Questions on Algebra: Probability and statistics answered by real tutors!

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 1201688: probability of arriving in the hall when the laser is emitting blue. yellow and green light. Assuming that out of each minute blue is operating for 45 seconds, yellow for 10 and green for 5 seconds. State the probability of arriving in the hall when the laser is emitting the blue light? What are the odds of arriving when the light is green?
Click here to see answer by greenestamps(13198)

Question 1201686: Suppose license plates for cars are made up of 3 uppercase letters (A - Z)
and by 4 digits (0 - 9).How many license plates can there be using the system above if:there is at least 1 odd digit?
Click here to see answer by ikleyn(52778)

Question 1201689: 1. A student has a choice of 5 sandwiches and 6 juice. In how many ways can he choose 1 sandwich and 1 juice?
2. how many 3-digit numbers can be made with the digit 1,2,3,4,5,6,7 if repetition is allowed (A) and repetition is not allowed (B)?
Click here to see answer by ikleyn(52778)

Question 1201691: how many 3-digit numbers can be made with the digits 1,2,3,4,5,6,7 if repetition is allowed (A) and repetition is not allowed (B) ?
Click here to see answer by ikleyn(52778)

Question 1201692: odds of having a birthday on a Friday
Click here to see answer by ikleyn(52778)

Question 1201694: If A and B are mutually exclusive evens and P(A)=0.9 and P(B)=0.1 Determine the probability of A or B occurring ( round to 4 decimal places)
Click here to see answer by ikleyn(52778)

Question 1201693: A box contains 320 ping pong balls. Some are orange and some have been marked with a marker. 242 ping pong balls are orange, 165 of which have been marked with a marker. How many ping pong balls are not orange? Show with a Venn diagram.
Click here to see answer by ikleyn(52778)

Question 1201637: In a survey, 11 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $43 and standard deviation of $15. Construct a confidence interval at a 95% confidence level.
Give your answers to one decimal place.

Click here to see answer by Theo(13342)

Question 1201598: n = 96, x = 79.7, 􏰀 = 6.0; 99% confidence
Click here to see answer by Theo(13342)

Question 1201698: An urn contains 8 orange balls and 4 green balls. If Vince chooses 5 balls at random from the urn, what is the probability that he will select 3 orange balls and 3 green balls? Round your answer to 3 decimal places.
Click here to see answer by greenestamps(13198)

Question 1201707: A stack of playing cards contains 4 jacks, 5 queens, 3 kings, and 3 aces. Two cards will be randomly selected from the stack. What is the probability that a queen is chosen and replaced, and then a queen is chosen again?
Click here to see answer by greenestamps(13198)

Question 1201706: A closet contains 5 short-sleeve shirts and 3 long-sleeve shirts. Two shirts are chosen from the closet without looking. What is the probability that both shirts have short sleeves?
Click here to see answer by greenestamps(13198)

Question 1201704: WidgCo is a company that manufactures widgets. It is known that 1 out of every 50 widgets that the company produces is defective. A batch of 150 widgets is produced.
Find the probability that more than 5 widgets in the batch are defective.
Round your answer to 4 decimal places.

Click here to see answer by ikleyn(52778)

Question 1201703: WidgCo is a company that manufactures widgets. It is known that 1 out of every 56 widgets that the company produces is defective. A batch of 150 widgets is produced.
Find the standard deviation of the number of defective widgets in the batch.
Round your answer to 4 decimal places.

Click here to see answer by ikleyn(52778)

Question 1201709: The sample mean (n = 175) for student housing is $616.91 and the sample standard deviation is $128.65. Construct a 95% confidence interval and evaluate for $650.
Click here to see answer by Theo(13342)

Question 1201710: (a) Find the probability of being dealt a "sevens over eights" full house (three sevens and two eights). (Round your answer to six decimal places.)

