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Chapter 4b Sample test

Chapter 4b Sample test - Student Grady Simonton Instructor...

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Unformatted text preview: Student: Grady Simonton Instructor: Shawn Parvini Assignment: Chapter 4-B Submitted: 02/ 23/ 10 2:54pm Course: Matl1119: Elementary Statistics - Spring 2010 - CRN: 49239 - 16 weeks Book: Triola: Elementaiy Statistics, 11e 1_ Among 350 randomly selected drivers in the 16 - 18 age bracket, 259 were in a car crash in the last year. If a driver in that age bracket is randomly selected, what is the approximate probability that he or she will be in a car crash during the next year? Is it unusual for a driver in that age bracket to be involved in a car crash during a year? Is the resulting value high enough to be of concern to those in the 16 - 18 age bracket? Consider an event to be "unusual" if its probability is less than or equal to 0.05. The probability that a randomly selected person in the 16 - 18 age bracket will be in a car crash this year is approximately 0.740‘. (Type an integer or decimal rounded to the nearest thousandth as needed.) Would it be unusual for a driver in that age bracket to be involved in a car crash this year? Yes .-_*. No Would being involved in a car crash be a cause for concern for people in the 16 - 18 age bracket? #3 Yes No YOU ANSWERED: nothing nothing nothing 2_ When testing for current in a cable with six color-coded wires, the author used a meter to test two wires at a time. How many different tests are required for every possible pairing of two wires? The number of tests required is 15‘. YOU ANSWERED: nothing 3_ A state health department reports a 15% rate of a certain virus for the "at-risk" population. Under certain conditions, a preliminary screening test for the virus is correct 99% of the time. (Subjects are not told that they are infected until additional tests verify the results.) If someone is randomly selected fi‘om the at-risk population, what is the probability that they have the virus if it is known that they have tested positive in the initial screening? The probability that the atnrisk subject has the virus is 0346‘. (Round to three decimal places as needed.) YOU ANSWERED: nothing Page 1 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter 4-B Submitted: 02/ 23/ 10 2:54pm Course: Matl1119: Elementary Statistics - Spring 2010 - CRN: 49239 - 16 weeks Book: Triola: Elelnentaiy Statistics, 11e 4_ Refer to the figure below in which surge protectors p and q are used to protect an expensive high-definition television. If there is a surge in the voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.89 probability of working correctly when a voltage surge occurs. Complete parts (a) through (c) below. P P— ‘1 TV TV =9— ‘D'E q Series Configuration Parallel Configuration :1. If the two surge protectors are arranged in series, what is the probability that a voltage surge will not damage the television? 0.9379.‘ (Type an integer or decimal.) b. If the two surge protectors are arranged in parallel, what is the probability that a voltage surge will not damage the television? 0.7921‘ (Type an integer or decimal.) c. Which arrangement should be used for better protection? The series arrangment provides better protection because it has a lower probability of protection. The parallel arrangment provides better protection because it has a lower probability of protection. 1* The series arrangment provides better protection because it has a higher probability of protection. The parallel arrangment provides better protection because it has a higher probability of protection. YOU ANSWERED: nothing nothing nothing 5_ The following data summarizes results from 1025 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was intoxicated. Pedestrian intoxicated not intoxicated Driver intoxicated 9? 5? not 1ntox1cated 286 585 P(pedesttian or driver were intoxicated) = 0.429‘| (Do not round until the final answer. Then round to three decimal places as needed.) YOU ANSWERED: nothing Page 2 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter 4-B Submitted: 02/ 23/ 10 2:54pm Course: Matl1119: Elementary Statistics - Spring 2010 - CRN: 49239 - 16 weeks Book: Triola: Elementaiy Statistics, 11e 6_ The data in the following table summarizes blood groups and Rh types for 100 typical people. If one person is randomly selected, find the probability of getting someone who is group AB or type Rh + . Group P(person selected is group AB or type Rh + ) = 0.84? (Type an integer or decimal.) YOU ANSWERED: nothing ?_ Determine whether the two events are disjoint for a single trial. (Hint: Consider "disjoint" to be equivalent to "separate" or "not overlapping".) Randomly selecting a guitar firom the instrument assembly line and getting one that is free of defects. Randomly selecting a guitar from the instrument assembly line and getting one with a warped neck. Choose the correct answer below. -;'__IA. The events are disjoint. The first event is the complement of the second. 