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Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 58914: Dear Dr. Professor,
I would really appreaciate if you can help me with the following problem I need to solve.
"The director of admissions at Kinzua University in Nova Scotia estimated the distribution estimated the distribution of student admissions fot the fall semester on the basis of past experience. What is the expected number of admissions for the fall semester? Compute the variance and the standard variation of the number of admissions."
Data
Admissions- probability
1,000- .6
1,200- .3
1,500- .1
Please can you help me?
Kind regards,
Claudia Cardenas
Click here to see answer by stanbon(26259)   |
Question 59039: A construction company has submitted bids on two separate state contracts, A and B. The company feels that it has a 60% chance of winning contract A, and a 50% chance of winning contract B. Furthermore, the company believes that it has an 80% chance of winning contract A given that it wins contract B.
a) What is the probability that the company will win both contracts?
b) What is the probability that the company will win at least one of the two contracts?
c) If the company wins contract B, what is the probability that it will not win contract A?
d) What is the probability that the company will win at most one of the two contracts?
e) What is the probability that the company will win neither contract?
Click here to see answer by stanbon(26259) |
Question 59051: please how can i wirte the problem in the e.mail when i copy the problem after i wrote it in world or by math equation the sympols don't appear please how can i write the question or can i sent it by attachment in anyways please i need help please please
Click here to see answer by stanbon(26259) |
Question 59057: please help me in this
two distinct integer are chosen at random and without replacment from the first six positive integers, compute the expected value of the absolute value of the difference of these two numbers.
Click here to see answer by stanbon(26259) |
Question 59058: please help me in this question
let the pdf f(x)=1/5 , x=1,2,3,4,5,zero elsewhere , is the plot of the discrete type of random variable X. compute E(X) and E(X^2) use these two results to find E[(x+2)^2)]
Click here to see answer by stanbon(26259) |
Question 59094: Dear Maths expert,
Please I need some help with the following mini-case:
Below are the results of a survey:
Major
Male - Female
Accounting 100 (M) - 100 (F)
Management 150 (M) - 50(F)
Finance 50 (M)- 50(F)
Total 300 (M)- 200(F)
A) What is the probability of selecting a female student?
B) What is the probability of selecting a finance or accounting major?
C) What is the probability of selecting an accounting major, given that the person selected is a male?
Thanks very much in advance.
Gerald
Click here to see answer by funmath(2873) |
Question 59164: In a sample of 300 undergraduates, 90 males and 65 females were in the College of Arts and Sciences, 45 males and 36 females were in the College of Business, and 30 males and 34 females were in the College of Education. If one student is randomly selected, find the probability that the student is
a) A female in the College of Business
b) A male in the College of Education
c) A female
d) A student in the College of A&S
e) A male in the College of Business
Click here to see answer by checkley71(8405) |
Question 59164: In a sample of 300 undergraduates, 90 males and 65 females were in the College of Arts and Sciences, 45 males and 36 females were in the College of Business, and 30 males and 34 females were in the College of Education. If one student is randomly selected, find the probability that the student is
a) A female in the College of Business
b) A male in the College of Education
c) A female
d) A student in the College of A&S
e) A male in the College of Business
Click here to see answer by stanbon(26259) |
Question 59173: Records at a particular bank show that if a customer at the bank is randomly selected, the probability that the customer has a savings account at the bank is 0.42, the probability that the customer has a checking account at the bank is 0.74, and the probability that the customer has both is 0.28. If a customer is randomly selected, find the probability that he/she has:
a) A checking account given that the customer has a savings account
b) A savings account given that the customer has a checking account
Click here to see answer by stanbon(26259) |
Question 59148This question is from textbook 
: the ratio of ninth graders to eighth graders in the class is 5 to 3. write these ratios as fractions.
