Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1194500: 1. It is known that 20% of all persons given a certain "medication" get very drowsy within 2.5 minutes. Find the probabilities that among 15
persons given the medications:
a. at most two will get very drowsy within 2 minutes.
b. at least five will get very drowsy within 2 minutes.
Click here to see answer by Boreal(15235)   |
Question 1194500: 1. It is known that 20% of all persons given a certain "medication" get very drowsy within 2.5 minutes. Find the probabilities that among 15
persons given the medications:
a. at most two will get very drowsy within 2 minutes.
b. at least five will get very drowsy within 2 minutes.
Click here to see answer by ikleyn(52752)  |
Question 1194494: A group of 10 individuals contains 3 people with blood type 'O'. 4 with blood type 'A', and 3 with blood type 'B'. What is the probability that a random sample of 5 will contain one person with blood type '0', 2 with blood type 'A', and 2 with blood type 'B'?
Click here to see answer by Boreal(15235) |
Question 1194473: The average school lunch contains 550 calories. This variable is normally distributed. The standard deviation is 25 calories. If a sample of 50 school lunches is selected, find the probability that the mean amount of calories will be less than 560 calories.
Click here to see answer by Boreal(15235) |
Question 1194404: A survey of 130 pet owners yielded the following information: 47 own fish; 53 own a bird; 50 own a cat; 64 own a dog; 2 own all four; 11 own only fish; 14 own only a bird; 10 own fish and a bird; 21 own fish and a cat; 24 own a bird and a dog; 27 own a cat and a dog; 3 own fish, a bird, a cat, and no dog; 1 owns fish, a bird, a dog, and no cat; 9 own fish, a cat, a dog, and no bird; and 10 own a bird, a cat, a dog, and no fish. How many of the surveyed pet owners have no fish, no birds, no cats, and no dogs? (They own other types of pets.)
Click here to see answer by MathTherapy(10549)  |
Question 1194534: Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.)
đ = 28; đ = 4.2
P(x â„ 30) =
Click here to see answer by ikleyn(52752) |
Question 1194533: Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.)
đ = 6; đ = 2
P(5 †x †8)
Click here to see answer by ikleyn(52752) |
Question 1194542: Determine the type of sampling to the given scenario:
1.In Internal Revenue Service researcher investigates cheating on income tax reports by surveying all waiters and waitresses at 20 randomly selected restaurants. Which sampling type is this?
2.Motivated by a student who died from binge drinking, the College of Newport conducts a study of student drinking by randomly selecting 10 different classes and interviewing all of the students in each of thoseclasses. Which sampling type is this?
3.A market researcher has partitioned all California residents into categories of unemployed, employed full time, and employed part time. She is surveying 50 people from each category. Which sampling
type is ?
Click here to see answer by math_tutor2020(3816) |
Question 1194540: Natalie wants to find out the names of high school students' favorite movies. Which of the following would be the best population for Natalie to survey?
A. Adults that ages 35 to 45 years that have high-school-age children
B. Boys that go to the local mall on Saturday morning
C. Twelfth-grade students that will graduate from high school in one week
D. Girls and boys entering the cafeteria for lunch at a high school on Tuesday
Click here to see answer by math_tutor2020(3816) |
Question 1194545: 1.Researchers selects participants based on easy accessibility?
A.Convenience Sample B. Sample survey C. Stratified Random Sample D.Cluster Sample
2 Researchers chooses the sample from the entire population through randomization technique, such qs drawing names from a hat.
A. Voluntary Response Sample B. Convenience Sample C. Stratified Random Sample D. Simple Random Sample
3. The entire collection of items or subject that are focus of the study.
A. Population B. Sample c.Census D. Sample Size
Click here to see answer by math_tutor2020(3816) |
Question 1194546: Determine the type of sampling from the given situation.
1. The author of the statistical study was an observer at a police sobriety checkpoint at which every 5th driver was stopped and interviewed.
2. A researcher for Faithy Athletic equipment company is studying relationship between level of education and participation in any sport. She conducts a survey of 40 randomly selected golfers, 40 selected tennis players and 40 selected swimmers.
3. Indicate if it refers POPULATION or SAMPLE , the yearly expenditures produced by a factory in three weeks.
Click here to see answer by math_tutor2020(3816) |
Question 1194549: According to one survey in India, 75% of Instagram users love REELS. Suppose that 25 Instagram users (randomly selected) have been approached in the university located in vile parle. They have been asked about their status of like/ dislike the Instagram- REELS.
a) What is the probability that Exactly 15 of them would agree with the claim (or said they love Insta-REELS)?
b) What is the probability that Exactly 20 of them would agree with the claim (or said they love Insta-REELS)?
Click here to see answer by ikleyn(52752) |
Question 1194548: According to one survey in India, 75% of Instagram users love REELS. Suppose that 25 Instagram users (randomly selected) have been approached in the university located in vile parle. They have been asked about their status of like/ dislike the Instagram- REELS.
a) What is the probability that Exactly 15 of them would agree with the claim (or said they love Insta-REELS)?
b) What is the probability that Exactly 20 of them would agree with the claim (or said they love Insta-REELS)?