1'} B. The events are not disjoint. They can occur at the same time. ft C. The events are disjoint. They cannot occur at the same time. -;'__I D. The events are not disjoint. The first event is not the complement of the second YOU ANSWERED: nothing 8_ If a couple plans to have 5 children, what is the probability that there will be at least one boy? Assume boys and girls are equally likely. Is that probability high enough for the couple to be very confident that they will get at least one boy in 5 children? .31" The probability is a . (Type an integer or a simplified fraction.) Can the couple be very confident that they will have at least one boy? [k A. Yes because the probability is close to 1. =1: '8. No because the probability is close to 1. .;“__. C. Yes because the probability is close to 0. a"; -. D. No because the probability is close to 0. YOU ANSWERED: nothing nothing Page 3 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter 4-B Submitted: 02/ 23/ 10 2:54pm Course: Matl1119: Elementary Statistics - Spring 2010 - CRN: 49239 - 16 weeks Book: Triola: Elelnentaiy Statistics, 11e It is impossible to get 9 queens when selecting cards hunt a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. The probability is 0‘. (Type an integer or a decimal.) YOU ANSWERED: nothing 10. 11. Evaluate the given expression and express the result using the usual format for writing numbers (instead of scientific notation). 33C2 33C; = 528‘ YOU ANSWERED: nothing For the given pair of events, classify the two events as independent or dependent. (If two events are technically dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent.) Waking up and finding the alarm clock blinking 12:00 Getting to class late Choose the correct answer below. i:- A. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other. if . B. The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other. ‘._: '- C. The two events are independent because the occurrence of one affects the probability of the occurrence of the other. 1* D. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other. YOU ANSWERED: nothing Page 4 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter 4-B Submitted: 02/ 23/ 10 2:54pm Course: Matl1119: Elementary Statistics - 12. Spring 2010 - CRN: 49239 - 16 weeks Book: Triola: Elementary Statistics, lle Refer to the sample data below. If one of the responses is randomly selected, what is the probability that it is a false positive? What does this probability suggest about the accuracy of the polygraph test? Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) Positive test results 20 47 (Polygraph test indicated that the subject lied) (false positive) (true positive) Negative test results 34 12 (Polygraph test indicated that the subject did not lie) (true negative) (false negative) P(false positive) = 0.177‘ (Round to three decimal places as needed.) The polygraph test is not very accurate ‘ because the probability of having a false positive is high‘. YOU ANSWERED: nothing nothing nothing 13. Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 146 subjects with positive test results, there are 29 false positive results. Among 153 negative results, there are 2 false negative results. Complete parts (a) through (c). (Hint: Construct a table.) a. How many subjects were included in the study? The total number of subjects in the study was 299‘. b. How many subjects did not use marijuana? A total of 180‘ subjects did not use marijuana. c. What is the probability that a randomly selected subject did not use marijuana? The probability that a randomly selected subject did not use marijuana is 0.602‘. (Round to three decimal places as needed.) YOU ANSWERED: nothing nothing nothing Page 5 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter 4-B Submitted: 02/23/10 2:54pm Course: Math119: Elementary Statistics - Spring 2.010 - CRN: 49239 - 16 weeks Book: Triola: Elementary Statistics, 11e 14_ A “combination" lock is opened with the correct sequence of three numbers between 1 and 79 inclusive. (A number can be used more than once.) What is the probability of guessing those three numbers and opening the lock with the first try? ‘ l P(first guess opens lock) = m (Type an integer or simplified fraction.) YOU ANSWERED: nothing 15_ The table below displays results from experiments with polygraph instruments. Find P(subject lied | negative test result). Compare this result with the probability of selecting a subject with a negative test result, given that the subject lied. Are P(subject lied | negative test result) and P(negative test result | subject lied) equal? Did the subject actually lie? Yes (Lied) Positive test result 41 (Polygraph test indicated that the subject lied.) (false positive) (true positive) Negative test result 30 9 (Polygraph test indicated that the subject did not (true negative) (false negative) lie.) P(subject lied | negative test result) = 0231‘ (Round to three decimal places as needed.) Find the probability of selecting a subject with a negative test result, given that the subject lied. P(negative test result | subject lied) = 0.180‘ (Round to three decimal places as needed.) Compare the two values. Are they equal? Yes (F. NO YOU ANSWERED: nothing nothing nothing Page 6 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter 4-B Submitted: 02/23/10 2:54pm Course: Math119: Elementary Statistics - 16. 