Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 472373: x 1 2 3 4
P(x) 0.3 1/5 1/5 3/10
x 3 6 8
P(x) 0.2 3/5 3/10
x 20 30 40 50
P(x) 0.1 0.1 0.5 0.3
Determine whether each of the distributions given below represents a probability distribution. Justify your answer.
Click here to see answer by robertb(5830)   |
Question 472596: Sleep apnea is a condition involving irregular breathing during sleep. Suppose that about 20% of a random sample of n = 64 men experience sleep apnea. What is the standard error of the sample proportion?
a. 0.125
b. 0.05
c. 0.10
d. 0.20
Click here to see answer by robertb(5830) |
Question 472758: 8. One thousand raffle tickets are sold for $1.00 each. One grand prize of $200 and two consolation prizes of $50 each will be awarded. Jeremy purchases one ticket. Find his expected value. Show your work for full credit.
Click here to see answer by Theo(13342)  |
Question 472786: Help!!! I got the first part, but am having trouble with the rest.
Lauren attended her 10th high school reunion. Of the 74 people present, she observed that 37 were married and in their first marriage, 23 were married and in their second marriage, and 14 were currently single. (to three decimal places.)
(a) If one person is selected at random from the group, find the probability that it is a single person.
For a I got a correct answer of 0.189, but I can't figure out how to get the rest :(
(b) If two people are selected at random, find the probability that both are in their second marriage.
(c) If three people are selected at random, find the probability that two are in their first marriage and one is single.
Click here to see answer by stanbon(75887) |
Question 472801: Help please!
For Faculty Appreciation Day, the Faculty Club Lunch Room asked each faculty member to leave a business card in a container. At the end of lunch a card would be drawn, and that faculty member would be given free lunches for a week. Eighty-eight faculty left a card, including 5 mathematics faculty, 11 history faculty, and 2 chemistry faculty. Find the probability of the following. (to three decimal places.)
(a) The card drawn was for a mathematics faculty member.
(b) The card drawn was for a chemistry faculty member.
(c) The card drawn was for a history faculty member.
(d) The card drawn was for a mathematics or chemistry faculty member.
Click here to see answer by sudhanshu_kmr(1152)  |
Question 472828: Assume that an event A contains 10 observations and event B contains 15 observations. If the intersection of events A and B contains exactly 3 observations, how many observations are in the union of these two events? A. 0 B. 10 C. 22 D. 28
Click here to see answer by sudhanshu_kmr(1152) |
Question 472828: Assume that an event A contains 10 observations and event B contains 15 observations. If the intersection of events A and B contains exactly 3 observations, how many observations are in the union of these two events? A. 0 B. 10 C. 22 D. 28
Click here to see answer by ewatrrr(24785)  |
Question 472827: A credit card company decides to study the frequency with which its cardholders charge for items from a certain chain of retail stores. The data values collected in the study appear to be normally distributed with a mean of 25 charged purchases and a standard deviation of 2 charged purchases. Out of the total number of cardholders, about how many would you expect are charging 17 or more purchases in this study? A. 94.8% B. 68.3% C. 47.8% D. 15.9%
Click here to see answer by stanbon(75887) |
Question 472848: A 2 sided coin is unfairly weighted so when its tossed, the probability that heads will result is twice the probability that tails will result. If the coin is tossed 3x, what is the probability that tails will result exactly 2 times?
Click here to see answer by stanbon(75887) |
Question 472898: Suppose a company that makes radios is interested in quality control of their factory. As a batch of product goes by on the assembly line, they randomly select two radios from each batch to inspect for defects. Now suppose for a particular batch tested there are 3 defective radios and 15 good radios. What is the probability that at least one of the radios selected for testing will be defective?
Click here to see answer by stanbon(75887) |
Question 472908: round carpet in the center of a room has a diameter of 32 cm. The room is 300 cm × 500 cm. The probability of dust landing in the room, but not on the carpet, is 99.5% i would say this statement is true do you agree?
Click here to see answer by Theo(13342) |
Question 472906: An apple with a diameter of 6.3” (assume the shape of a sphere) has a “bruise” with an area of 1 square inch. What is the probability of biting into the bruise? (Area of a sphere = 4)
when i do this i don't get any of these choices.
choices:
2.5% 0.75% 1.5% 0.20%
Click here to see answer by Alan3354(69443)  |
Question 472906: An apple with a diameter of 6.3” (assume the shape of a sphere) has a “bruise” with an area of 1 square inch. What is the probability of biting into the bruise? (Area of a sphere = 4)
when i do this i don't get any of these choices.
choices:
2.5% 0.75% 1.5% 0.20%
Click here to see answer by Theo(13342) |
Question 472909: A plate, a dish and a cup are on a table. The plate is square with a side 30 cm long. The dish is 20 cm in diameter, and the cup has a 15 cm diameter. What is the probability of tossing a grape into the cup and not onto the plate or the dish?
13.4 14.6 15.6 12.7
i am doing something wrong because i dont come up with one of the choices.