Click here to see answer by ikleyn(52752) |
Question 1194550: Bhartdarshanâ is an Internet-based travel agency wherein customers can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits?
b. What is the probability of getting fewer than 9,000 hits?
Click here to see answer by ikleyn(52752) |
Question 1194475: Rashmi Dhar, manufacturer, and seller of âKashmiri- kahwaâ through E-commers websites.
She wanted to know the effect of her spending in advertisement of âKahwaâ on the sales, along with the other factors; ânumber of sales representativesâ, âcustomer-satisfaction ratingsâ. For this research she has gathered the sales data in the following table, along with other necessary information.
Part 1) Define dependent and independent variables
Part 2) Write regression model equation only.
Part 3) Run regression analysis in EXCEL (copy all those tables from EXCEL and paste them in your document).
Part 4) Write the Interpretation of Regression statistics-table, ANOVA- table.
Write an interpretation (by referring P-value/ t-stat) on significant effect of independent variables on sales.
Region/
Districts
Sales of
Kahwa (in
INR)
Spending in
advertise (in INR)
number of sales
representatives
(person)
customer-satisfaction
ratings (1=highly
dissatisfied to 5 =
highly satisfied
Kupwara
553
5512
1
1
Badgam
56251
8337
1
1
Kargil
58739
8828
5
1
Punch
66984
9050
5
2
Rajouri
70676
10150
7
2
Kathua
73206
11236
8
2
Baramula
80571
12538
8
3
Bandipore
93168
13161
8
3
Srinagar
99432
13448
9
4
(10 Marks)
Click here to see answer by ikleyn(52752) |
Question 1194447: IN HOW MANY WAYS CAN 6 INDIVIDUALS BE SEATED IN A ROUND TABLE WITH
6 CHAIRS?
A.) SUPPOSE 2 PERSONS WANTED TO BE SEATED SIDE BY SIDE ,IN HOW MANY
WAYS CAN THEY DO IT?
B.) IN HOW MANY WAYS CAN THESE 6 INDIVIDUALS ARRANGE THEMSELVES IF
2 AMONG THEM REFUSE TO SIT TOGETHER?
Click here to see answer by Edwin McCravy(20054)  |
Question 1194560: According to one survey in India, 75% of Instagram users love REELS. Suppose that 25
Instagram users (randomly selected) have been approached in the university located in vile
parle. They have been asked about their status of like/ dislike the Instagram- REELS.
a) What is the probability that Exactly 15 of them would agree with the claim (or said they
love Insta-REELS)?
b) What is the probability that Exactly 20 of them would agree with the claim (or said they
love Insta-REELS)?
Click here to see answer by ikleyn(52752) |
Question 1194559: According to one survey in India, 75% of Instagram users love REELS. Suppose that 25
Instagram users (randomly selected) have been approached in the university located in vile
parle. They have been asked about their status of like/ dislike the Instagram- REELS.
a) What is the probability that Exactly 15 of them would agree with the claim (or said they
love Insta-REELS)?
b) What is the probability that Exactly 20 of them would agree with the claim (or said they
love Insta-REELS)?
3.b. âBhartdarshanâ is an Internet-based travel agency wherein customers can see videos of the
cities they plan to visit. The number of hits daily is a normally distributed random variable
with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits?
b. What is the probability of getting fewer than 9,000 hits?
Click here to see answer by ikleyn(52752) |
Question 1194553: Determine whether the parenthesis phrase if value is a PARAMETER or STATISTIC.
26.) In a national survey on about abuse, (10% of respondents aged 12 to 17) reported using illicitdrugs within the past moth.
27.) Ty Cobb is one of major league baseball's greatest hitters of all time, with a (career batting average o 0.366.)
28.) A study of 6076 adults in public rest rooms in Manila, Quezon City, Makati,Mandaluyong,found that (23% did not wash their hands before exiting.)
29.) Interview of 100 adults 18 years of age or older, conducted nationwide, found that (44% could state the minimum age) required required for the office of Philippine president.
30. (68% of students out of 1000) surveyed planned to go to college right after high school.
Click here to see answer by ikleyn(52752) |
Question 1194572: Question #9: Working Women and Computer Use
It is reported that 72% of working women use computers at work. Choose 5 working women at random. Find
a. The probability that at least 1 doesnât use a computer at work
Click here to see answer by ikleyn(52752) |
Question 1194396: For a certain type of fluorescent light in a large building, the cost per bulb of replacing bulbs all at once is much less than if they are replaced individually as they burn out. It is known that the lifetime of these bulbs is normally distributed, and that 60% last longer than 2500 hours, while 30% last longer than 3000 hours.
a)What are the approximate mean and standard deviation of the lifetimes of the bulbs?
b)If the light bulbs are completely replaced when more than 20% have burned out, what is the time between complete replacements?
