, P (B) −...Ch. 3.6 - 3.53 For two events, A and B, P (A) = .4, P (B) =...Ch. 3.6 - An experiment results in one of three mutually...Ch. 3.6 - 3.55 For two independent events, A and B, P (A) =...Ch. 3.6 - An experiment results in one of five sample points...Ch. 3.6 - Consider the experiment defined by the...Ch. 3.6 - 3.59 A sample space contains six sample points and...Ch. 3.6 - 3.58 Two fair dice are tossed, and the following...Ch. 3.6 - A box contains two white, two red, and two blue...Ch. 3.6 - Use the applet Simulating the Probability of...Ch. 3.6 - 3.63 Blood diamonds. According to Global Research...Ch. 3.6 - 3.64 Do social robots walk or roll? Refer to the...Ch. 3.6 - Crop damage by wild boars. Refer to the Current...Ch. 3.6 - Cardiac stress testing. In addition to standard...Ch. 3.6 - National firearms survey. The Harvard School of...Ch. 3.6 - Guilt in decision making. Refer to the Journal of...Ch. 3.6 - Speeding linked to fatal car crashes. According to...Ch. 3.6 - Appraisals and negative emotions. According to...Ch. 3.6 - Prob. 89ACICh. 3.6 - Sleep apnea and sleep stage transitioning. Refer...Ch. 3.6 - 3.73 Firefighters' use of gas detection devices....Ch. 3.6 - Compensatory advantage in education. According to...Ch. 3.6 - 3.75 Are you really being served red snapper? Red...Ch. 3.6 - Fighting probability of fallow deer bucks. Refer...Ch. 3.6 - Extinct New Zealand birds. Refer to the...Ch. 3.6 - Muscle, fat, and bone issues while aging. In...Ch. 3.6 - 3.71 Ambulance response time. Geographical...Ch. 3.6 - Intrusion detection systems. A computer intrusion...Ch. 3.6 - Detecting traces of TNT. University of Florida...Ch. 3.6 - Random mutation of cells. Chance (Spring 2010)...Ch. 3.6 - Testing a psychic’s ability. Consider an...Ch. 3.6 - 3.78 Risk of a natural gas pipeline accident....Ch. 3.6 - 3.80 Encryption systems with erroneous...Ch. 3.7 - Give a scenario where the multiplicative rule...Ch. 3.7 - Give a scenario where the permutations rule...Ch. 3.7 - Give a scenario where the partitions rule...Ch. 3.7 - What is the difference between the permutations...Ch. 3.7 - Find the numerical values of
Ch. 3.7 - Use the multiplicative rule to determine the...Ch. 3.7 - Determine the number of sample points contained in...Ch. 3.7 - An experiment consists of choosing objects without...Ch. 3.7 - Cheek teeth of extinct primates. Refer to the...Ch. 3.7 - Choosing portable grill displays. Refer to the...Ch. 3.7 - Monitoring impedance to leg movements. In an...Ch. 3.7 - Picking a basketball team. Suppose you are to...Ch. 3.7 - Selecting project teams. Suppose you are managing...Ch. 3.7 - 3.125 Using game simulation to teach a course. In...Ch. 3.7 - U.S. ZIP codes. The nine-digit ZIP code has become...Ch. 3.7 - Traveling between cities. A salesperson living in...Ch. 3.7 - Football uniform combinations. Nike manufactures...Ch. 3.7 - Kiwifruit as an iron supplement. An article...Ch. 3.7 - Randomization in a study of TV commercials....Ch. 3.7 - Multilevel marketing schemes. Successful companies...Ch. 3.7 - Mathematical theory of partitions. Mathematicians...Ch. 3.7 - The “marriage” problem. A mathematics assignment...Ch. 3.7 - Florida license plates. In the mid-1980s, the...Ch. 3.7 - Selecting a maintenance support system. In the...Ch. 3.7 - Volleyball positions. Intercollegiate volleyball...Ch. 3.7 - Studying exam questions. A college professor hands...Ch. 3.7 - Modeling the behavior of granular media. Granular...Ch. 3.7 - A straight flush in poker. Consider 