A. ninth graders to eight graders
B. ninth graders to students in the class
C. eighth graders to students in the classThis question is from textbook
Click here to see answer by funmath(2873) |
Question 59210: abowl contain 10 chips, of which 8 are marked $ 2 each and 2 are marke $5 each, let aperson choose at random and without replcement , 3 chips from this bowl, if the person is to receive the sum of the resulting amount
find his expectation
Click here to see answer by stanbon(26259) |
Question 59209: pleae help me in this
let abowl contain 10 chips of he same size and shape , one and only one of these chips is red , continue to draw chips from the bowl , one at atime and at random without replacement , until red chip is drawn ,
1. find the pdf. Of X , the number of trials needed to draw the red chip
2. compute p(X< or equal 4 )
Click here to see answer by stanbon(26259) |
Question 59206: i need your help in this
a professor of statistics has two boxes of computer disks box c1 contains seven vebratim disks and 3 control data disks and box c2 contains 2 verbatim disks and 8 control data disks, she selects a box at random with probabilities p(c1)2/3 , and p(c2)=1/3 because their respective location, A disk is then selected at random and the event c occurs if it is from control data , using an equaly likely assumption for each disk in the selected box , compute p(c1|cc) abd p(c2|c)
Click here to see answer by stanbon(26259) |
Question 59205: please help me
in alot of 50 light bulbs there are 2 bad bulbs an inspector examine 5 bulbs which are selected at random and without replacement
1. find the probabability of at least 1 defective bulb amont the 5
2. how many bulbs should be examine so that the probability of
finding at least 1 bad bulb exceeds 0.5 ?
Click here to see answer by stanbon(26259) |
Question 59534This question is from textbook
: Sir, I seek your assistance in deciphering the following problems if I may. I am totally lost with so much information thrust upon me without a basic concept of the pricipals. I respectfully thank you for your assistance you may provide.
Sheridan
1. select the variable “selling price” and find the mean, median, and standard deviation.
2. write a brief summary of the distribution of selling prices. (I can do this but I don't know the variable)using the same variable
3. develop a box plot – estimate the 3rd and 4th quartiles and comment on any outliers
4. develop a scatter diagram with price on the vertical axis and size of the home on the horizontal axis. Comment on the relationship you see or don’t see between these two variables.
use the mean and standard deviation you computed in #1 above. Use the normal distribution to estimate the percent of homes selling for more than $280.00. Compare this to the actual results. Does the normal distribution yield a good approximation of the actual results? Show how you arrived at your answer.
develop an 95% confidence interval for the mean selling price of the homes. Interpret your interval.
your real estate salesperson claims that the average selling price of homes in this area is $225,000. What do think about this claim and why
Excel Info Provided:
Price Bedrooms Size Pool Distance Twnship Garage Baths
263.1 4 2300 0 17 5 1 2
