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Unformatted text preview: Student: Grady Si1nonton Instructor: Shawn Pan'ini Assignment: C‘llapter4A
Submitted: 03."'33."'10 3:51pm Colu'se: 1\Iat11119: Elelnentaiy Statistics  Spring 3010  C‘RN: 49339  16 weeks Book: Triola: Elelnentaiy Statistics. He 1_ In horse racing, a trifecta is a bet that the ﬁrst three ﬁnishers in a race are selected, and they are selected in
the correct order. Does a trifecta involve combinations or permutations? Explain. Choose the correct answer below. Because the order of the ﬁrst three ﬁnishers does not make a difference, the trifecta involves
combinations. Because the order of the ﬁrst three ﬁnishers does not make a difference, the trifecta involves
permutations. * Because the order of the ﬁrst three ﬁnishers does make a difference, the trifecta involves
permutations. Because the order of the ﬁrst three ﬁnishers does make a difference, the trifecta involves
combinations. YOU ANSWERED: nothing 2_ In designing an experiment involving a treatment applied to 9 test subjects, researchers plan to use a simple
random sample of‘9 subjects selected from a pool of 30 available subjects. (Recall that with a simple
random sample, all samples of the same size have the same chance of being selected.) Answer the
questions below. a. How many different simple random samples are possible?
‘
14,307, 1 50 b. What is the probability of each simple random sample in this case? V 1 m (Type an integer or a simpliﬁed fraction.) YOU ANSWERED: nothing
nothing Page 1 Student: Grady Si111o11ton Instructor: Shawn Pan'ini Assignment: Chapter 4A
Submitted: 03."'33."'10 3:51pm Colu'se: 1\Iat11119: Elelnentaiy Statistics  Spring 3010  C‘RN: 49339  16 weeks Book: T1‘iola: Elelnentaiy Statistics. 11e 3. If A denotes some event, what does A denote? If P(A) = 0.003, what is the value of HA)? If P(A) = 0.003,
is A unusual? What does A denote? Event A is always unusual.
Events A and A share all outcomes. Event A denotes the complement of event A, meaning that A and A share some but not all
outcomes. Event A denotes the complement of event A, meaning that A consists of all outcomes in which
event A does not occur. If P(A) = 0.003, what is the value of HA)? HA) = 0.997‘ (Type an integer or a decimal.) IfP(A) = 0.003, is X unusual? *No Yes YOU ANSWERED: nothing nothing
nothing 4_ A single trial of some procedure is conducted and the resulting events are analyzed. Describe what it
means for two events in a single trial to be disjoint. Choose the correct answer below. The events cannot combine two or more simple events.
The events always happen at the same time.
The events combine two or more simple events. 1' The events cannot happen at the same time. YOU ANSWERED: nothing Page 3 Student: Grady Silnonton
Submitted: 03."'33."'10 3:51pm 6. Instructor: Shawn Panini Colu'se: Mathlh): Elementary Statistics 
Spring 3010  C‘RN: 49339  16 weeks
Book: Triola: Elementary Statistics. 11e Assignment: Chapter 4A Answer the following questions. a. If P(A) = 0.33, ﬁnd the complement of A, HA).
b. A certain group of women has a 0.87% rate of redl'green color blindness. If a woman is randomly
selected, what is the probability that she does not have redﬁgreen color blindness? a. MA) = 0.6?” (Type an exact answer in simpliﬁed form.) b. What is the probability that the woman selected does not have reds“ green color blindness?
0.9913‘ (Type an exact answer in simplified form.) YOU ANSWERED: nothing
nothing To the right are the outcomes that are possible when a couple has three children. Refer 1st 2nd 3rd
to that list, and ﬁnd the probability ofeach event. boy — boy — boy
a. Among three children, there is exactly 1 boy. boy _ boy _ girl
b. Among three children, there are exactly 0 boys. boy _ girl _ boy
c. Among three children, there are exactly 3 girls. boy  girl  girl
girl — boy — boy
girl  boy  girl
girl  girl  boy
girl — girl — girl
a. What is the probability of exactly 1 boy out of three children? V 3
E (Type an integer or a simpliﬁed fraction.) b. What is the probability of exactly 0 boys out of three children? ‘ 1
E (Type an integer or a simpliﬁed fraction.) c. What is the probability of exactly 3 girls out ofthree children? ‘ 1
E (Type an integer or a simpliﬁed fraction.) YOU ANSWERED: nothing nothing
nothing Page 3 Student: Grady Silnonton Instructor: Shawn Pan'ini Assignment: Cllapte1‘4A
Submitted: 03."'33."'10 3:51pm Colu'se: 1\Iat11119: Elementary Statistics  Spring 3010  C‘RN: 49339  16 weeks Book: Triola: Elementary Statistics. He 7_ In a genetics experiment on peas, one sample of offspring contained 440 green peas and 13? yellow peas.
