# 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 134552: How many ways can a committee of 4 be chosen from 5 women and 6 men if the committee much have at least one woman? Click here to see answer by checkley71(8403)

 Question 134555: I have a couple questions here that I do not understand how to do. Can someone please give me some guidance on how to do them? 1) A box contains blue chips and red chips. A person selects two chips without replacement. If the probability of selecting a blue chip and a red chip is 32/128, and the probability of selecting a blue chip on the first draw is 5/16, find the probability of selecting the red chip on the second draw, given the first chip selected was a blue chip? a) 1/5 b) 2/5 c)3/5 d) 4/5 2) A recent poll by the American automobile club found that 30% of those surveyed are worried about aggressive drivers on the road. If three people are selected at random, what is the probability that all three will be worried about agressive drivers on the road? a) .900 b) 0.027 c) 0.081 d) 0.300 Click here to see answer by stanbon(57224)

 Question 134563: Explain when to use a permutation and when to use a combination when choosing r objects from n objects Click here to see answer by solver91311(16868)

 Question 134581: (This is a combination formula not a permutation)A radio station takes the names of the first 20 listeners who call in after hearing a certain song.The station will randomly select 3 of the callers to win tickets to a concert.If 3 friends are among the first 20 callers, what is the probability that the 3 friends will win tickets? 1)how many possible combinations of 3 callers can be selected to win tickets? 2)How many possible combinations of 3 ticket winners include all 3 of the friends? 3)Find the probability that the 3 friends win tickets. Click here to see answer by stanbon(57224)

 Question 134551: What is the probility of getting a Full House in a five-card hand? Click here to see answer by stanbon(57224)

 Question 134603: Find the number of combinations C 6 4 Click here to see answer by solver91311(16868)

 Question 134667: I need some help please, I've searched the website and I'm not finding this answer. NO ISBN as I'm in an online class. Biting an un-popped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, the un-popped kernels were counted. There were 86. (a) Construct a 90 percent confidence interval for the proportion of all kernels that would not pop. (b) Check the normality assumption. (c) Try the Very Quick Rule. Does it work well here? Why, or why not? (d) Why might this sample not be typical? Click here to see answer by stanbon(57224)

 Question 134684: Hello, Can someone show me how to work this problem. I'm trying and cannot seem to figure this out. Thanks in Advance. The Web-based company Oh Baby! Gifts has a goal of processing 95 percent of its orders on the same day they are received. If 485 out of the next 500 orders are processed on the same day, would this prove that they are exceeding their goal, using a = .025? (See story.news.yahoo.com accessed June 25, 2004.) Click here to see answer by stanbon(57224)

 Question 134678: A sample of 20 pages was taken without replacement from the 1,591-page phone directory Ameritech Pages Plus Yellow Pages. On each page, the mean area devoted to display ads was measured (a display ad is a large block of multicolored illustrations, maps, and text). The data (in square millimeters) are shown below: 0 260 356 403 536 0 268 369 428 536 268 396 469 536 162 338 403 536 536 130 (a) Construct a 95 percent confidence interval for the true mean. (b) Why might normality be an issue here? (c) What sample size would be needed to obtain an error of ±10 square millimeters with 99 percent confidence? (d) If this is not a reasonable requirement, suggest one that is. Click here to see answer by stanbon(57224)

 Question 134747: 15.18 Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Research question: At α = .01, is the degree of certainty independent of credits earned? Certainty Credits Earned Very Uncertain Somewhat Certain Very Certain Row Total 0–9 12 8 3 23 10–59 8 4 10 22 60 or more 1 7 11 19 Col Total 21 19 24 64 Click here to see answer by stanbon(57224)

 Question 134751: the telephone extensions at a company use 4 digits a. how many extensions are possible if there no restrictions? b. how mant extensions are possible if the first digit cannot be 0 or 9? c. how many extensions are possible if the first digit can only be 1? Click here to see answer by stanbon(57224)
 Question 134751: the telephone extensions at a company use 4 digits a. how many extensions are possible if there no restrictions? b. how mant extensions are possible if the first digit cannot be 0 or 9? c. how many extensions are possible if the first digit can only be 1? Click here to see answer by checkley77(12569)

 Question 134164: Determine the area under the standard normal curve that lies to the left of a)z=0.43 b) z=-o.13 c) z=-0.75 d) z=1.62 Click here to see answer by stanbon(57224)