Click here to see answer by stanbon(75887) |
Question 472909: A plate, a dish and a cup are on a table. The plate is square with a side 30 cm long. The dish is 20 cm in diameter, and the cup has a 15 cm diameter. What is the probability of tossing a grape into the cup and not onto the plate or the dish?
13.4 14.6 15.6 12.7
i am doing something wrong because i dont come up with one of the choices.
Click here to see answer by solver91311(24713)  |
Question 472887: Statistics
Instruction: Apply the five steps of hypothesis-testing procedure to each problem below.
1. A researcher conducted an experiment to determine the effect of a lecturer’s age on student preferences to hear him lecture. In a regular classroom situation, 20 students were told that the administration wished to know their preferences regarding a forthcoming visiting lecturer series. In particular, they were asked to evaluate a professor who “might be visiting the campus.” The professor was described to all students in the same way with one exception: One-half of the students were told the professor was 65 years old: One-half were told the professor was 25 years old. All students were then asked to indicate their willingness to attend the professor’s lecture (higher scores indicates greater willingness). The following results were obtained:
X1 X2
(Scores of the Students (Scores of Students
Told Professor Was 25 years old) Told Professor Was 65 years old)
65 78
38 42
52 77
71 50
69 65
72 70
55 55
78 51
56 33
80 59
2. A researcher conducted an experiment to determine the effect of a lecturer’s age on student preferences to hear her lecture. In a regular classroom situation, 30 students were told that the administration wished to know their preferences regarding a forthcoming visiting lecturer series. In particular, they were asked to evaluate a professor who “might be visiting the campus”. The professor was described to all students in the same way with one exception: One-third of the students were told that the professor was 75 years old; one-third were told the professor was 50 years old; and one-third were told the professor was 25 years old. All students were then asked to indicate their willingness to attend the professor’s lecture (higher scores indicate greater willingness). The following results were obtained:
X1 X2 X3
(Scores of Students (Scores of Students (Scores of Students
Told Professor Was Told Professor Was Told Professor Was
25 Years Old) 50 Years Old) 75 Years Old)
65 63 67
38 42 42
52 60 77
71 55 32
69 43 52
72 36 34
55 69 45
78 57 38
56 67 39
80 79 46
3. To investigate the relationship between spelling and reading ability, a researcher gave spelling and reading examinations to a group of students who had been selected at random from large population of undergraduates. The following results were obtained (higher scores indicate greater ability):
Student (Spelling Score) (Reading Ability)
A 52 56
B 90 81
C 63 75
D 81 72
E 93 50
F 51 45
G 48 39
H 99 87
I 85 59
J 57 56
K 60 69
L 77 78
M 96 69
N 62 75
O 28 35
P 43 47
Q 88 73
R 72 76
S 75 63
T 69 79
4. A researcher conducted an experiment to determine the relationship between a lecturer’s age on student’s willingness to hear him lecture. In a regular classroom situation, 130 students were told that the administration wished to know their preferences regarding a forthcoming visiting lecturer series. In particular, they were asked to evaluate a professor who “might be visiting the campus”. The professor was described to all students in the same way with one exception: One-half of the students were told the professor was 65 years old; one-half were told the professor was 25 years old. All students were then asked to indicate their willingness to attend the professor’s lecture with the following results: Among those students told that the professor was 65, 22 expressed their willingness to attend his lecture and 43 expressed their unwillingness. Among the students told that the professor was 25, 38 expressed their willingness to attend his lecture and 27 expressed their unwillingness.
