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

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 51698: The ticket sales for events held at the new civic center are believed to be normally distributed with a mean of 12,000 and a standard deviation of 1,000. a. What is the probability of selling more than 10,000 tickets? b. What is the probability of selling between 9,500 and 11,000 tickets? c. What is the probability of selling more than 13,500 tickets? Click here to see answer by stanbon(57347)

 Question 51705: Hi, I need help on the following stats problem... Thanks in advance. A computer store has 50 printers of which 40 are laser printers and 10 are ink jet printers. If a group of 10 printers is chosen at random from the store, find the mean and variance of the number of ink jet printers. Mean=2 Variance= 3 Did I do this correctly? Click here to see answer by stanbon(57347)

 Question 51697: Two percent of the parts produced by a machine are defective. Twenty parts are selected at random. Use the binomial probability tables to answer the following questions. a. What is the probability that exactly 3 parts will be defective? b. What is the probability that the number of defective parts will be more than 2 but fewer than 6? c. What is the probability that fewer than 4 parts will be defective? d. What is the expected number of defective parts? e. What is the variance for the number of defective parts? Click here to see answer by stanbon(57347)

 Question 53473: I really need your help with this problem. Probability of( an odd number or a vowel) The whole question is- A die and a spinner with 5 different colored pieces labeled A-E is spun. Find the probablity of... I don't even know where to start. Is there any way this can be answered tonight? Thanks. Click here to see answer by checkley71(8403)

 Question 53736: You buy 5 raffle tickets. What is the probabilty that you will win if 250 tickets were sold? And what are the odds? Click here to see answer by rchill(405)

 Question 53931: John selects 2 different numbers at random from the set {8,9,10} & adds them Jim takes 2 different numbers at random from the set {3,5,6} & multiples them. What is the probability that John's result is greatr than Jim's result? Click here to see answer by stanbon(57347)

 Question 54087: Hello all! Here is my question. In any distribution, the z score of the mean is equal to ________? My answer is: zero but I am not sure. Could somebody help? Thank you very much. Click here to see answer by stanbon(57347)

 Question 54274: 1. A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 100 seniors, 150 juniors, and 200 sophomores who applied. Each senior's name is placed in the lottery 3 times; each junior's name, 2 times; and each sophomore's name, 1 time. What is the probability that a senior's name will be chosen? What I did was added up all the seniors, juniors and sophomores that applied, being 450 in total. Then I did 100/450 = 2/9. I don't know if I'm doing it right. What I remember about probability is your total number is the denominator and whatever they're asking for is the numerator, right? Click here to see answer by stanbon(57347)

 Question 54280: In the figure above, the length of AB is 2x and the length of BC is 3x. If a point is chosen at random from AC, what is the probability that the point will lie on BC? Click here to see answer by stanbon(57347)

 Question 54351: In one roll of two number cubes, what is the probability that the sum of the faces is 11? Click here to see answer by funmath(2925)
 Question 54351: In one roll of two number cubes, what is the probability that the sum of the faces is 11? Click here to see answer by checkley71(8403)

 Question 54366: 3 students, with different names,lineup single file. What is the probability that they are in alphabetical order from front-to-back? Click here to see answer by stanbon(57347)

 Question 54455: Balls numbered from 1 to 52 are placed in a jar and mixed. If one is drawn at random, find the probability of each result. A. The number is less than 15. B. The number is greater than or equal to 20. C. The number is a 10 or a 20. D. The number is less than 11 or greater than 48. Click here to see answer by venugopalramana(3286)

 Question 54456: Your mother is taking you to the store; she gives you the following choices: You may go to either: Walmart, Target or Meijer. You may buy either a DVD or a CD. After we are finished we can go out to eat at either: Olive Garden, Pot Belly Sandwich Works, or Don Pablo's. Draw a tree diagram of all the possible outcomes. How many possible outcomes are there? Click here to see answer by stanbon(57347)

 Question 54190: I am trying to work out this problem. Please check my work.What rule should apply in this one? Thanks to all of you. Your state government decides to raise money by running a lottery where each tickets cost \$1.00 and you must choose four different whole numbers between 1-20. When 4 numbers between 1-20 are randomly selected, what is the probability of winning if you have one ticket and the winning numbers can be in any order? 4/20 * 4/4 = 16/80 = 1/5 or 0.2 Click here to see answer by stanbon(57347)

 Question 54260: Could someone please help me with this probability and statistics problem? Prove both algebraically and combinatorially (in terms of selections) that if n1 + n2 + n3 then (n choose n1) = (n choose n1) (n-n1 choose n2) It's hard to write out the form of (n choose n1) in plain text basically (n choose n1) equals to ( n ) (n1, n2, n3). Same for (n-n1) ( n2 ) Thank you so much in advance to anyone who can help on this problem. Click here to see answer by stanbon(57347)