Based on those results, estimate the probability of getting an offspring pea that is green. Is the result
reasonably close to the value of3 r“ 4 that was expected? The probability of getting a green pea is approximately 0763‘.
(Type an integer or decimal rounded to three decimal places as needed.) Is this probability reasonably close to 3 f 4? Choose the correct answer below. No, it is not reasonably close. 1" Yes, it is reasonably close. YOU ANSWERED: nothing
nothing 8_ The probability of a randomly selected car crashing during a year in a certain country is 0.04??. If a family
has four cars, find the probability that at least one of them has a car crash during a year. Is there any reason
why the probability might be wrong? The probability that at least one of them has a crash during the year is 0. 1776‘.
(Round to four decimal places as needed.) Is there a reason why the probability might be wrong? * Yes, the four cars are not randomly selected.
No, one outcome does not have an effect on later trials.
No, the four cars are representative of all cars in the country. Yes, one outcome has an effect on later trials. YOU ANSWERED: nothing
nothing Page 4 Student: Grady Silnonton
Submitted: 02.23:“ 10 2:51pm 9. lil. Instructor: Shawn Pan'illi Colu'se: MathllQ: Elelnentaiy Statistics 
Spring 3010  CRN: 49339  16 weeks
Book: T1'iola: Elelnentaiy Statistics. lle Assiglunent: Chapter 4A In a county, 54% of the adults are males. One adult is randomly selected for a survey involving credit card
usage. a. Find the prior probability that the selected person is a female. b. It is later learned that the selected survey subject was smoking a cigar. Also, 8.2% of males smoke
cigars, whereas 1.4% of females smoke cigars. Use this additional information to find the probability that
the selected subject is female. a. P(Female) = 0.46‘ (Type an integer or a decimal.) b. P(FemaleCigar) = 0.12?‘ (Round to three decimal places as needed.) YOU ANSWERED: nothing
nothing A statistics student wants to ensure that she is not late for an early statistics class because ofa
malfunctioning alarm clock. Instead ofusing one alarm clock, she decides to use four. What is the
probability that at least one ofher alarm clocks works correctly ifeach individual alarm clock has an 83%
chance of working correctly? Does the student really gain much by using four alarm clocks instead of only
one? How are the results affected if all of the alarm clocks run on electricity instead of batteries? The probability that at least one ofher alarm clocks works correctly is 0.9992‘.
(Round to four decimal places as needed.) Does the student really gain much by using four alarm clocks instead ofonly one?I 1* Yes. The likelihood of a functioning alarm clock increases dramatically with four alarm clocks.
No. The probability ofone alarm clock working is about the same as four alarm clocks working.
Yes. It is four times as likely that at least one clock will work properly. No. The clocks are not independent. How are the results affected ifall of the alarm clocks run on electricity instead ofbatteries?
The results are not affected because the alarm clocks are still independent.
The results are not affected because all clocks run on the same electricity.
*7 The results change because the alarm clocks are no longer independent. The results change because each clock now has a new probability. YOU ANSWERED: nothing
nothing nothing Page 5 Student: Grady Silnonton
Submitted: 03."'33."'10 3:51pm 11. 12. 13. Instructor: Shawn Panini Colu'se: Mathlh): Elementaiy Statistics 
Spring 3010  C‘RN: 49339  16 weeks
Book: Triola: Elementaiy Statistics. 11e Assignment: Chapter 4A Find the probability of winning a lottery with the following rule. Select the four winning numbers from 1, 2, . . . , 38. (In any order. No repeats.) V 1
73,815 P(winning) = (Type an integer or a simplified fraction.) YOU ANSWERED: nothing Use the data in the following table, which summarizes results from 155 pedestrian deaths that were caused
by accidents. If two different deaths are randomly selected, find the probability that they both involved
intoxicated drivers. Pedestrian Intoxicated? Intoxicated? The probability is 0.23 25‘. (Round to four decimal places as needed.) YOU ANSWERED: nothing Determine the written description of the complement of the given event. When seven athletes are tested for a certain ability, at least one of them tests positive. Choose the correct answer below. More than one ofthem test negative
1' All of them test negative
All of them test positive None of them test negative YOU ANSWERED: nothing Page 6 Student: Grady Silnonton
Submitted: 03."'33."'10 3:51pm 14. 15. Instructor: Shawn Panini Colu'se: Mathlh): ElenIentaiy Statistics 
Spring 3010  C‘RN: 49339  16 weeks
Book: Triola: ElenIentaiy Statistics. 11e Assignment: Chapter 4A In a study of fatalities caused by motorcycle crashes, it was found that 95% of motorcycle drivers are men
(based on data from "Motorcycle Rider Conspicuity and Crash Related Injury," by Wells et al., BJM USA).
