Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1118548: Two cards are drawn in succession without replacement from a standard deck of 52 cards. What is the probability that the first card is a face card (jack, queen, or king) given that the second card is an eight? (Round your answer to three decimal places.)
Click here to see answer by rothauserc(4718)  |
Question 1118548: Two cards are drawn in succession without replacement from a standard deck of 52 cards. What is the probability that the first card is a face card (jack, queen, or king) given that the second card is an eight? (Round your answer to three decimal places.)
Click here to see answer by greenestamps(13195)  |
Question 1118548: Two cards are drawn in succession without replacement from a standard deck of 52 cards. What is the probability that the first card is a face card (jack, queen, or king) given that the second card is an eight? (Round your answer to three decimal places.)
Click here to see answer by ikleyn(52752)  |
Question 1118548: Two cards are drawn in succession without replacement from a standard deck of 52 cards. What is the probability that the first card is a face card (jack, queen, or king) given that the second card is an eight? (Round your answer to three decimal places.)
Click here to see answer by Alan3354(69443)  |
Question 1118595: Of 350 male and 280 female employees at the home office of Gibraltar Insurance Company, 170 of the men and 190 of the women are on flex-time (flexible working hours). Given that an employee selected at random from this group is on flex-time, what is the probability that the employee is a man? (Round your answer to three decimal places.)
Click here to see answer by ikleyn(52752)  |
Question 1118592: Jacobs & Johnson, an accounting firm, employs 15 accountants, of whom 9 are CPAs. If a delegation of 3 accountants is randomly selected from the firm to attend a conference, what is the probability that 3 CPAs will be selected? (Round your answer to three decimal places.)
Click here to see answer by ikleyn(52752)  |
Question 1118604: Assume that the weights of ripe watermelons grown at a particular farm are normally distributed with a mean of 50 pounds and a standard deviation of 2.4 pounds. Determine the percent of watermelons that weigh between 45.45 pounds and 51.19 pounds.
Click here to see answer by ikleyn(52752)  |
Question 1118582: The Department of Foreign Languages of a liberal arts college conducted a survey of its recent graduates to determine the foreign language courses they had taken while undergraduates at the college. Of the 530 graduates
208 had at least one year of Spanish.
174 had at least one year of French.
144 had at least one year of German.
40 had at least one year of Spanish and French.
29 had at least one year of Spanish and German.
23 had at least one year of French and German.
5 had at least one year of all three languages.
(a) How many of the graduates had at least 1 yr of at least one of the three languages?
(b) How many of the graduates had at least 1 yr of exactly one of the three languages?
c) How many of the graduates had less than 1 yr of any of the three languages?
Click here to see answer by ikleyn(52752)  |
Question 1118613: Determine the value of z so that the area under the standard normal curve
(a) in the right tail is 0.0305. Round the answer to two decimal places.
z =
(b) in the left tail is 0.0410. Round the answer to two decimal places.
z =
Click here to see answer by Theo(13342)  |
Question 1118605: The warranty on a car battery is 30 months. If the breakdown times of this battery are normally distributed with a mean of 48 months and a standard deviation of 8 months, determine the percent of batteries that can be expected to require repair or replacement under warranty.
Click here to see answer by Theo(13342)  |
Question 1118623: 2. An experiment consist of rolling a pair of dice. Event E1 is the event that 7 occurs, I.e., the sum on the dice is 7. Event E2 is the event that an odd number occurs on die 1. Find
a. Pr {E1}
b. Pr{E2}
c. Pr{E1∩E2}
d. Pr{E1UE2}
Click here to see answer by math_helper(2461)  |
Question 1118594: A fair die is rolled three times. What is the probability that it shows an even number in the first toss, an even number in the second toss, and a 2 on the third toss? (Assume that the outcomes of the tosses are independent. Round your answer to four decimal places.)
Click here to see answer by math_helper(2461)  |
Question 1118590: Let S = {a, e, j, n, t, x} be a sample space of an experiment and let F = {a, n, x} and G = {e, j, t} be events of this experiment. (Enter ∅ for the empty set.)
Find the events F ∪ G and F ∩ G.
F ∪ G
=
F ∩ G
=
Click here to see answer by Fombitz(32388)  |
Question 1118622: 1. In large department store there are 500 employees. 350 are famel and 200 them are under the age of 25. There are 75 males under 25 if an employee’s selected for promotion find the probability that the employees. find A, under 25 a of female B, over 24 or female C, male over 24
Click here to see answer by solver91311(24713)  |
Question 1118660: Suppose you just received a shipment of eight televisions. Two of the televisions are defective. If two televisions are randomly selected, compute the probability that both televisions work. What is the probability at least one of the two televisions does not work?
Click here to see answer by stanbon(75887) |
Question 1118681: Find the probability and interpret the results. If convenient, use technology to find the probability.
The population mean annual salary for environmental compliance specialists is about $62 comma 000
.
A random sample of 34
specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $59 comma 500
?
Assume sigma
equals$6,200
.