 Question 134254: Need of help, I do not have an ISBN number due to being an online course. A researcher used stepwise regression to create regression models to predict birth rate (births per 1,000) using five predictors: LifeExp (life expectancy in years), InfMort (infant mortality rate), Density (population density per squre kilometer) GDPCap (Gross Domestic Product per capita), and Literature (Literacy Percent). Interpret these results. 153 observations; BirthRate is the Dependent Variable p-values for the coefficients Nvar: 1)LifeExp=0,InfMort=.0000,Density=0,GDPCap=0,Literate=0, s=6.318,AdjR=.722,R=.724 2)LifeExp=0,InfMort=.0000,Density=0,GDPCap=0,Literate=.0000, s=5.334,AdjR=.802, R=.805 3)LifeExp=0,InfMort=.0000,Density=0,GDPCap=.0242,Literate=.0000, s=5.21,AdjR=.807,R=.811 4)LifeExp=.5764,InfMort=.0000,Density=0,GDPCap=.0311,Literate=.0000, s=5.273,AdjR=.806,R=.812 5)LifeExp=.5937,InfMort=.0000,Density=.6289,GDPCap=.0440,Literate=.0000, s=5.287,AdjR=.805,R=.812 Thank you! Click here to see answer by stanbon(57224)

 Question 134148: 66. A survey of undergraduate students in the School of Business at Northern University revealed the following regarding the gender and majors of the students: Major Gender Accounting Management Finance Total Male 100 150 50 300 Female 100 50 50 200 Total 200 200 100 500 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 a female or an accounting major? Which rule of addition did you apply? d. Are gender and major independent? Why? e. What is the probability of selecting an accounting major, given that the person selected is a male? f. Suppose two students are selected randomly to attend a lunch with the president of the university. What is the probability that both of those selected are accounting majors? Click here to see answer by stanbon(57224)

 Question 134147: 8. A sample of 2,000 licensed drivers revealed the following number of speeding violations. Number of Violations Number of Drivers 0 1,910 1 46 2 18 3 12 4 9 5 or more 5 Total 2,000 a. What is the experiment? b. List one possible event. c. What is the probability that a particular driver had exactly two speeding violations? d. What concept of probability does this illustrate? Click here to see answer by stanbon(57224)

 Question 134146: Please help 68. The American Automobile Association checks the prices of gasoline before many holiday weekends. Listed below are the self-service prices for a sample of 15 retail outlets during the May 2003 Memorial Day weekend in the Detroit, Michigan, area. 1.44 1.42 1.35 1.39 1.49 1.49 1.41 1.46 1.41 1.49 1.45 1.48 1.39 1.46 1.44 70. A recent article suggested that if you earn \$25,000 a year today and the inflation rate continues at 3 percent per year, you'll need to make \$33,598 in 10 years to have the same buying power. You would need to make \$44,771 if the inflation rate jumped to 6 percent. Confirm that these statements are accurate by finding the geometric mean rate of increase. 72. The weights (in pounds) of a sample of five boxes being sent by UPS are: 12, 6, 7, 3, and 10. a. Compute the range. b. Compute the mean deviation. c. Compute the standard deviation. Click here to see answer by stanbon(57224)

 Question 134145: 62. The Citizens Banking Company is studying the number of times the ATM located in a Loblaws Supermarket at the foot of Market Street is used per day. Following are the numbers of times the machine was used over each of the last 30 days. Determine the mean number of times the machine was used per day 83 64 84 76 84 54 75 59 70 61 63 80 84 73 68 52 65 90 52 77 95 36 78 61 59 84 95 47 87 60 Click here to see answer by stanbon(57224)

 Question 133924: Can someone please help me with these two questions? I am having a difficult time and am not sure what to do. 1) The probability that federal income tax returns will have 0,1,or 2 errors is 0.53,0.15, and 0.32 respectively. If 10 randomly selected returns are audited, what is the probability that six will have no errors, three will have one error, and one will have two errors? 2) The probability that a person will have 0,1, or 2 dental checkups per year is 0.2, 0.5, and 0.3 respectively. If seven people are picked at random, what is the probability that two will have no checkup, four will have one checkup and one will have two checkups in the next year. Click here to see answer by stanbon(57224)

 Question 133848: Sam reaches into a bag that contains 6 tiles numbered 1 through 6 and draws 2 stimultaneously. What is the probability that Sam drew 2 odd numbers? Click here to see answer by stanbon(57224)