 Question 55312: This is a Poisson probability distribution problem. I thought it was easy but I can't get the answer right. I hope you'll find time to help me. Thanks. A Statistics Professor finds that when she schedules an office hour for student help, an average of 2 students arrive. Find the the probability that in a randomly selected hour, the number of student arrival is 5. Give the answer as a decimal value with 4 places of precision and no leading 0. P(x) = 2/8 = 0.25 ( I used 8 as I thought it meant 8 office hours) P(x) = (0.25)^2 * 2.71828^-0.25/5! = 0.0625 * .779/120 = .0004057 (or should it be .4057) Again, thanks Click here to see answer by stanbon(57347)

 Question 55306: Hello! This is my problem and I tried to work it out. The Sandman construction Co. bids on a job to construct a building. If the bid is won, there is a 0.7 probability of making a \$175,000 profit and there is a probability of 0.3 that the contractor will break even. What is the Expected value? My solution: X * P 175,000 0.7 = \$122,500 -87,500 0.3 = -26,250 \$122,500 - 26,250 = \$ 96,250 Thanks for your time and effort. Click here to see answer by stanbon(57347)

 Question 55439: To whom may it concern, I have problem to do this question. The heights of three plants A, B and C in a garden are in the ratio of 2:3:5. Their mean height is 30 cm. (a) Find the height of plant B (b) If another plant D is added to the garden and the mean height of the four plants is now 33 cm, find the height of plant D. Please help. Thank you so much. CH Lam Click here to see answer by stanbon(57347)

 Question 55438: I have encountered a problem in the following question. Please help. Thank you very much. The following table shows the monthly wages of 27 employees in a certain factory in 1991. Wages (\$x) 670 760 850 960 1000 1200 No. of employees 4 9 8 3 2 1 Find the median monthly wages. CH Lam Click here to see answer by stanbon(57347)

 Question 55594: Hey, I'm having a ton of trouble with these four problems out of a huge packet, could someone please help me out? :] 1. what is the (a)variance, and the (b)standard deviation of the following scores : 51, 55, 61, 62, 68, 71, 71, 73, 81, 82, 87, 89, 92, 94, 95, 100 2. Suppose a contest offers \$1,000 to the person who can guess the winning four digit number. How many possibilities are there? 3. Suppose there are 10 items on a true-false quiz. The person taking the test does not read the questions; he just answers the questions randomly. What is the probability of his guessing all answers correctly? Click here to see answer by stanbon(57347)

 Question 57280: suppose you roll two dice. Find the probability of rolling a sum of 6 Click here to see answer by Scriptor(36)

 Question 57730: jason puts cards numbered from 0-30 in a bag. he draws one card and it is a 5.if jason does not replace the first card,what is the probability that the second card he chooses will be an odd number? Click here to see answer by funmath(2925)

 Question 57674: My question is: If a normal distribution of Empirical scores is converted to a distribution of z scores, a. the new mean will be zero b. the new std. deviation will be one c. Both A & B d. neither A & B I appreciate your time and effort. Joan Click here to see answer by stanbon(57347)

 Question 57670: Am I doing the right thing? Please help me with this one. Replacement times for Nissan Almera automobiles are normally distributed with a mean of 7.1 years and a standard deviation of 4.1 years. Find the probability that seven randomly selected Nissan Almera have a mean replacement greater than 7 years. Please explain... My solution: z= x-u/o = 7-7.1/1.4= .0003 Thanks! Click here to see answer by stanbon(57347)

 Question 57673: I been working out this problem but I'm not sure if my answer is right. Among U.S households, 24% have telephone answering machines, if a telemarketin campaign involves 2500 households, find the probability that more than 650 have answering machines. My solution: mean =2500 x .24 =600 std. d =sq.root of 2500 x.24 x.76 =sq.root of 450 = 21 650-600/21= 2.38 = .9813 ? Thanks a lot! Click here to see answer by stanbon(57347)

 Question 57672: Can anybody please answer this. Pls.explain. Thanks As the sample size increases and if the sample std. deviation remains the same, the standard error of the mean will ________? Click here to see answer by stanbon(57347)

 Question 58039: seniors performnd the same experiment on three groups of subjects and obtained mean scores of 84, 69, and 76. The groups consisted of 13, 31, and 27 subjects respectivly. What is the overall mean for all subjects to 2 decimal places? Click here to see answer by venugopalramana(3286)

 Question 58038: compute the arthmetic mean for the following data, to 2 decimal places of significance: 8,2.2,25,7,-9,10,2, and 5.9 Click here to see answer by stanbon(57347)
 Question 58038: compute the arthmetic mean for the following data, to 2 decimal places of significance: 8,2.2,25,7,-9,10,2, and 5.9 Click here to see answer by tutorcecilia(2152)

