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

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Question 451485: An automobile manufacturer produces 45% of its cars at plant A. If 3% of the cars manufactured at plant A have defective emissions control devices, what is the probability that one of this manufacturer's cars was manufactured at plant A and has a defective emissions control device?
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Question 451287: You randomly select 20 mortgage institutions and determine the current mortgage intrest rate at each. The sample mean rate is 6.22% with a sample standard deviation of 0.42%. Find the 99% confidence interval for the population mean mortgage interest rate. Assume the interest rates are approximately normally distributed.
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Question 451595: The speed limit in the state of Ohio is 55 miles per hour. On a certain stretch of interstate highway the mean speed of traffic (as checked by radar) is 58 miles per hour with a standard deviation of 4 miles per hour. The speeds of vehicles on this section of highway are normally distributed.
a) What percentage of vehicles are exceeding the speed limit?
b) Above what speed are the top 5% of the speeders travelling?
A cruise ship has 74% chance of having leftover rooms the week before the cruise. There are 25 cruise ships setting sail this month.
a) Is it possible to approximate this binomial distribution using a normal approximation?
b) What is the mean and the standard deviation for this approximation?
c) What is the probability that exactly 20 cruise ships will have leftover rooms using the normal approximation?
d) How different is the normal approximation from the binomial distribution value? Calculate the probability that exactly 20 cruise ships will have leftover rooms using the binomial method?

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Question 451783: Given P(A) = .40, P(B) = .50, and P(A ∩ B) = .05, find
(a) P(A ∪ B),
(b) P(A | B), and
(c) P(B | A).
(d) Sketch a Venn diagram.

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Question 451857: What are the odds of drawing a heart from a standard deck of card?
Available answers are
a) 3 to 100
b) 1 to 13
c) 3 to 52
d) 1 to 3

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Question 451934: In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1,143 were positive. (a) Construct a 95 percent confidence interval for the population proportion of positive drug tests
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Question 451992: 1. A box contains 74 brass washers, 86 steel washers and 40 aluminum washers, Three washers are drawn at random from the box without replacement. Determine the probability that all three are steel washers.
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Question 452079: In a local district 9800 are democrats, 11000 are republican and 1200 are independent. What is the probability that any of teh three partiteis would be selected at random?
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Question 452118: if you have a mean of 100 and standard deviation of 15. question is what percentage of the scores are between 107.5 and 115? i get 53.28% but not sure if that makes sense
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Question 452205: Statistics students were asked to go home and fill a 1-cup measure with raisin bran, tap the cup
lightly on the counter three times to settle the contents, if necessary add more raisin bran to bring
the contents exactly up to the 1-cup line, spread the contents on a large plate, and count the raisins.
For the 13 students who chose Kellogg’s brand the reported results were
23 33 44 36 29 42 31 33 61 36 34 23 24
(a) Construct a 90 percent confidence interval for the mean number of raisins per cup. Show your
work clearly. (b) Can you think of features of the sample or data-gathering method that might create
problems? If so, how could they be improved? (c) Identify factors that might prevent Kellogg’s
from achieving uniformity in the number of raisins per cup of raisin bran. (d) How might a quality
control system work to produce more uniform quantities of raisins, assuming that improvement is
desired?

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Question 452221: The U.S. Customs Service conducted a random check of Miami longshoremen and found that 36 of 50 had arrest records. (a) Construct a 90 percent confidence interval for the true proportion.
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Question 452182: Ive Been struggling with this, any help is greatly appreciated :)
At a certain non-profit organization, 51% of employees are college graduates and 47% of employees have more than ten years of experience. If 77% of the organization's employees are either college graduates or have more than ten years of experience (or both), what is the probability that a randomly selected employee will have more than ten years of experience and be a college graduate?

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Question 452143: The standard deviation for the sample numbers 8,9,10? I got 0.81 and rounded to 1
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Question 452247: Dorthy's dog had a litter of 6 puppies. What is the probability that the dog had 4 female puppies? ( row 6 of Pascal's Triangle is 1, 6, 15, 20, 15, 6, 1 )
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Question 452256: Shaquille O’Neal hits 42% of all his foul shots. What is the probability that he hits two in a row
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Question 452258: If 35% of the population of registered voters in a certain town support the school levy, what is the probability that two randomly selected voters will support the levy
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Question 452270: Connor and Matt walk a 12 mile couse as part of a fitness program. Matt walks 1 mi/hr faster than Connor, and it takes him 1 hour less than Connor to complete the course. How long does it take Connor to complete the course?
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Question 452293: How can I solve this problem if it is solveable
x^2 + 2^2=

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Question 452346: http://i1142.photobucket.com/albums/n608/nancylam67/chapter10testB.jpg
I need help number 6 only,Thank you for spend time my home work

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Question 452338: http://i1142.photobucket.com/albums/n608/nancylam67/24.jpg
thank you for spent time with my home work

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Question 452465: what is the measure of the angle formed by the hands of a clock at 10:20?. It is not 180 .What fraction of a complete cycle has the big hand moved since 10? .Hasn't the little hand moved that same fraction of the way from 10 to 11?
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Question 452509: th problem asks a shop owner has a bag containing 15 red marbles and 1 orange marble if the owner wants to make sure the probability of choosing an orange marble is 2/5 how many orange marbles does she need to add?
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Question 452509: th problem asks a shop owner has a bag containing 15 red marbles and 1 orange marble if the owner wants to make sure the probability of choosing an orange marble is 2/5 how many orange marbles does she need to add?
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Question 452512: Two accounting professors decided to compare the variation of their grading procedures. To accomplish this they each graded the same 10 exams with the following results:

