Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 206540: Backyard Retreats, Inc, sells an exclusive line of pools, hot tubs, and spas. It is located just off the Bee Line Expressway in Orlando, Florida. The owner reports 20% of the customers entering the store will make a purchase of at least $50. Suppose 15 customers enter the store before 10am on a particular Saturday
a) How many of these customers would you expect to make a purchase of at least $50?
b) What is the probability exactly five of these customers make a purchase of at least $50?
c) What is the probability at least five of these customers make a purchase of at least $50?
d) What is the probability at least one customers make a purchase of at least $50?
Click here to see answer by stanbon(75887)  |
Question 206754: The breaking strengths of cables produced by a certain manufacturer have a standard deviation of 85 pounds. A random sample of 100 newly manufactured cables has a mean breaking strength of 1800 pounds. Based on this sample,99% find a confidence interval for the true mean breaking strength of all cables produced by this manufacturer. Then complete the table below.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place
Click here to see answer by stanbon(75887) |
Question 206767: Over the past 2 weeks, jane earned $292 and $193 respectively, at her part time job.What must she earn in the third week to earn jer three week average earnings of$200 a week?
(This is my answer-is it right?)please help.
Jane has an average earning of $600 in three weeks.She has already earned $485 for two weeks.To stay within her average, she needs to make$115 for the third week.
Click here to see answer by Alan3354(69443)  |
Question 206723: I know this is a hypergeometric distribution. When I solve for P1 = success of daffodil and P2 = success for tulip...I get the same answer and now I am confused. Something seems off to me.
A homeowner plants 6 bulbs selected at random from a box containing 5 tulip bulbs and 4 daffodil bulbs. What is the probability that the homeowner planted 2 daffodil bulbs and 4 tulip bulbs?
Click here to see answer by scott8148(6628)  |
Question 206808: Multiple myeloma or blood plasma cancer is characterized by increased blood vessels formulation (angiogenesis) in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patients own stem cells. The following data myeloma represents the bone marrow micro- vessel density for patients who had had a complete response to the stem cell transplant as measured by blood and urine tests. The measurements were taken immediately prior to the stem cell transplants and at the time of the complete response.
Patient Before After
1 158 284
2 189 214
3 202 101
4 353 227
5 416 290
6 426 176
7 441 290
a) At the 0.05 level of significance, is there evidence that the mean bone marrow microvessel density is higher before the stem cell transplant than after the cell transplant?
b) Interpret the meaning of the p-value in (a)
c) Construct and interpret a 95% confidence interval estimate of the mean differences in bone marrow microvessel density before and after the stem cell transplant.
Click here to see answer by stanbon(75887) |
Question 206877: The director of training for an electronic equipment manufacturer is interested in determining whether different training methods have an effect on the productivity of the assembly-line employees. She randomly assigns 42 recently hired employees into two groups of 21. The first group receives a computer-assisted, Individual-based training program and the other receives a team-based training program. Upon completion of the training, the employees are evaluated on the time (in seconds) it takes to assemble a part. The results are in the data file training.
a) Assuming that the variances in the populations of training methods are equal, is there evidence of a difference between the mean assembly times (in seconds) of employees trained in a computer-assisted, individual-based program and those trained in a team-based program? (Use a 0.05 level of significance.)
b) What other assumptions are necessary in (a)?
c) Repeat (a) assuming that the population variances are not equal
d) Compare the results of (a) and (c)
e) Assuming equal variances construct and interpret a 95% confidence interval estimate of the difference between the population means of the two training methods.
Click here to see answer by stanbon(75887) |
Question 206943: A regression line was calculated as y = 9.7 - 3.2x. What is the slope of this line?
The equation of a regression line is y=4.6 +3.2x.Find the y intercept of this line.
If the correlation coefficient r is equal to .53, find the coefficient of determination and the coefficient f nondetermination.
Click here to see answer by stanbon(75887) |
Question 206959: Hypothesis testing -
A random group of apartments were selected for a city to analyze the number of bedrooms they have. Is there evidence to reject the hypothesis that the apartments are equally distributed between 1-bedroom, 2 bedroom, and 3-bedroom apartments, at alpha =.05?