 Question 58084: A large set of sample scores yeilds a mean and a standard deviation of 75.00 and 5.00 respectivly. The distribution is roughly bell shaped. what percentage of the scores should fall between 70.00 and 80.00? Click here to see answer by stanbon(57347)

 Question 58334: Two dice are rolled. What are the number of ways an 8 can appear from the throw of the dice? Click here to see answer by Nate(3500)
 Question 58334: Two dice are rolled. What are the number of ways an 8 can appear from the throw of the dice? Click here to see answer by funmath(2925)

 Question 58276: I need help in this Q plz 10) The letters of word ALGEBRA a- How many diffrent ways the letters can be arranged in a row ? b- In how many ways of these arrangments the two A's are together? c- In how many ways of these arrangments the two A's are not together? Click here to see answer by josmiceli(9680)
 Question 58276: I need help in this Q plz 10) The letters of word ALGEBRA a- How many diffrent ways the letters can be arranged in a row ? b- In how many ways of these arrangments the two A's are together? c- In how many ways of these arrangments the two A's are not together? Click here to see answer by stanbon(57347)

 Question 58465: I seek your help and guidence with the following questions. Thank you very much for your help! 1. The mean starting salary for college graduates in the spring of 2004 was \$36,280. Assume that the distribution of starting salaries follows the normal distribution with a standard deviation of \$3,300. What percent of the graduates have starting salaries: 1. Between \$35,000 and \$40,000? 2. More than \$45,000? 3. Between \$40,000 and \$45,000? 2. The price of shares of Bank of Florida at the end of trading each day for the last year followed the normal distribution. Assume there were 240 trading days in the year. The mean price was \$42.00 per share and the standard deviation was \$2.25 per share. 1. What percent of the days was the price over \$45.00? How many days would you estimate? 2. What percent of the days was the price between \$38.00 and \$40.00? 3. What was the stock's price on the highest 15 percent of days? Click here to see answer by stanbon(57347)

 Question 58457: needing some help in this problem A group of 7 boys and 5 girls a- How many diffrent committees each consisting of 3 boys and 2 girls can be formed ? b- If Tom is the head of the committee how many different committees can be formed? Click here to see answer by stanbon(57347)

 Question 58462: I seek your help in the form of probability and statistics. Thank you for your help and instruction. 1. The Human Relations Department of Electronics, Inc., would like to include a dental plan as part of the benefits package. The question is: How much does a typical employee and his or her family spend per year on dental expenses? A sample of 45 employees reveals the mean amount spent last year was \$1,820, with a standard deviation of \$660. a. Construct a 95 percent confidence interval for the population mean. b. The information from part (a) was given to the president of Electronics, Inc. He indicated he could afford \$1,700 of dental expenses per employee. Is it possible that the population mean could be \$1,700? Justify your answer 2. The Warren County Telephone Company claims in its annual report that “the typical customer spends \$60 per month on local and long distance service.” A sample of 12 subscribers revealed the following amounts spent last month. \$64 \$66 \$64 \$66 \$59 \$62 \$67 \$61 \$64 \$58 \$54 \$66 1. What is the point estimate of the population mean? 2. Develop a 90 percent confidence interval for the population mean 3. Is the company's claim that the “typical customer” spends \$60 per month reasonable? 3. In a poll to estimate presidential popularity, each person in a random sample of 1,000 voters was asked to agree with one of the following statements: 1.The President is doing a good job. 2. The President is doing a poor job. 3. I have no opinion. Click here to see answer by stanbon(57347)

 Question 58759: Dear Sir,Madam, Please can you help me to solve following? The number of passengers on the Carnival Sensation during one-week cruises in the Caribbean follows the normal distribution. The mean number of passengers per cruise is 1,820 and the standard deviation is 120. a) what percent of the cruises will have between1,820 and 1,970 passengers? b) what percent of the cruises will have 1,970 passengers or more? c) what percent of the cruises will have 1,600 or fewer passengers? d) how many passengers are on the cruises with the fewet 25 percent of passengers? I would really appreciate your help as this is the only exercise I have been unable to answer. Thanks very much, Gerald Bremer Click here to see answer by stanbon(57347)

 Question 58832: 1. Fifteen accounting majors had an average grade of 90 on a finance exam. Seven marketing majors averaged 85, while ten finance majors averaged 93 on the same examine. What is the weighted mean for the 32 students taking the exam? 2. A distribution described as negatively skewed would have the following characteristics: a. The mode between the median and mean, observing from left to right. b. the mean between the median and mode, observing from left to right. c. The median between the mean snd the mode, observing from left to right d. The relative location of mean, median, and mode is impossible to determine without more information e. None of the above 3. Which of the following measures of dispersion are based on deviations from the mean. a. Variance b. Standart deviation c. All the above d. None of the above 4. What is the relationship between the variance and the standart deviation? a. Variance is the square root of the standard deviation b. Variance is the square of the standard deviation c. Variance is twice the the stardard deviation d. No constant relationship between the variance and the standard deviation Click here to see answer by stanbon(57347)