The probability that the mean salary of the sample is less than $59, 500
Click here to see answer by stanbon(75887) |
Question 1118641: Assume that the mean hourly cost to operate a commercial airplane follows the normal distribution with a mean of $1900 per hour and a standard deviation of $250.
What is the maximum operating cost for the lowest 5% of the airplanes? (Round z-score computation to 2 decimal places and the final answer to 1 decimal place.)
Maximum operating cost $
Click here to see answer by Boreal(15235)  |
Question 1118602: The Crossett Trucking Company claims that the mean mass of its delivery trucks when they are fully loaded is 2500 kg and the standard deviation is 60 kg. Assume that the population follows the normal distribution. Forty trucks are randomly selected and their masses measured. Within what limits will 99% of the sample means occur?
Click here to see answer by Boreal(15235)  |
Question 1118651: You are told that 9 out of 10 doctors recommend Ngaya's pill. Assuming this is true, suppose you choose a doctor at random. What is the probability that no more than two of these 4 doctor will recommend Ngaya's pill
Click here to see answer by stanbon(75887) |
Question 1118621: 1. In large department store there are 500 employees. 350 are famel and 200 them are under the age of 25. There are 75 males under 25 if an employee’s selected for promotion find the probability that the employees will be the following.
a. Under 25 or a female
b. Over 24 or female
c. Male over 24
Click here to see answer by Boreal(15235)  |
Question 1118547: Copykwik has four photocopy machines: A, B, C, and D. The probability that a given machine will break down on a particular day is given below.
P(A) =
1/48
P(B) =
1/55
P(C) =
1/75
P(D) =
1/31
Assuming independence, what is the probability on a particular day that the following will occur?
(a) All four machines will break down (Round your answer to ten decimal places.)
Incorrect: Your answer is incorrect.
(b) None of the machines will break down (Round your answer to three decimal places.)
Click here to see answer by Boreal(15235)  |
Question 1118701: An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
EventA : The sum is greater than .
EventB : The sum is an even number.
Click here to see answer by stanbon(75887) |
Question 1118706: A box contains two blue, three red and five white balls of equal sizes. Two balls are picked at random, the first being replaced before the second is drawn. Find the probability of drawing
a.) a red or a blue ball first
b.) two red balls
c.) two blue balls
d.) two balls of the same colour.
Click here to see answer by Boreal(15235)  |
Question 1118589: pplicants who wish to be admitted to a certain professional school in a large university are required to take a screening test devised by an educational testing service. From past results, the testing service has established that 70% of all applicants are eligible for admission and that 91% of those who are eligible for admission pass the exam, whereas 14% of those who are ineligible for admission pass the exam. (Round your answers to three decimal places.)
(a) What is the probability that an applicant for admission passed the exam?
(b) What is the probability that an applicant for admission passed the exam but was actually ineligible?
Click here to see answer by Boreal(15235)  |
Question 1118588: A pharmacist wishes to select three brands of aspirin to sell in his store. He has five major brands to choose from: A, B, C, D and E. If he selects the three brands at random, what is the probability that he will select the following?
(a)
brand B
(b)
brands B and C
(c)
at least one of the two brands B and C
Click here to see answer by greenestamps(13195)  |
Question 1118583: In an election being held by the Associated Students Organization, there are eight candidates for president, three for vice-president, five for secretary, and six for treasurer. How many different possible outcomes are there for this election?
Click here to see answer by greenestamps(13195)  |
Question 1118652: A car firm has two cars, which it hires out day by day. The number of demand for a car on each day is distributed as poison variate with mean 1.5 .
1.calculate the proportion of days on which neither car is used
2. Calculate the proportion of days on which some demand will be refused
Click here to see answer by addingup(3677)  |
Question 1118562: Three players A, B, C play the following game. First, A picks a real number between 0 and 1 (both inclusive), then B picks a number in the same range (different from A’s choice) and finally C picks a number, also in the same range, (different from the two chosen numbers). We then pick a number in the range uniformly randomly. Whoever’s number is closest to this random number wins the game. Assume that A, B and C all play optimally and their sole goal is to maximise their chances of winning. Also assume that if one of them has several optimal choices, then that player will randomly pick one of the optimal choices.
Questions:
a) If A chooses 0, then what is the best choice for B?
b) What is the best choice for A?
c) What is the best choice for the first player when the game is played among four players?
Click here to see answer by ikleyn(52752)  |
Question 1118735: Suppose 40% of the restaurants in a certain part of a town are in violation of the health code. A health inspector randomly selects nine of the restaurants for inspection. (Round your answers to four decimal places.)
(a) What is the probability that none of the restaurants are in violation of the health code?
(b) What is the probability that one of the restaurants is in violation of the health code?
(c) What is the probability that at least two of the restaurants are in violation of the health code?
Click here to see answer by ikleyn(52752)  |
Question 1118585: #10 From a shipment of 65 transistors, 3 of which are defective, a sample of 4 transistors is selected at random.
(a) In how many different ways can the sample be selected?
ways
(b) How many samples contain exactly 3 defective transistors?
samples
(c) How many samples do not contain any defective transistors?