 Question 133847: A box contains blue chips and red chips. A person selects two chips without replacement. If the probability of selecting a blue chip and a red chip is 32/128, and the probability of selecting a blue chip on the first draw is 5/16, find the probability of selecting a red chip on the second draw, given that the first chip selected was a blue chip. Click here to see answer by stanbon(57224)

 Question 133843: A nursery has 8 different plants, 5 different baskets, and 6 different ribbions. If Ignacio wins a plant from the nursery, what is the probability that he well get a fuchsia in a round basket with a pink ribbon? A. 1/19 B. 1/40 C. 1/48 D. 1/240 Click here to see answer by stanbon(57224)

 Question 133798: The average age of Amtrak passenger train cars is 19.4 years. If the distribution of ages is normal and 20% of the cars are older than 22.8 years, find the standard deviation. Click here to see answer by stanbon(57224)

 Question 134816: Please and thank you in advance, I'm an online student, so there is no text book. How do I work this problem, what formula do I use? Thanks, your the best. Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 level of significance, is the true mean greater than 10? (b) Use Excel to find the right-tail p-value. Click here to see answer by stanbon(57224)

 Question 134817: Hi, I'm an online student with no physical textbook and the online textbook sucks, please help. Wish I could sit down with you and work these so you could explain it to me. I'm just lost with Statistics all together. Thanks for your help. In Dallas, some fire trucks were painted yellow (instead of red) to heighten their visibility. During a test period, the fleet of red fire trucks made 153,348 runs and had 20 accidents, while the fleet of yellow fire trucks made 135,035 runs and had 4 accidents. At α = .01, did the yellow fire trucks have a significantly lower accident rate? (a) State the hypotheses. (b) State the decision rule and sketch it. (c) Find the sample proportions and z test statistic. (d) Make a decision. (e) Find the p-value and interpret it. (f ) If statistically significant, do you think the difference is large enough to be important? If so, to whom, and why? (g) Is the normality assumption fulfilled? Explain. Click here to see answer by stanbon(57224)

 Question 134836: If i flipped a fair coin 5 times, what is the probability of getting 3 heads. Please show work..;) thank you so much Click here to see answer by stanbon(57224)

 Question 134849: I'm an online student, please help. A manufacturer claims that at least 99% of all his products meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard. Conduct the 5-step hypothesis test … and answer the following: What is the null hypothesis? What is the alternate hypothesis? What is the critical value if a = .01? What is the z-statistic? ? What is your decision ?? Do the products meet the government standards? Click here to see answer by stanbon(57224)

 Question 134853: Determine the number of ways a class of ten students can select four students for a committee. The answer is supposed to be 210 Click here to see answer by vleith(2825)

 Question 134852: How many distinguishable permutations of letters are possible in the word BASEBALL? The answer is supposed to be 5040. Click here to see answer by vleith(2825)
 Question 134852: How many distinguishable permutations of letters are possible in the word BASEBALL? The answer is supposed to be 5040. Click here to see answer by stanbon(57224)

 Question 134014: 16 college graduates, of whom 5 are men, have applied for six vacancies in a company. The Company has decided to hire 2 men. If the positions all have different job descrptions, how many ways are there in which the company can make 6 offers of this type? I know I need to use the equation nCr or nPr, but I really don't understand them. Could you help explain please?! Thanks! Click here to see answer by stanbon(57224)

 Question 133742: The probability that federal income tax returns will have 0,1, or 2 errors is 0.53, 0.15, and 0.32 respectively. If 10 randomly selected returns are audited, what is the probability that six will have no errors, three will have one error, and one will have two errors? Click here to see answer by stanbon(57224)

 Question 133741: I am not even sure where to start with this problem. Any assistance would be helpful. Thank you! A survey of 12 people at a bookstore showed that five had purchased a hardcover book. If seven people are selected at random, what is the probability that four of them had purchased a hardcover book? Click here to see answer by stanbon(57224)

 Question 133739: I am having a hard time with this one. Can someone please help me?? A box contains blue chips and red chips. A person selects two chips without replacement. If the probability of selecting a blue chip and a red chip is 32/128, and the probability of selecting a blue chip on the first draw is 5/16, find the probability of selecting the red chip on the second draw, given the first chip selected was a blue chip. Click here to see answer by stanbon(57224)