 Question 58836: I need your assistance again. This is a foreign language. When I see your answers it makes sence but when putting in word type problems I have difficulty setting up to find the solution. Thanks again for your help! 1. A sample of the monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical distribution. The sameple mean is \$150 and the standard deviation is \$20. Using the Empirical Rule, about 95 percent of the monthly food expenditures are between what two amounts. 2. A population consists of all the weights of all defensive tackles on Sociable University's football team. They are: Johnson, 204 pounds; Patrick, 215 pounds; Junior, 207 pounds; Kendron, 212 pound; Nicko, 214 pounds; and Cochran, 208 pounds. What is the population standard deviation in pounds? 3. The weights (in grams) of the contents of several small bottles are 4,2,5,4,5,2 and 6. What is the sample varience? 4. Which measures of central tendency are not affected by extremely low or extremely high values a. Mean and median b. Mean and mode c. Mode and median d. Geometric mean and mean Click here to see answer by stanbon(57347)

 Question 58877: I ask for your help with the problems listed that I have for homework that I do not understand. Thank you. 6. A student is taking two courses, history and math. The probability the student will pass the history course is .60, and the probability of passing the math course is .70. The probability of passing both is .50. What is the probability of passing at least one? Ch. 2 A recent study of home technologies reported the number of hours of personal computer usage per week for a sample of 60 persons. Excluded from the study were people who worked out of their home and used the computer as a part of their work. 9.3 5.3 6.3 8.8 6.5 0.6 5.2 6.6 9.3 4.3 6.3 2.1 2.7 0.4 3.7 3.3 1.1 2.7 6.7 6.5 4.3 9.7 7.7 5.2 1.7 8.5 4.2 5.5 5.1 5.6 5.4 4.8 2.1 10.1 1.3 5.6 2.4 2.4 4.7 1.7 22.0 6.7 1.1 6.7 2.2 2.6 9.8 6.4 4.9 5.2 4.5 9.3 7.9 4.6 4.3 4.5 9.2 8.5 6.0 8.1 a. Organize the data into a frequency distribution. How many classes would you suggest? What value would you suggest for a class interval? Ch.3 1. The annual incomes of the five vice presidents of TMV Industries are: \$125,000; \$128,000; \$122,000; \$133,000; and \$140,000. Consider this a population. 1. What is the range? 2. What is the arithmetic mean income? 3. What is the population variance? The standard deviation? 4. The annual incomes of officers of another firm similar to TMV Industries were also studied. The mean was \$129,000 and the standard deviation \$8,612. Compare the means and dispersions in the two firms. Ch.4 1. Listed below are the salaries, in \$000, for a sample of 15 chief financial officers in the electronics industry. \$516.0 \$548.0 \$566.0 \$534.0 \$586.0 \$529.0 546.0 523.0 538.0 523.0 551.0 552.0 486.0 558.0 574.0 Click here to see answer by stanbon(57347)

 Question 58878: If you can help me with these problems it would be appreciated. Ch.5 1. Refer to the wage data set, which reports information on annual wages for a sample of 100 workers. Also included are variables relating to industry, years of education, and gender for each worker. Develop a table showing the industry of employment by gender. A worker is randomly selected; compute the probability the person selected is: 1. Female. 2. Female or in manufacturing. 3. Female given that the selected person is in manufacturing. 4. Female and in manufacturing 2. A case of 24 cans contains 1 can that is contaminated. Three cans are to be chosen randomly for testing. a. How many different combinations of 3 cans could be selected? b. What is the probability that the contaminated can is selected for testing? 3. The state of Maryland has license plates with three numbers followed by three letters. How many different license plates are possible? 4. Reynolds Construction Company has agreed not to erect all “look-alike” homes in a new subdivision. Five exterior designs are offered to potential home buyers. The builder has standardized three interior plans that can be incorporated in any of the five exteriors. How many different ways can the exterior and interior plans be offered to potential home buyers? Click here to see answer by stanbon(57347)

 Question 58909: A standard admissions test is given at three locations every year. One thousand students took the exam at location A, six hundred at location B, and four hundred at location C. The percentages of students from locations A, B, and C who passed the exam were 70%, 68%, and 77% respectively. One student is selected at random from all of those who took the exam. a) What is the probability that the student passed the exam? b) If the selected student passed the exam, what is the probability that the student took the test at location B? c) What is the probability that the student took the exam at location C and failed? d) Calculate the probability that the student failed the exam. e) If the selected student failed the exam, what is the probability that the student took the exam at location A? Click here to see answer by stanbon(57347)

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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