(b) Find the number of different types of full houses. (Ignoring suit.)
ways
(c) Find the probability of being dealt a full house. (Round your answer to six decimal places.)
Click here to see answer by math_tutor2020(3816)

Question 1201700: Here is a table showing all 52 cards in a standard deck.
Face cards
Color Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King
Red Hearts ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥
Red Diamonds♦ ♦ ♦ ♦ ♦ ♦ ♦ ♦ ♦ ♦ ♦ ♦ ♦
Black Spades ♠ ♠ ♠ ♠ ♠ ♠ ♠ ♠ ♠ ♠ ♠ ♠ ♠
Black Clubs ♣ ♣ ♣ ♣ ♣ ♣ ♣ ♣ ♣ ♣ ♣ ♣ ♣
Suppose a card is drawn at random from a standard deck. The card is then shuffled back into the deck. Then for a second time a card is drawn at random from the deck. The card is then shuffled back into the deck. Finally, for a third time a card is drawn at random from the deck.
What is the probability of first drawing a heart, then a diamond, and then a jack?
Do not round your intermediate computations. Round your final answer to four decimal places.
Click here to see answer by math_tutor2020(3816)

Question 1201699: During the busy season, it is important for the shipping manager at ShipMundo to be able to estimate the time it takes the loading crew to load a truck. The shipping manager has found that she can model the load times using a normal distribution with a mean of 155 minutes and a standard deviation of 10 minutes.
Use this table or the ALEKS calculator to find the percentage of load times between 133 minutes and 159 minutes according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).
Click here to see answer by math_tutor2020(3816)

Question 1201712: In a survey, 12 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $33 and standard deviation of $10. Construct a confidence interval at a 98% confidence level.
Give your answers to one decimal place.
Click here to see answer by ikleyn(52778)

Question 1201713: If n=31,
¯
x
(x-bar)=41, and s=18, construct a confidence interval at a 90% confidence level. Assume the data came from a normally distributed population.
Give your answers to one decimal place.
Click here to see answer by Theo(13342)

Question 1201733: a box is to be made of a piece of cardboard 16 x 10 inches by cutting equal squares our of the corners and turning up the sides.
Click here to see answer by mananth(16946)

Question 1201737: Suppose that 38% of all adults in a certain community are obese and that 37% suffer from diabetes. If 30% of the adults in this community are both obese and suffering from diabetes, what is the probability that a randomly chosen adult in this community is obese or suffers from diabetes (or both)?
Write your answer as a decimal (not as a percentage).

Click here to see answer by ikleyn(52778)

Question 1201749: According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 15 flights are randomly selected, and the number of on-time flights is recorded.
Note: Write your answer rounded to four decimal places.
(a) Find the probability that exactly 11 flights are on time.
0.1136
(b) Find the probability that fewer than 11 flights are on time.
(c) Find the probability that at least 11 flights are on time.
(d) Find the probability that between 9 and 11 flights, inclusive, are on time.
(e) Compute the mean and standard deviation of the random variable X, the number of on-time flights in 15 trials of the probability experiment.
Mean
, Standard deviation
.
Click here to see answer by ikleyn(52778)

Question 1201750: Find the following: (Round your answer to four decimal places)
(a) the area under the standard normal curve that lies between z=-0.55 and z=0.4 .

(b) Z0.10 .

Click here to see answer by ikleyn(52778)

Question 1201758: Two people are selected at random from a group of eight women and ten men. Find the probability of the following. (See Example 9. Round your answers to three decimal places.)
(a) both are men or both are women
(b) at least one is a woman
Click here to see answer by ikleyn(52778)

Question 1201763: In a survey sample of 83 respondents, about 30.1% of the sample work less than 40 hr per week. What is the estimated standard error of the proportion for this group?
Click here to see answer by math_tutor2020(3816)