182.4 4 2100 1 19 4 0 2
242.1 3 2300 1 12 3 0 2
213.6 2 2200 1 16 2 0 2.5
139.9 2 2100 1 28 1 0 1.5
245.4 2 2100 0 12 1 1 2
327.2 6 2500 1 15 3 1 2
271.8 2 2100 1 9 2 1 2.5
221.1 3 2300 0 18 1 0 1.5
266.6 4 2400 1 13 4 1 2
292.4 4 2100 1 14 3 1 2
209 2 1700 1 8 4 1 1.5
270.8 6 2500 1 7 4 1 2
246.1 4 2100 1 18 3 1 2
194.4 2 2300 1 11 3 0 2
281.3 3 2100 1 16 2 1 2
172.7 4 2200 0 16 3 0 2
207.5 5 2300 0 21 4 0 2.5
198.9 3 2200 0 10 4 1 2
209.3 6 1900 0 15 4 1 2
252.3 4 2600 1 8 4 1 2
192.9 4 1900 0 14 2 1 2.5
209.3 5 2100 1 20 5 0 1.5
345.3 8 2600 1 9 4 1 2
326.3 6 2100 1 11 5 1 3
173.1 2 2200 0 21 5 1 1.5
187 2 1900 1 26 4 0 2
257.2 2 2100 1 9 4 1 2
233 3 2200 1 14 3 1 1.5
180.4 2 2000 1 11 5 0 2
234 2 1700 1 19 3 1 2
207.1 2 2000 1 11 5 1 2
247.7 5 2400 1 16 2 1 2
166.2 3 2000 0 16 2 1 2
177.1 2 1900 1 10 5 1 2
182.7 4 2000 0 14 4 0 2.5
216 4 2300 1 19 2 0 2
312.1 6 2600 1 7 5 1 2.5
199.8 3 2100 1 19 3 1 2
273.2 5 2200 1 16 2 1 3
206 3 2100 0 9 3 0 1.5
232.2 3 1900 0 16 1 1 1.5
198.3 4 2100 0 19 1 1 1.5
205.1 3 2000 0 20 4 0 2
175.6 4 2300 0 24 4 1 2
307.8 3 2400 0 21 2 1 3
269.2 5 2200 1 8 5 1 3
224.8 3 2200 1 17 1 1 2.5
171.6 3 2000 0 16 4 0 2
216.8 3 2200 1 15 1 1 2
192.6 6 2200 0 14 1 0 2
236.4 5 2200 1 20 3 1 2
172.4 3 2200 1 23 3 0 2
251.4 3 1900 1 12 2 1 2
246 6 2300 1 7 3 1 3
147.4 6 1700 0 12 1 0 2
176 4 2200 1 15 1 1 2
228.4 3 2300 1 17 5 1 1.5
166.5 3 1600 0 19 3 0 2.5
189.4 4 2200 1 24 1 1 2
312.1 7 2400 1 13 3 1 3
289.8 6 2000 1 21 3 1 3
269.9 5 2200 0 11 4 1 2.5
154.3 2 2000 1 13 2 0 2
222.1 2 2100 1 9 5 1 2
209.7 5 2200 0 13 2 1 2
190.9 3 2200 0 18 3 1 2
254.3 4 2500 0 15 3 1 2
207.5 3 2100 0 10 2 0 2
209.7 4 2200 0 19 2 1 2
294 2 2100 1 13 2 1 2.5
176.3 2 2000 0 17 3 0 2
294.3 7 2400 1 8 4 1 2
224 3 1900 0 6 1 1 2
125 2 1900 1 18 4 0 1.5
236.8 4 2600 0 17 5 1 2
164.1 4 2300 1 19 4 0 2
217.8 3 2500 1 12 3 0 2
192.2 2 2400 1 16 2 0 2.5
125.9 2 2400 1 28 1 0 1.5
220.9 2 2300 0 12 1 1 2
294.5 6 2700 1 15 3 1 2
244.6 2 2300 1 9 2 1 2.5
199 3 2500 0 18 1 0 1.5
240 4 2600 1 13 4 1 2
263.2 4 2300 1 14 3 1 2
188.1 2 1900 1 8 4 1 1.5
243.7 6 2700 1 7 4 1 2
221.5 4 2300 1 18 3 1 2
175 2 2500 1 11 3 0 2
253.2 3 2300 1 16 2 1 2
155.4 4 2400 0 16 3 0 2
186.7 5 2500 0 21 4 0 2.5
179 3 2400 0 10 4 1 2
188.3 6 2100 0 15 4 1 2
227.1 4 2900 1 8 4 1 2
173.6 4 2100 0 14 2 1 2.5
188.3 5 2300 1 20 5 0 1.5
310.8 8 2900 1 9 4 1 2
293.7 6 2400 1 11 5 1 3
179 3 2400 1 8 4 1 2
188.3 6 2100 0 14 2 1 2.5
227.1 4 2900 1 20 5 0 1.5
173.6 4 2100 1 9 4 1 2
188.3 5 2300 1 11 5 1 3
This question is from textbook
Click here to see answer by stanbon(26259) |
Question 59559: Here is the problem and I honestly am not sure what to do. Is Sample size all voters in U.S or there is a computation to be done?
A New York Times article about Poll results states, "In theory, in 19 cases out of 20, the results from such a poll should differ by no more than one percentage point in either direction from what would have been obtained by interviewing all voters in the United States. Find the sample size suggested by this statement.
Click here to see answer by stanbon(26259) |
Question 59559: Here is the problem and I honestly am not sure what to do. Is Sample size all voters in U.S or there is a computation to be done?