Click here to see answer by ikleyn(52752)  |
Question 1118546: In a home theater system, the probability that the video components need repair within 1 year is 0.03, the probability that the electronic components need repair within 1 year is 0.007, and the probability that the audio components need repair within 1 year is 0.004. Assuming that the events are independent, find the following probabilities. (Round your answers to four decimal places.)
(a) At least one of these components will need repair within 1 year
(b) Exactly one of these component will need repair within 1 year
Click here to see answer by ikleyn(52752)  |
Question 1118736: A new drug has been found to be effective in treating 75% of the people afflicted by a certain disease. If the drug is administered to 400 people who have this disease, what are the mean and the standard deviation of the number of people for whom the drug can be expected to be effective? (Round your standard deviation to two decimal places.)
mean people
standard deviation people
Click here to see answer by addingup(3677)  |
Question 1118749: Can you please help me by finding the answer, thank you
If the probability that a bowler will bowl a strike is 0.6, what is the probability that he will get exactly three strikes in six attempts? At least three strikes in six attempts? (Assume that the attempts to bowl a strike are independent of each other. Round your answers to three decimal places.)
exactly three strikes =
at least three strikes =
Click here to see answer by solver91311(24713)  |
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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, 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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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580, 41581..41625, 41626..41670, 41671..41715, 41716..41760, 41761..41805, 41806..41850, 41851..41895, 41896..41940, 41941..41985, 41986..42030, 42031..42075, 42076..42120, 42121..42165, 42166..42210, 42211..42255, 42256..42300, 42301..42345, 42346..42390, 42391..42435, 42436..42480, 42481..42525, 42526..42570, 42571..42615, 42616..42660, 42661..42705, 42706..42750, 42751..42795, 42796..42840, 42841..42885, 42886..42930, 42931..42975, 42976..43020, 43021..43065, 43066..43110, 43111..43155, 43156..43200, 43201..43245, 43246..43290, 43291..43335, 43336..43380, 43381..43425, 43426..43470, 43471..43515, 43516..43560, 43561..43605, 43606..43650, 43651..43695, 43696..43740, 43741..43785, 43786..43830, 43831..43875, 43876..43920, 43921..43965, 43966..44010, 44011..44055, 44056..44100, 44101..44145, 44146..44190, 44191..44235, 44236..44280, 44281..44325, 44326..44370, 44371..44415, 44416..44460, 44461..44505, 44506..44550, 44551..44595, 44596..44640, 44641..44685, 44686..44730, 44731..44775, 44776..44820, 44821..44865, 44866..44910, 44911..44955, 44956..45000, 45001..45045, 45046..45090, 45091..45135, 45136..45180, 45181..45225, 45226..45270, 45271..45315, 45316..45360, 45361..45405, 45406..45450, 45451..45495, 45496..45540, 45541..45585, 45586..45630, 45631..45675, 45676..45720, 45721..45765, 45766..45810, 45811..45855, 45856..45900, 45901..45945, 45946..45990, 45991..46035, 46036..46080, 46081..46125, 46126..46170, 46171..46215, 46216..46260, 46261..46305, 46306..46350, 46351..46395, 46396..46440, 46441..46485, 46486..46530, 46531..46575, 46576..46620, 46621..46665, 46666..46710, 46711..46755, 46756..46800, 46801..46845, 46846..46890, 46891..46935, 46936..46980, 46981..47025, 47026..47070, 47071..47115, 47116..47160, 47161..47205, 47206..47250, 47251..47295, 47296..47340, 47341..47385, 47386..47430, 47431..47475, 47476..47520, 47521..47565, 47566..47610, 47611..47655, 47656..47700, 47701..47745, 47746..47790, 47791..47835, 47836..47880, 47881..47925, 47926..47970, 47971..48015, 48016..48060, 48061..48105, 48106..48150, 48151..48195, 48196..48240, 48241..48285, 48286..48330, 48331..48375, 48376..48420, 48421..48465, 48466..48510, 48511..48555, 48556..48600, 48601..48645, 48646..48690, 48691..48735, 48736..48780, 48781..48825, 48826..48870, 48871..48915, 48916..48960, 48961..49005, 49006..49050, 49051..49095, 49096..49140, 49141..49185, 49186..49230, 49231..49275, 49276..49320, 49321..49365, 49366..49410, 49411..49455, 49456..49500, 49501..49545, 49546..49590, 49591..49635, 49636..49680, 49681..49725, 49726..49770, 49771..49815, 49816..49860, 49861..49905, 49906..49950, 49951..49995, 49996..50040, 50041..50085, 50086..50130, 50131..50175, 50176..50220, 50221..50265, 50266..50310, 50311..50355, 50356..50400, 50401..50445, 50446..50490, 50491..50535, 50536..50580, 50581..50625, 50626..50670, 50671..50715, 50716..50760, 50761..50805, 50806..50850, 50851..50895, 50896..50940, 50941..50985, 50986..51030, 51031..51075, 51076..51120, 51121..51165, 51166..51210, 51211..51255, 51256..51300, 51301..51345
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