Question 1201790: 14, 14, 14, 15, 16, 20, 26, 27, 27, 31, 33, 34, 35, 38, 38, 39, 41, 42, 46, 46, 47, 49, 52, 57, 63, 68, 70, 70, 71, 71, 71, 76, 76, 77, 78, 80, 80, 80, 83, 84, 86, 87, 88, 89, 90, 91, 94, 94, 94, 94
Find the percentile for 77? and find the percentile for 41?
Thanks
Click here to see answer by ikleyn(52778)

Question 1201801: Based on historical data, your manager believes that 28% of the company's orders come from first-time customers. A random sample of 151 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.22 and 0.43?
Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations.
Click here to see answer by math_tutor2020(3816)

Question 1201803: Evaluation:
the heights of 200 plants in a garden follow a normal distribution with a mean of 72.3 cm
with a SD of 8.9 cm.
1. about how many plants whose heights are between 82 and 90 cm?
Click here to see answer by ikleyn(52778)

Question 1201804: An oil drilling company is considering 2 sites for its well. The probabilities for getting a dry, a low-producing, or a high-producing well at site A are 0.6, 0.25, and 0.15, respectively. The costs for the 3 eventualities are −$300,000, $450,000, and $1,500,000.
For site B, the probability of finding a dry well, resulting in a $240,000 loss, is 0.2. The company estimates that the probability of a low-producing well is 0.8, and in that case it would make $60,000.
(Part 1:) Make a tree diagram for this situation and find the expected value for site A.
(Part 2:) Find the expected value for site B.

----
Thank you!
Click here to see answer by ikleyn(52778)

Question 1201800: A box of 30 flashbulbs contains 3 defective . A random sample of 2 is selected and tested. Let X be the random variable associated with the number of defective bulbs in the sample. (A) Find the probability distribution of X.
Click here to see answer by ikleyn(52778)

Question 1201802: A box of 30 flashbulbs contains 3 defective . A random sample of 2 is selected and tested. Let X be the random variable associated with the number of defective bulbs in the sample. (A) Find the probability distribution of X.
Click here to see answer by ikleyn(52778)

Question 1201826: A twelve-sided die has sides numbered 1 through 12. The die is rolled once. Find each probability.
P(odd or a multiple of 4)

Click here to see answer by Alan3354(69443)

Question 1201830: A student has to choose an elective class for the last semester of high school. Her counselor suggested 9 electives, 7 of which were technology classes.
If the student randomly chose to read about 6 of the electives, what is the probability that all of them are technology classes?
Click here to see answer by ikleyn(52778)

Question 1201831: Eleven points are equally spaced on a circle.
How many ways can 5 of these points be chose as the vertices of a pentagon?
Click here to see answer by greenestamps(13198)

Question 1201865: The following 7 × 22 grid is divided into squares that are 1 unit by 1 unit.
WebAssign PlotThe shortest possible path on this grid from A to B is 29 units long. One such path is shown in the figure. Let X be the set of all 29-unit-long paths from A to B.
Compute |X|, the number of 29-unit-long paths from A to B.
|X| =
Click here to see answer by mananth(16946)

Question 1201862: Two regular six-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the two dice is the following. (See the figure below for the sample space of this experiment. Enter the probability as a fraction.)
At most 5
Click here to see answer by mananth(16946)

Question 1201863: How many ways can two cars and four trucks be selected from five cars and seven trucks to be tested for a safety inspection?
Click here to see answer by math_tutor2020(3816)

Question 1201863: How many ways can two cars and four trucks be selected from five cars and seven trucks to be tested for a safety inspection?
Click here to see answer by ikleyn(52778)

Question 1201861: The mean of a random variable X is E(X) = a, and the variance is D(X) = b. Find the probability P(X^2 < c).
(a = -0.09, b = 1.22, c = 1.77)
Click here to see answer by ikleyn(52778)

Question 1201864: A certain board game uses tokens made of transparent colored plastic. Each token looks like
where each of the four different regions is a different color: either red, green, yellow, blue, or orange. How many different tokens of this type are possible? (Note: The white circle is a region.)

Click here to see answer by ikleyn(52778)

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, 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