 Question 133641: I want to see if I did this problem right: The average afe of CEO's is 56. Assume the cariable is normally distrubited. If the standard deviation is 4 years, find the probability that the age of a randomly selected CEO will be in the following range: Between 53 and 59 years old. This is how I did it: 53-56/4 = -.75 then I looked at my chart and found that the average was .2580 59-56/4 = .75 then I looked at the chart and found the average was .2580 then I added the 2 averages together: .2580 + .2580 = .516 = 51.6% Click here to see answer by stanbon(57224)

 Question 133640: The average age of Amtrak passenger train cars is 19.4 years. If the distribution of ages is normal and 20% of the cars are older than 22.8 years, find the standard deviation. Click here to see answer by stanbon(57224)

 Question 133581: Use the five-step hypothesis testing procedure to solve the following? As part of a study of corporate employees, the Director of Human Resources for PNC, Inc. wants to compare the distance traveled to work by employees at their office in downtown Cincinnati with the distance for those in downtown Pittsburg. A sample of 35 Cincinnati employees showed they travel a mean of 370 miles per month, with a standard deviation of 30 miles per month. A sample of 40 Pittsburgh employees showed they travel a mean of 380 miles per month, with a standard deviation of 26 miles per month. At the .05 significance level, is there a difference in the mean number of miles traveled per month between Cincinnati and Pittsburgh employees? Click here to see answer by stanbon(57224)

 Question 133521: In the following regression, X = total assets (\$ billions), Y = total revenue (\$ billions), and n = 64large banks. (a) Write the fitted regression equation. (b) State the degrees of freedom for a twotailedtest for zero slope, and use Appendix D to find the critical value at α = .05. (c) What is your conclusion about the slope? (d) Interpret the 95 percent confidence limits for the slope. (e) Verify that F = t2 for the slope. (f) In your own words, describe the fit of this regression. Click here to see answer by stanbon(57224)

 Question 133491: Gestation Period Mean Birth Weight Standard Deviation Under 28 weeks 1.88 lb 1.19 lb 28 to 31 weeks 4.07 lb 1.87 lb 32 to 35 weeks 5.73 lb 1.48 lb 36 weeks 6.46 lb 1.20 lb 37 to 39 weeks 7.33 lb 1.09 lb 40 weeks 7.72 lb 1.05 lb 41 weeks 7.83 lb 1.08 lb 42 weeks and over 7.65 lb 1.12 lb There are 5 exercises Question 1) The distributions of birth weights for three gestation periods are shown. Match the curves with the gestation periods. Explain your reasoning. (I photographed the curves and they are attached.) Question 2) What percent of the babies born with each gestation period have a low birth weight (under 5.5 pounds)? Explain your reasoning. (a) Under 28 weeks (b) 32 to 35 weeks (c) 37 to 39 weeks (d) 42 weeks and over. Question 3) Describe the weights of the top 10% of the babies born with each gestation period. Explain your reasoning. (a) 37 to 39 weeks (b) 42 weeks and over Question 4) For each gestation period, what is the probability that a baby will weigh between 6 & 9 pounds at birth? (a) 32 to 35 weeks (b) 37 to 39 weeks (c) 42 weeks and over Question 5) A birth weight of less than 3.3 pounds is classified by the NCHS as a "very low birth weight." What is the probability that a baby has a very low birth weight for each gestation period? (a) Under 28 weeks (b) 32 to 35 weeks (c) 37 to 39 weeks Click here to see answer by stanbon(57224)

 Question 132527: Question 11.24 from Chapter 11 Doane−Seward: Applied Statistics in Business and Economics In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles Crash Damage (\$) Goliath Varmint Weasel 1,600 1,290 1,090 760 1,400 2,100 880 1,390 1,830 1,950 1,850 1,250 1,220 950 1,920 Click here to see answer by stanbon(57224)

 Question 132428: Please help. Biting an unpopped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 86. (a) Construct a 90 percent confidence interval for the proportion of all kernels that would not pop. (b) Check the normality assumption. (c) Try the Very Quick Rule. Does it work well here? Why, or why not? (d) Why might this sample not be typical? : Please help. Biting an unpopped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 86. (a) Construct a 90 percent confidence interval for the proportion of all kernels that would not pop. (b) Check the normality assumption. (c) Try the Very Quick Rule. Does it work well here? Why, or why not? (d) Why might this sample not be typical Click here to see answer by stanbon(57224)

 Question 132418: The Web-based company Oh Baby! Gifts has a goal of processing 95 percent of its orders on the same day they are received. If 485 out of the next 500 orders are processed on the same day, would this prove that they are exceeding their goal, using α = .025? Click here to see answer by stanbon(57224)

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, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195