Year in school 1 bedroom 2 bedroom 3 bedroom
Number of students 11914
Click here to see answer by stanbon(75887) |
Question 206965: 51. Gendar in Sequences of babies. Assuming boy and girl are equally likely, find the probability that would take.
A. at least 3 births to obtain 2 girls.
B. at least 4 births to obtain 2 girls.
C. at least 5 births to obtain 2 girls.
52.Drawing Cards. Cards are drawn, without replacement, from an ordinary 52-card deck.
A. How many must be drawn before the probability of obtaining at least one face card is greater than 1/2?
B. How many must be drawn before the probability of obtaining at least one king is greater than 1/2?
Click here to see answer by stanbon(75887) |
Question 207022: A recent study showed that 75 % of commercial airline flights in and out of the US airports were on-time arrivals and 19 % were late departures. three hundred flights are to be randomly identified from all flights and their flight logs examines closely.
What is the probability that more then 80 percent of the sample will be on-time arrival
Click here to see answer by Edwin McCravy(20054)  |
Question 207138: A random sample of 16 pharmacy customers showed the waiting times below (in minutes). Find a 90 percent confidence interval for μ, assuming that the sample is from a normal population.
21 22 22 17 21 17 23 20
20 24 9 22 16 21 22 21
Click here to see answer by Theo(13342)  |
Question 207102: An experiment is conducted with 50 dogs. each dog is given a dish of dry dog food and a dish of fresh dog food at the same time. the food that is eaten first is considered the prefered food. The dogs are classified as small (under 20kg), medium (20 - 25 kg), and large (over 50 kg) the resulta are tabulated as follows:
prefered dry prefered fresh
small dogs 2 18
medium dogs 7 13
Large dogs 4 6
if one dog is selected at random, find the probability that this dog:
1. is large
2. 'prefers' fresh food
3. is small or 'prefers' dry food
4. is small and 'prefers' dry food
5. is small given it 'prefers' dry food
6. 'prefers' dry food given it is medium
Click here to see answer by rfer(16322) |
Question 207341: A pharmaceutical company is testing the effectiveness of a new drug for lowering cholesterol. As part of this trial, they wish to determine whether there is a diffeerence between the effectiveness for women and for men. At a=.05, what is the test value?
Sample size 50 women 80 men
Mean effect 7 women 6.95 men
Sample variance 3 women 4 men
Click here to see answer by stanbon(75887) |
Question 207317: I have a population that I ran the mean for and got 55.1 as the Central measure of 10,000 data points.
Then I took 25 data points per sample and generated the sample means ( Actually ran 100 samples but I will sample the sample )
Here they are. Using Central Limit theorem concept, prove or disprove it by verifying the sample means approximate the population mean
to the ( at least ) 95% level of confidence
Sample means: 55.2, 55.7, 54.8, 54.9, 55.2, 55.3, 54.8, 55.1, 55.4, 54.6, 54.8, 55.2, 55.0, 54.9, 54.8, 55.0, 54.3
Click here to see answer by stanbon(75887) |
Question 207496: I have no idea how to even begin to solve this problem. Help please!
An automobile license plate consists of 3 letters followed by 4 digits.
How many different plates can be made?
If repetitions are allowed?
If repetitions are not allowed?
If repetitions are allowed in the letters but not in the digits?
Click here to see answer by Alan3354(69443) |
Question 207496: I have no idea how to even begin to solve this problem. Help please!
An automobile license plate consists of 3 letters followed by 4 digits.
How many different plates can be made?
If repetitions are allowed?
If repetitions are not allowed?
If repetitions are allowed in the letters but not in the digits?
Click here to see answer by stanbon(75887) |
Question 207532: Each person that works at a company is given a 5-digit code followed by a letter, either uppercase or lowercase. These employees must enter their codes on a keypad to enter and exit the office building. The company has 130 employees.
a. How many codes are possible if there are no restrictions?
b. What is the probability of someone entering a code at random and gaining entry to the building?