Describe a procedure for using software or a TI83 x“ 84 Plus calculator to simulate the random selection of 20 motorcycle drivers. Each individual outcome should consist of an indication of whether the motorcycle
driver is a man or woman. In a survey of consumers aged l2 and older, respondents were asked how many cell phones were in use by
the household. Among the respondents, 206 answered "none," 280 said "one,’I 359 said "two," 139 said
"three," and 130 responded with four or more. Find the probability that a randomly selected household has
four or more cell phones in use. Is it unusual for a household to have four or more cell phones in use?
Consider an event to be unusual if its probability is less than or equal to 0.05. P(four or more cell phones) = 0.1 17"
(Round to three decimal places as needed.) Is it unusual for a household to have four or more cell phones in use? No, because the probability of a respondent with four or more cell phones in use is
less than or equal to 0.05. Yes, because the probability of a respondent with four or more cell phones in use is
less than or equal to 0.05. Yes, because the probability ofa respondent with four or more cell phones in use is greater than
0.05. * No, because the probability ofa respondent with four or more cell phones in use is greater than
0.05. YOU ANSWERED: nothing
nothing Page T Student: Grady Silnonton Instructor: Shawn Pan'ini Assignment: Chapter 4A
Submitted: 02.23:”10 2:51pm Colu'se: MathllQ: Elementary Statistics  Spring 3010  CRN: 49339  16 weeks Book: T1'iola: Elementary Statistics. lle 16_ 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 not group B.
Group
0 A B AB
T Rh + 31 30 14 5
ype Rh _ 5 8 4 3 P(person selected is not group B) = 0.82‘ (Type an integer or decimal.)
YOU ANSWERED: nothing 1?_ The principle of redundancy is used when system reliability is improved through redundant or backup
components. Assume that your alarm clock has a 0.321 probability of working on any given morning and
answer the questions below. a. What is the probability that your alarm clock will not work on the morning of
an important ﬁnal exam? 0.63"}:I (Type an exact answer in simpliﬁed form.) b. If you have two such alarm clocks, what is the probability that they both fail
on the momng of an important ﬁnal exam? 0.461041‘ (Type an exact answer in simpliﬁed form.) c. With one alarm clock, you have a 0.321 probability of being awakened.
What is the probability ofbeing awakened if you use two alarm clocks? 0.538959‘ (Type an exact answer in simpliﬁed form.) (1. Does a second alarm clock result in greatly improved reliability? Somewhat, total malfunction would be unusual, but not impossible.
* Somewhat, total malfunction would still not be unusual.
No, the malfunction of both is equally or more likely as the malfunction of one. Yes, it is almost certain that at least one alarm clock will work. YOU ANSWERED: nothing
nothing
nothing
nothing Page 8 Student: Grady Simonton Instructor: Shawn Pan'ini Assignment: Chapter 4A
Submitted: 02.23:”10 2:51pm Colu'se: MathllQ: Elementaiy Statistics  Spring 3010  CRN: 49239  16 weeks Book: T1'iola: Elementaiy Statistics. lle 18. Describe what the notation P(BI A) represents.
Choose the correct answer below.
The probability of event B or event A occurring.
The probability of event B and event A occurring.
The probability of event A occurring, given that event B has already occurred. ‘1' . The probability of event B occurring, given that event A has already occurred. YOU ANSWERED: nothing 19_ Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A
pollster contacts 78 people in the 18  21 age bracket and ﬁnds that 59 of them respond and 19 refuse to
respond. When 258 people in the 22  29 age bracket are contacted. 225 respond and 33 refuse to respond.
Suppose that one of the 336 people is randomly selected. Find the probability of getting someone in the
18 — 21 age bracket or someone who responded. P(person is in the 18 — 21 age bracket or responded) = 0.9021
(Do not round until the ﬁnal answer. Then round to three decimal places as needed.) YOU ANSWERED: nothing Page 9 Student: Grady Sinlnnton Instructor: Shawn Pan'ini Assignment: Cllapter4A
Submitted: 03."'33."'10 3:51pm Cnin'se: 1\Iat11119: Elenlentaiy Statistics  Spring 3010  C‘RN: 49339  16 weeks Beck: Triola: Elenlentaiy Statistics. He 2()_ Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. How
many ways can the letters of NOITLS be arranged? Identify the correct unscrambling, then determine the
probability of getting that result by randomly selecting one arrangement of the given letters. How many ways can the letters of NOITLS be arranged? 720‘
What is the correct unscrambling of NOITLS? '1' TONSIL
STINOL
LOSTIN
TINSOL What is the probability ofcoming up with the correct unscrambling through random letter selection? ‘ l E (Type an integer or simpliﬁed fraction as needed.) YOU ANSWERED: nothing
nothing
nothing Page 10 ...
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 Spring '10
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