17. Spring 2010 - CRN: 49239 - 16 weeks Book: Triola: Elementary Statistics, lle A modified roulette wheel has 28 slots. One slot is 0, another is 00, and the others are numbered 1 through 26, respectively. You are placing a bet that the outcome is an odd number. (In roulette, 0 and 00 are neither odd nor even.) a. What is your probability of winning? The probability of winning is 13 f 28‘. (Type an integer or a simplified fraction.) b. What are the actual odds against winning? The actual odds against winning are 15‘: 13‘. c. When you bet that the outcome is an odd number, the payoff odds are 1:1. How much profit do you make if you bet $12 and win? If you win, the payoff is $ 12‘. d. How much profit should you make on the $12 bet if you could somehow convince the casino to change its payoff odds so that they are the same as the actual odds against winning? $ 1335 (Round to the nearest cent as needed.) YOU ANSWERED: nothing nothing nothing nothing nothing A roller coaster has 3 seats in each of 14 rows. Riders are assigned to seats in the order that they arrive. If you ride this roller coaster once, what is the probability of getting the coveted first row? How many times must you ride in order to have at least a 93% chance of getting a first-row seat at least once? The probability of getting a first-row seat is 0.071‘. (Round to three decimal places as needed.) How many times must you ride in order to have at least a 93% chance of getting a first-row seat at least once? 36‘ times (Round up to the nearest whole number.) YOU ANSWERED: nothing nothing Page 7 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter 4-B Submitted: 02/23/10 2:54pm Course: Math119: Elementary Statistics - 18. 19. Spring 2.010 - CRN: 49239 - 16 weeks Book: Triola: Elementary Statistics, 11e Refer to the table below. Given that 2 of the 192 subjects are randomly selected, complete parts (a) and (b). 3. Assume that the selections are made with replacement. What is the probability that the 2 selected subjects are both group 0 and type Rh + ? 0.1406‘ (Round to four decimal places as needed.) b. Assume the selections are made without replacement. What is the probability that the 2 selected subjects are both group 0 and type Rh“? 0.1394‘ (Round to four decimal places as needed.) YOU ANSWERED: nothing nothing Winning the jackpot in a particular lottery requires that you select the correct five numbers between 1 and 60 and, in a separate drawing, you must also select the correct single number between 1 and 27. Find the probability of winning the jackpot. ‘ 1 Th bb'l' f‘ ' th' ‘7 —' epro a 11ty0 Wlmmg CJaCkPO ‘5 147,460,324 (Type an integer or simplified fraction.) YOU ANSWERED: nothing Page 8 Student: Grady Simonton Instructor: Shawn Parvini Assignment: Chapter 4-B Submitted: 02/23/10 2:54pm Course: Math119: Elementary Statistics - Spring 2010 - CRN: 49239 - 16 weeks Book: Triola: Elementary Statistics, 11e 20_ A professional basketball star who had a reputation a. Is the proportion of successful free throws P from for being a poor free throw shooter made 5084 of the simulation reasonably close to the value of the 9740 free throws that he attempted, for a success 0.522? ratio of 0.522. A simulation was developed to generate random numbers WWW“ 1 and 1000- All {in Yes, P is reasonably close to the value of outcome of 1 through 522 was considered to be a 0521 free throw that is made, and an outcome of 523 . t N P _ 1 l l f through 1000 was considered to be a free throw that 0 2’2 1s not reasonab y c ose to the V3 ue o is missed. The list below shows the results for five generated numbers where 1 represents a free throw that was made and 0 represents a free throw that was b. The simulation was conducted 10 times to missed. Complete parts (a) and (b). generate five results R1, R2, R3, R4 and R5 each time, as shown in the table below. Determine the 1 1 1 0 1 proportion of successful free throws P in each case. Case R1 R2 R3 R4 R5 P 1 1 1 1 0 1 0.8 2 0 1 1 0 1 6‘ 3 0 0 0 0 1 2‘ 4 0 1 o 0 0 0.2‘ 5 0 1 1 0 1 6‘ 6 0 1 1 1 1 8‘ 7 0 1 0 1 0 0.4‘ 8 1 0 o 0 1 0.4‘ 9 0 1 0 1 0 0.4‘ 10 1 1 o 1 0 0.6‘ (Type integers or decimal U1 -) Based on the above results, would it be unusual for the professional basketball star to make all of five free throws in a game? (Elf Yes No YOU ANSWERED: nothing nothing nothing nothing nothing nothing nothing Page 9 Student: Grady Silnonton Instructor: Shawn Parvini Assignment: Chapter 4-B Submitted: 02/23/10 2:54pm Course: Math119: Elementary Statistics - Spring 2.010 - CRN: 49239 - 16 weeks Book: Triola: Elementary Statistics, 11e 20' nothing (cont) nothing nothing nothing nothing Page 10 ...
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