Click here to see answer by Boreal(15235) |
Question 1194593: The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tested â, given that he or she the disease.
The individual actually had the disease
Question content area bottom
Part 1
The probability is approximately
ââ
0.875. â(Round to three decimal places asâ needed.)
Click here to see answer by ikleyn(52752) |
Question 1194591: You pick a card from a deck. If it is faced card, you will win 500.00, if you get an ace, you will win 1000.00, if the card is Red you get 100.00. For any other card, you will win nothing. Find the expected value that you can possibly win.
Click here to see answer by math_tutor2020(3816) |
Question 1194615: A population consist of five numbers 2,4,6 and 8 cobsider the samples of size 2 that can be drawn from the population.
Sample mean - 3, 4, 5, 6, 7
Frequency - 1, 1, 2, 1, 1
Probability P- 1/6, 1/6, 1/3, 1/6, 1/6
Click here to see answer by ikleyn(52752) |
Question 1194621: Thirty-five percent of US adults have little confidence in their cars. You randomly select ten US adults. Find the probability that the number of US adults who have little confidence in their cars is (1) exactly six and then find the probability that it is (2) more than 7.
Click here to see answer by math_tutor2020(3816) |
Question 1194677: EVALUATING R&D PROJECTS AT WESTCOM SYSTEMS PRODUCTS COMPANY
West-Com Systems Products Company develops computer systems and software products for commercial sale. Each year it considers and evaluates a number of different R&D projects to undertake. It develops a road map for each project, in the form of a standardized decision tree that identifies the different decision points in the R&D process from the initial decision to invest in a project's development through the actual commercialization of the final product.
The first decision point in the R&D process is whether to fund a proposed project for 1 year. If the decision is no, then there is no resulting cost; if the decision is yes, then the project proceeds at an incremental cost to the company. The company establishes specific short-term, early technical milestones for its projects after 1 year. If the early milestones are achieved, the project proceeds to the next phase of project development; if the milestones are not achieved, the project is abandoned. In its planning process the company develops probability estimates of achieving and not achieving the early milestones. If the early milestones are achieved, the project is funded for further development during an extended time frame specific to a project. At the end of this time frame, a project is evaluated according to a second set of (later) technical milestones. Again, the company attaches probability estimates for achieving and not achieving these later milestones. If the later milestones are not achieved, the project is abandoned.
If the later milestones are achieved, technical uncertainties and problems have been overcome, and the company next assesses the project's ability to meet its strategic business objectives. At this stage, the company wants to know if the eventual product coincides with the company's competencies and whether there appears to be an eventual, clear market for the product. It invests in a product "prelaunch" to ascertain the answers to these questions.
The outcomes of the prelaunch are that either there is a strategic fit or there is not, and the company assigns probability estimates to each of these two possible outcomes. If there is not a strategic fit at this point, the project is abandoned and the company loses its investment in the prelaunch process. If it is determined that there is a strategic fit, then three possible decisions result: (1) The company can invest in the product's launch, and a successful or unsuccessful outcome will result, each with an estimated probability of occurrence; (2) the company can delay the product's launch and at a later date decide whether to launch or abandon; and (3) if it launches later, the outcomes are success or failure, each with an estimated probability of occurrence. Also, if the product launch is delayed, there is always a likelihood that the technology will become obsolete or dated in the near future, which tends to reduce the expected return.
The following table provides the various costs, event probabilities, and investment outcomes for five projects the company is considering:
Project
Decision Outcomes/Event 1 2 3 4 5
Fund 1 year $200,000 $350,000 $170,000 $230,000 $400,000
P(Early milestones, Yes) .70 .67 .82 .60 .75
P(Early milestones, No) .30 .33 .18 .40 .25
Long-term Funding $650,000 780,000 450,000 300,000 450,000
P(Late milestones, Yes) .60 .56 .65 .70 .72
P(Late milestones, No) .40 .44 .35 .30 .28
Prelaunch Funding $300,000 450,000 400,000 500,000 270,000
P(Strategic fit, Yes) .80 .75 .83 .67 .65
P(Strategic fit, No) .20 .25 .17 .33 .35
Invest, Success $7,300,000 8,000,000 4,500,000 5,200,000 3,800,000
P(Invest, Success) .60 .65 .70 .75 .80
Invest, Failure $2,000,000 3,500,000 1,500,000 2,100,000 900,000
P(Invest, Failure) .40 .35 .30 .25 .20
Delay, Success $4,500,000 6,000,000 3,300,000 2,500,000 2,700,000
P(Delay, Success) .80 .70 .65 .80 .85
Delay, Failure $1,300,000 4,000,000 800,000 1,100,000 900,000
P(Delay, Failure) .20 .30 .35 .20 .15
Determine the expected value for each project and then rank the projects accordingly for the company to consider.
Click here to see answer by ikleyn(52752) |
|
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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