Click here to see answer by solver91311(24713) |
Question 472886: Statistics
1. A researcher conducted an experiment to determine the effect of a lecturer’s age on student preferences to hear him lecture. In a regular classroom situation, 20 students were told that the administration wished to know their preferences regarding a forthcoming visiting lecturer series. In particular, they were asked to evaluate a professor who “might be visiting the campus.” The professor was described to all students in the same way with one exception: One-half of the students were told the professor was 65 years old: One-half were told the professor was 25 years old. All students were then asked to indicate their willingness to attend the professor’s lecture (higher scores indicates greater willingness). The following results were obtained:
X1 X2
(Scores of the Students (Scores of Students
Told Professor Was 25 years old) Told Professor Was 65 years old)
65 78
38 42
52 77
71 50
69 65
72 70
55 55
78 51
56 33
80 59
2. A researcher conducted an experiment to determine the effect of a lecturer’s age on student preferences to hear her lecture. In a regular classroom situation, 30 students were told that the administration wished to know their preferences regarding a forthcoming visiting lecturer series. In particular, they were asked to evaluate a professor who “might be visiting the campus”. The professor was described to all students in the same way with one exception: One-third of the students were told that the professor was 75 years old; one-third were told the professor was 50 years old; and one-third were told the professor was 25 years old. All students were then asked to indicate their willingness to attend the professor’s lecture (higher scores indicate greater willingness). The following results were obtained:
X1 X2 X3
(Scores of Students (Scores of Students (Scores of Students
Told Professor Was Told Professor Was Told Professor Was
25 Years Old) 50 Years Old) 75 Years Old)
65 63 67
38 42 42
52 60 77
71 55 32
69 43 52
72 36 34
55 69 45
78 57 38
56 67 39
80 79 46
3. To investigate the relationship between spelling and reading ability, a researcher gave spelling and reading examinations to a group of students who had been selected at random from large population of undergraduates. The following results were obtained (higher scores indicate greater ability):
Student (Spelling Score) (Reading Ability)
A 52 56
B 90 81
C 63 75
D 81 72
E 93 50
F 51 45
G 48 39
H 99 87
I 85 59
J 57 56
K 60 69
L 77 78
M 96 69
N 62 75
O 28 35
P 43 47
Q 88 73
R 72 76
S 75 63
T 69 79
4. A researcher conducted an experiment to determine the relationship between a lecturer’s age on student’s willingness to hear him lecture. In a regular classroom situation, 130 students were told that the administration wished to know their preferences regarding a forthcoming visiting lecturer series. In particular, they were asked to evaluate a professor who “might be visiting the campus”. The professor was described to all students in the same way with one exception: One-half of the students were told the professor was 65 years old; one-half were told the professor was 25 years old. All students were then asked to indicate their willingness to attend the professor’s lecture with the following results: Among those students told that the professor was 65, 22 expressed their willingness to attend his lecture and 43 expressed their unwillingness. Among the students told that the professor was 25, 38 expressed their willingness to attend his lecture and 27 expressed their unwillingness.
Click here to see answer by solver91311(24713) |
Question 472922: 1) A recent study of 750 internet users in Europe found that 260 of internet users were women. What is the 95% confidence interval of the true proportion of women in Europe who use the internet?
2) A survey of 800 women shoppers found that 17% of them shop on impulse. What is the 98& confidence interval for the true proportion of women shhoppers who shop on impulse?
Click here to see answer by stanbon(75887) |
Question 472922: 1) A recent study of 750 internet users in Europe found that 260 of internet users were women. What is the 95% confidence interval of the true proportion of women in Europe who use the internet?
2) A survey of 800 women shoppers found that 17% of them shop on impulse. What is the 98& confidence interval for the true proportion of women shhoppers who shop on impulse?
Click here to see answer by edjones(8007)  |
Question 472911: 3% of the time a baseball player gets a double. 13% of the time a baseball player gets a single. 6% of the time a baseball player gets a home run, and 20% of the time the baseball player strikes out. If the baseball player's batting average is 30%, what is the probability that the baseball player will get a hit or will strike out
10% 75% 20% 50% help
Click here to see answer by edjones(8007) |
Question 472893: Suppose a company that makes radios is interested in quality control of their factory. As a batch of product goes by on the assembly line, they randomly select two radios from each batch to inspect for defects. Now suppose for a particular batch tested there are 3 defective radios and 15 good radios. What is the probability that at least one of the radios selected for testing will be defective?
Click here to see answer by edjones(8007) |
Question 472899: Suppose you are testing 10 items that you manuafactured to see if there are any defected items. If the probability of an item being defective is .01, what is the probability that 2 out of the 10 are defective?
Click here to see answer by edjones(8007) |
Question 472799: Help!
A French professor gives Sections 1 and 2 of a French course the same passage to translate. Section 1 has 24 students, and 7 translate the passage correctly. Section 2 has 21 students, and 8 translate the passage correctly. (to three decimal places.
(a) If one of the papers is selected at random, what is the probability that it is a correct translation?
(b) One of the papers is selected and is known to be from Section 1. What is the probability that it is a correct translation?
(c) A paper is selected and is known to be a correct translation. What is the probability that it is from Section 2?
Click here to see answer by scott8148(6628)  |
Question 472858: 32. Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $110,000. This distribution follows the normal distribution with a standard deviation of $40,000.
a. If we select a random sample of 50 households, what is the standard error of the mean?
b. What is the expected shape of the distribution of the sample mean?
c. What is the likelihood of selecting a sample with a mean of at least $112,000?
d. What is the likelihood of selecting a sample with a mean of more than $100,000?
e. Find the likelihood of selecting a sample with a mean of more than $100,000 but less than $112,000.
Click here to see answer by edjones(8007) |
Question 472994: I seem to be having trouble with this problem. Could someone please show me where I went wrong in doing it. I thought that I had it right.. HELP!!!
a traffic light is red for 25 sec, yellow for 5 sec, and green for 55 sec. What is the probability that when you reach the light,
44. the light is yellow.
Solution:
25 + 5 + 55 = 85 sec
25 + 55 = 80 sec
80/85 = 8/17
Answer : 8/17
Click here to see answer by jim_thompson5910(35256) |
Question 473088: A person draws three balls in succession from a box containing four red balls, two white balls, and seven blue balls. Find the probability that the balls drawn are red, white, and blue, in that order. round to three decimal points
Click here to see answer by stanbon(75887) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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