5-card poker...Ch. 3.8 - Explain the difference between the two...Ch. 3.8 - Why is Bayes’s rule unnecessary for finding P(B|A)...Ch. 3.8 - Why is Bayes’s rule unnecessary for finding P(B|A)...Ch. 3.8 - 3.81 Suppose the events B1 and B2 are mutually...Ch. 3.8 - 3.82 Suppose the events B1, B2, and B3 are...Ch. 3.8 - 3.83 Suppose the events B1, B2, and B3 are...Ch. 3.8 - Reverse-engineering gene identification. In...Ch. 3.8 - 3.122 Drug testing in athletes. When Olympic...Ch. 3.8 - 3.85 Fingerprint expertise. A study published in...Ch. 3.8 - 3.86 Tests for Down syndrome. Currently, there are...Ch. 3.8 - HIV testing and false positives. Bayes’s rule was...Ch. 3.8 - 3.89 Mining for dolomite. Dolomite is a valuable...Ch. 3.8 - 3.90 Nondestructive evaluation. Nondestructive...Ch. 3.8 - 3.92 Intrusion detection systems. The Journal of...Ch. 3.8 - Confidence of feedback information for improving...Ch. 3.8 - 3.93 Forensic analysis of JFK assassination...Ch. 3 - Prob. 148UPCh. 3 - Use the symbols ⋂, ⋃, |, and c to convert the...Ch. 3 - 3.95 A sample space consists of four sample...Ch. 3 - 3.97 A and B are mutually exclusive events, with P...Ch. 3 - 3.96 For two events A and B, suppose P (A) = .7, P...Ch. 3 - 3.99 Given that P (A∩B) = .4 and P (A|B) = .8,...Ch. 3 - 3.101 The Venn diagram below illustrates a sample...Ch. 3 - A fair die is tossed, and the up face is noted. If...Ch. 3 - A balanced die is thrown once. If a 4 appears, a...Ch. 3 - Two events, A and B, are independent, with P(A) =...Ch. 3 - Find the numerical value of
6!
0!
Ch. 3 - Use the applet entitled Random Numbers to generate...Ch. 3 - Going online for health information. A...Ch. 3 - Study of ancient pottery. Refer to the Chance...Ch. 3 - Post office violence. The Wall Street Journal...Ch. 3 - Sterile couples in Jordan. A sterile family is a...Ch. 3 - 3.107 New car crash tests. Refer to the National...Ch. 3 - Selecting a sample. A random sample of five...Ch. 3 - Fungi in beech forest trees. The current status of...Ch. 3 - Do you have a library card? According to a Harris...Ch. 3 - Beach erosional hot spots. Beaches that exhibit...Ch. 3 - Chemical insect attractant. An entomologist is...Ch. 3 - Toxic chemical incidents. Process Safety Progress...Ch. 3 - Prob. 170ACICh. 3 - Winning at roulette. Roulette is a very popular...Ch. 3 - Cigar smoking and cancer. The Journal of the...Ch. 3 - Errors in estimating job costs. A construction...Ch. 3 - Elderly wheelchair user study. The American...Ch. 3 - Prob. 175ACICh. 3 - Prob. 176ACICh. 3 - Shooting free throws. In college basketball games,...Ch. 3 - Prob. 178ACICh. 3 - Prob. 179ACICh. 3 - Prob. 180ACICh. 3 - Prob. 181ACICh. 3 - 3.112 Monitoring quality of power equipment....Ch. 3 - Prob. 183ACICh. 3 - Dream experiment in psychology. A clinical...Ch. 3 - Prob. 185ACICh. 3 - Forest fragmentation study. Refer to the...Ch. 3 - Odds of winning a horse race. Handicappers for...Ch. 3 - Sex composition patterns of children in families....Ch. 3 -
Finding an organ transplant match. One of the...Ch. 3 - 3.131 Chance of winning blackjack. Blackjack, a...Ch. 3 - Accuracy of pregnancy tests. Seventy-five percent...Ch. 3 - 3.130 Chance of winning at “craps.” A version of...Ch. 3 - The perfect bridge hand. According to a morning...Ch. 3 - Odd Man Out. Three people play a game called “Odd...Ch. 3 - 3.133 “Let’s Make a Deal.” Marilyn vos Savant, who...Ch. 3 - Most likely coin-toss sequence. In Parade...
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