A New York Times article about Poll results states, "In theory, in 19 cases out of 20, the results from such a poll should differ by no more than one percentage point in either direction from what would have been obtained by interviewing all voters in the United States. Find the sample size suggested by this statement.
Click here to see answer by Edwin McCravy(2920) |
Question 59558: Here is my problem. I attempte to solve it but I don't understand how to report the answer right.
Find the margin of error that correspond to the given values of n(times) and x( successes) and the degree of confidence:n=1400,x=420 and 95%.
So, za/2 * square root of (pq/n)
= 1.96 sqrt[(.3)(.7)/1400]
= 1.96 sqrt(0.012247
= .000294? How do I report answer to 3 decimal places of precision?
Click here to see answer by stanbon(26259) |
Question 59617This question is from textbook elementary statistics
: Multiple-choice questions each have five possible answers(a,b,c,d,e),one of which is correct. Assume that you guess the answers to 3 such problem:
a. Use the multiplication rule to find the probability that the first 2 guesses are wrong and the 3rd is correct.
b. Beginning with 2wrong and 1 correct,(WWC), make a complete list of all possibilities of 2 wrong and 1 correct, then find the probability for each.
c. Based on the preceding results, what is the probability of getting exactly one correct answer when 3 guesses are made?This question is from textbook elementary statistics
Click here to see answer by stanbon(26259) |
Question 59695: please help me
bowl 1 contain 6 red chips and 4 blue chips, five of these 10 chips are selected at random wihtout replacement and put in powl 2 , which was orginally empty, one chip is then drawn at random from bowl 2 ,relative to the hypotheses that this chip is blue , find the conditional prob that 2 red chips and 3 blue, find the conditional prob that 2 red chips and 3 blue chips are transferred from bowl 1 to bowl 2
Click here to see answer by stanbon(26259) |
Question 59693: please help me in this problem
for each of the following find constant c so that f(X) satisfies the condition of being apdf of one random variable x
1.f(X)=c(2/3)^x , x=1,2,3,...., zero elsewhere.
2.f(X)=cx, x=1,2,3,4,5,6 , zero elsewhere
Click here to see answer by stanbon(26259) |
Question 59788This question is from textbook
: If I can ask for your help on the following two questions.
1. You study the attrition of entering college freshmen (those students who enter college as freshmen but don't stay to graduate) You find the following relationships between attrition, aid, and distance of home from college. What is your interpretation? Consider all variables and relationships.
Aid Home Near Home Far
Receiving Aid Receiving Aid
Yes (%) No (%) Yes (%) No (%) Yes (%) No (%)
Drop Out 25 20 5 15 30 40
Stay 75 80 95 85 70 60
2. Assume you have collected data on sales associates of a large retail organization in a major metropolitan area. You analyze the data by type of work classification, education level, and whether the workers were raised in a rural or urban setting. The results are shown below. How would you interpret them?
Annual Retail Employee Turnover per 100 Employees
High Education Low Education
Salaried Hourly Wage Salaried Hourly Wage Salaried Hourly Wage
Rural 8 16 6 14 18 18
Urban 12 16 10 12 19 20
This question is from textbook
Click here to see answer by stanbon(26259) |
Question 60057: Please provide me with explanation so I could solve the rest of the problems on my own. Thank you very much.
The Marshall Bottling Co. distributes orange soda in bottles labeled 32 ounces. The Bureau of Weights and Measures randomly selects 50 of these bottles, measures their contents and obtains a sample mean of 31.80 oz with a standard deviation of 0.75 ounces (assume populaton values for mean and standard deviation). Using a 0.01 significance levell, test the Bureau's claim that the company is cheating costumers. Would you use z or t score? What is the critical value? Will you "reject" or "fail to reject"?
Click here to see answer by stanbon(26259) |
Question 60055: Please show me how to do this. The book I am using doesn't provide enough example for me to understand what I am looking for. Thank you very much.