Answer these questions.
What is H0?
A)
B)
C)
D)
What is H1?
What are the degrees of freedom for the numerator of the F ratio?
What are the degrees of freedom for the denominator of the F ratio?
What is the critical value of F at the 0.01 level of significance?
The calculated F ratio is?
At the 1% level of significance, what is the decision?
A) Reject the null hypothesis and conclude the variance is different.
B) Fail to reject the null hypothesis and conclude the variance is different.
C) Reject the null hypothesis and conclude the variance is the same.
D) Fail to reject the null hypothesis and conclude the variance is the same.

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Question 452498: The probability that a randomly chosen weld will pass inspection is 0.90.
a)If an inspector checks 15 welds, what is the probability that exactly 14 will pass.
b)What is the probability that at least 14 will pass.

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Question 452468: An accounting professor claims that no more than one-quarter of undergraduate business students will major in accounting. What is the probablity that in a random sample of 1,200 undergraduate business students, 336 or more will major in accounting?
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Question 452531: A machine that manufactures automobile parts is estimated to produce defective parts 6% of the time. If this estimate is correct, and 6 parts produced by this machine are randomly selected, what is the probability that fewer than 2 turn out to be defective? Round your answer to four decimal places.

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Question 452442: A partner company to American Intellectual Union (AIU), Universal Credit Inc., would like to examine the required sample size needed to be able to estimate the mean dollars that each card holder will spend each month. It would like to be within plus or minus $25 of the true mean with a 98% confidence level. The standard deviation is thought to be $400. How many card holders should be sampled? Your company charges a set dollar amount for each account in the sample.
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Question 452529: ``Two accounting professors decided to compare the variation of their grading procedures. To accomplish this they each graded the same 10 exams with the following results:

Mean Grade Standard Deviation
Professor 1 79.3 22.4
Professor 2 82.1 12.0
Answer these questions.
What is H0?
A)
B)
C)
D)
What is H1?
What are the degrees of freedom for the numerator of the F ratio?
What are the degrees of freedom for the denominator of the F ratio?
What is the critical value of F at the 0.01 level of significance?
The calculated F ratio is?
At the 1% level of significance, what is the decision?
A) Reject the null hypothesis and conclude the variance is different.
B) Fail to reject the null hypothesis and conclude the variance is different.
C) Reject the null hypothesis and conclude the variance is the same.
D) Fail to reject the null hypothesis and conclude the variance is the same.
''.

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Question 452552: If a coin is flipped four times, what is the probabilty of flipping tails all four times?
Please show work

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Question 452652: Baskin-Robbins has 31 flavors of ice cream, and they have 3 types of cones. How many different types of orders can be placed if someone orders 1 scoop and in a cone?
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Question 452677: How many possible 5-card hands contain exactly 3 kings?
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Question 452647: Adults from ages 25-40 were asked which type of first date event they preferred from the given options.
Movie Outdoor Activity Computer Game Athletic event
Male 15 30 25 20
Female 35 10 5 15
Find P(movie/female) Find P(male/computer game)

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Question 452646: Raphael needs to create a PIN code for his new bank account. His bank requires the PIN code to contain 3 letters and 3 digits last. How many potential PIN codes could he create?
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Question 452701: you spin the pointer on the spinner. Find the probability that the spinner will stop on a number greater than 1
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Question 452691: You made 15 of 21 free throw attempts. What is the probability that you will make your next free throw?
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Question 452700: Please help me to solve this problem...
A normal distribution has a mean of 36 and a standard deviation of 8. Calculate the probability that an element selected from the population is:
a. < 25
b. > 33
c. Between 22 and 35
d. > 36
e. Between 21 and 27
Must show work

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Question 452713: Using Pascal's Triangle, what is the expansion of (a-2b^3)^3 ?
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Question 452753: A bag contains 25 gummy bears: five each of green, red, black, orange, and yellow. If you pick 2 gummy bears from the bag, what is the probability that the gummy bears will be the same color?

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Question 452794: For the table that follows, answer the following questions:
x
y
1 -6
2 -10
3 -14
4


- Would the correlation between x and y in the table above be positive or negative?

- Find the missing value of y in the table. would this be -18?

- How would the values of this table be interpreted in terms of linear regression?

- If a "line of best fit" is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative?

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Question 452858: bag contains 1 green, 4 red, 5 yellow ballons. two ballons are selected at random. find the probablity of P(1 red and 1 yellow)
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Question 452798: Given the following frequency distribution, find the mean, variance, and standard deviation. Please show all of your work.
Errors Frequency
56-58 22
59-61 14
62-64 24
65-67 19
68-70 19

Need to understand the step needed to complete this.

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Question 452878: Five cards are drawn from a standard 52 card declk. What is the probibility that the first 2 cards are red?
I put the formula as 26! / (26!-2!)*2!
But I'm not sure its right.
Please help, thanks.

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Question 452883: When alpha = 0.025, what is the probability of making a Type I error?
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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, 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