In 1990, 5.8% of job applicants who were tested for drugs failed the test. At the 0.01 level, test the claim that the failure is now lower if a random sample of 1,520 current job applicants results in 58 failures. Does the result suggest that fewer job applicants now use drugs? Give the z score to 2 decimal places and corresponding value of p to 4 decimal places. Also, do you conclude that fewer use drugs?
Click here to see answer by stanbon(26259) |
Question 61251: Frequency Distribution:
Votes Number of Precincts
0-99 3
100-199 10
200-299 25
300-399 15
400-499 22
What is the probability that a randomly selected precinct will have had fewer than 100 votes? at least 300 votes? had at most 399 votes? and had no fewer than 100 votes? I tried to use the P=f/t and all my answers were the same. please help...thank you
Click here to see answer by funmath(2873) |
Question 61258: Frequency Table showing distribution of Exam scores
Exam scores # of students
90 & over 5
80-89 12
70-79 40
60-69 18
50-59 13
40-49 6
30-39 6
What is the probability that a student picked at random will have a scor of at least 90? a score less than 90? a score of at least 60? and a score of more than 39 and less than 60? Tried several different equations with this and it just looked crazy;P(<90)= .12 is this correct?
Click here to see answer by funmath(2873) |
Question 61249: A statistics student needs a grade of at least 70 to pass an examination. The exam consists of 10 true/false questions. If he guesses at each question, what is the probability he will pass? and if the test was changed to 10 multiple-choice questions having 5 possible answers to choose from and he is still guessing what is the probability he will pass?
Click here to see answer by funmath(2873) |
Question 61523: Please help. I am having a hard time figuring this out. The book is Statstics for Management & Economics Abbreviates 7th Edition.
The recent average starting salary for new college graduates in computer information systems is $47,500. Assume salaries are normally distributed with a standard deviation of $4,500.
a) What is the probability of a new graduate receiving a salary between $45,000 and $50,000?
b) What is the probability of a new graduate getting a starting salary in excess of $55,000?
c) What percent of starting salaries is no more than $42,250?
d) What is the cutoff for the bottom 5% of the salaries?
e) What is the cutoff for the top 3% of the salaries?
Click here to see answer by stanbon(26259) |
Question 61524: Good afternoon Sir, Madam,
Please can I get your help with the following problem?
Thanks very much,
Claudia Cardenas
The president of the American Insurance Institute wants to compare the yearly costs of auto insurance offered by two leading companies. He selects a sample of 15 families, some with only a single insured driver, others with several teenage drivers, and pays each family a stipend to contact the two companies and ask for a price quote. To make the data comparable, certain features, such as the amound deductible and limits of liability, are standardized. The sample information is reported below. At the 0.10 significance level, can we conclude that there is a difference in the amounts quoted?
Family Progressive GEICO
Becker $2,090 $1,610
Berry 1,683 1,247
Cobb 1,402 2,327
Debuck 1,830 1,367
DuBrul 930 1,461
Eckroate 697 1,789
German 1,741 1,621
Glasson 1,129 1,914
King 1,018 1,956
Kucic 1,881 1,772
Meredith 1,571 1,375
Obeid 874 1,527
Price 1,579 1,767
Phillips 1,577 1,636
Tresize 860 1,188
Click here to see answer by stanbon(26259) |
Question 61325This question is from textbook Elementary Statistics
: Please help me with this one. In previous test, baseballs were dropped 24ft. onto a concrete surface, and they bounced an average of 92.84 in. In a test of a sample of 40 new balls, the bounce heights had a mean of 92.67 in. and a standard deviation of 1.79 in(based on data from Brookhaven National Laboratory). Use a 0.05 significance level to determine whether there is sufficient evidence to support the claim that the new balls have bounce heights with a mean different from 92.84 in. Does it appear that the new baseball are different?
My solution:
t = 92.67-92.84/1.79/sq.root of 40 = -0.17/.2830238 = -.6006
I think claim is p not equal to .9284, so null hyphotesis is p = .9284
alternative hyphotesis p not equal to .9284
This is a two-tailed test and Critical value is +- 1.96
Where do I base my answer ? Do I need P value for this problem?
Thank you for all your help.
JoThis question is from textbook Elementary Statistics
Click here to see answer by stanbon(26259) |
Question 61321This question is from textbook Elementary Statistics
: Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high? This question is from textbook Elementary Statistics
Click here to see answer by stanbon(26259) |
Question 61640: Find the instantaneous rate of change for f(x) = x2 + 3x - 11 at x = 2.
A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) = 0.02x2 + 1589. Find the total change in cost for increasing production from x = 233 units to x = 338 units.
A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) = 0.06x2 + 1187. Find the average rate of change in cost for increasing production from x = 204 units to x = 329 units. (2 decimal places)
find the slope of the tangent line to f(x) = -4x2 when x = 200.
A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) = 0.02x2 + 1921. Find the rate at which costs are changing when production reaches x = 244 units. (2 decimal places)
find the slope of the tangent line to f(x) = 5 - 3x2 when x = 5.
Voter turnout in the preceding 10 years can be modeled by the function N(t) = 1336 + 8t - t2 where N is the number of voters and t is measured in years. According to this model, how many people voted in year 332 of this study?
find the slope of the tangent line to f(x) = 7 - 5x - 2x2 when x = 1.
Find the average rate of change for f(x) = 3x2 + 4x from x = 0 to x = 5.
Voter turnout in the preceding 10 years can be modeled by the function N(t) = 1344 + 10t - t2 where N is the number of voters and t is measured in years. What was the rate of change in the number of voters for year 336?
Find the average rate of change for f(x) = 2x - x3 from x = 2 to x = 5. (2 decimal places)
Click here to see answer by stanbon(26259) |
Question 61164: was reported in a medical journal that about 70% of the individuals needing a kidney transplant find a suitable donor when they turn to registries of unrelated donors. In a group of fifteen individuals needing a kidney transplant, find the probability that:
a) Less than ten will find a suitable donor among the registries of unrelated donors.
b) Exactly eight will find a suitable donor among the registries of unrelated donors.
c) At least fourteen will find a suitable donor among the registries of unrelated donors.
d) No more than five will find a suitable donor among the registries of unrelated donors.
e) Six or less will find a suitable donor among the registries of unrelated donors.
Click here to see answer by stanbon(26259) |
Question 61689: An advertising executive receives an average of 10 telephone calls each afternoon between 2 and 4 P.M. The calls occur randomly and independently of one another and follow a Poisson model.
a) Find the probability that the executive will receive 13 calls between 2 and 4 P.M. on a particular afternoon.
b) Find the probability that the executive will receive seven calls between 2 and 3 P.M. on a particular afternoon.
c) Find the probability that the executive will receive at least five calls between 2 and 4 P.M. on a particular afternoon.
d) Find the probability that the executive will receive three or less calls between 2 and 3 P.M. on a particular afternoon.
e) Find the probability that the executive will receive eight or more calls between 2 and 4 P.M. on a particular afternoon.
Click here to see answer by stanbon(26259) |
Question 61688: Historical data collected at American Nationwide Mortgage revealed that 80% of all customers applying for a loan are accepted. Suppose that 50 new loan applications are selected at random.
a) What is the probability that at least 42 loan applications will be accepted?
b) What is the probability that more than 40 loan applications will be accepted?
c) What is the probability that less than 25 loan applications will be accepted?
d) What is the probability that less than 5 loan applications will be rejected?
e) What is the probability that more than 30 loan applications will be accepted?
Click here to see answer by stanbon(26259) |
Question 61773: Evaluate:
7
(8x2 + 8x - 18) dx
-4
(2 decimal places)
Evaluate:
8
(9x2 - 4x - 31) dx
1
(2 decimal places)
The marginal cost function for producing x units of a certain product is given by:
C'(x) = 2 + 0.08x
Find the total cost incurred by increasing the production level from 900 to 500 units. (2 decimal places)
Find the average value of the function
f(x) = 4x3 - 6x over the interval [-4,9].
Evaluate:
7
(7x - 5)4 dx
-3
(2 decimal places)
Click here to see answer by stanbon(26259) |
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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
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