Click here to see answer by stanbon(75887) |
Question 207608: A sample of 500 shoppers was selected in a large metropolitan are to determine various information concerning consumer behavior. Among the questions asked was, “Do you enjoy shopping for clothing?” Of the 240 males, 136 said yes. Of 260 females, 224 answered yes.
a) Is there evidence of a significant difference between males and females in the proportion who enjoy shopping for clothing at the 0.01 level of significance?
b) Find the p-value in (a) and interpret its meaning
c) Construct and interpret a 95% confidence interval estimate of the difference between the proportion of males and females who enjoy shopping for clothing.
d) What are your answers to (a) through (c) if 206 males enjoyed shopping for clothing?
Click here to see answer by Theo(13342) |
Question 207136: Dave the jogger runs the same route every day (about 2.2 miles). On 18 consecutive days, he recorded the number of steps using a pedometer. The results were:
3,450 3,363 3,228 3,360 3,304 3,407 3,324 3,365 3,290
3,289 3,346 3,252 3,237 3,210 3,140 3,220 3,103 3,129
(a) Construct a 95 percent confidence interval for the true mean number of steps Dave takes on his run.
(b) What sample size would be needed to obtain an error of ± 20 steps with 95 percent confidence?
(c) Using Excel, plot a line chart of the data. What does the data suggest about the pattern over time?
Click here to see answer by stanbon(75887) |
Question 207681: Individual scores of a placement examination are normally distributed with a mean of 84.2 and a standard deviation of 12.8.
If a random sample of size n = 20 is selected, find the probability that the sample mean will be less than 90.0.
A: 0.4864
B: 0.6736
C: 0.9788
D: 0.1357
Click here to see answer by Edwin McCravy(20054) |
Question 207760: A sample of 500 shoppers was selected in a large metropolitan are to determine various information concerning consumer behavior. Among the questions asked was, “Do you enjoy shopping for clothing?” Of the 240 males, 136 said yes. Of 260 females, 224 answered yes.
a) Is there evidence of a significant difference between males and females in the proportion who enjoy shopping for clothing at the 0.01 level of significance?
b) Find the p-value in (a) and interpret its meaning
c) Construct and interpret a 95% confidence interval estimate of the difference between the proportion of males and females who enjoy shopping for clothing.
d) What are your answers to (a) through (c) if 206 males enjoyed shopping for clothing?
Click here to see answer by stanbon(75887) |
Question 207750: Section 4.1 Probability Distribution
1. Decide whether the random variable is discrete or continuous.
(References: example 1 page 195, end of section exercises 13 – 20 page 201) (1 points per each part)
a. The cost of a randomly selected apple
b. The height of randomly selected Statistics student
c. The number of books in the local college library
d. The braking time of a motorcycle
e. The number of cell phone call between Bagdad and Ft Bragg, NC on Christmas day in the current year
2. Decide whether the distribution is a probability distribution. If it is not as probability distribution, identify the property that is not satisfied. (References: example 3 and 4 page 197, end of section exercises 25 - 28 page 202 - 203)
x P(x)
0 0.49
1 0.05
2 0.32
3 0.07
4 0.07
3. A batch of 4 computers and the probabilities associated with the defectives in the group. Complete the table shown and find the mean, variance, and standard deviation for the distribution. Round a – c to 2 decimal places.
(References: example 5 and 6 page 198 - 199, end of section exercises 29 - 34 page 203)
x P(x) x P(x) x - (x - )2 P(x) (x - )2
0 0.34
1 0.17
2 0.26
3 0.21
4 0.02
x P(x) = P(x) (x - )2 =
(5 points for table)
a. Mean
(2 points)
= 1.596
b. Variance 2
(2 points)
=1.204784
Section 4.2: Binomial Probability
Find the indicated binomial probabilities. Round to the nearest 3 decimal places. (References: example 6 page 212, end of section exercises 15 - 24 page 216 - 217) For part d and e: (References: example 8 page 214)
4. The probability that a pumpkin seed will germinate is 70%. A gardener plants in batches of 12. (1 points each)
a. What is the probability that exactly 10 seeds will germinate?
b. What is the probability that 10 or more will germinate?
c. What is the probability that all seeds will germinate?
d. Find the mean
e. Find the variance 2
5. A True-False test has 20 questions with each having 2 possible answers with one correct. Assume a student answers every question.
a. What is the probability of getting exactly 9 correct answers?
b. What is the probability of getting less than 6 correct answers?
Click here to see answer by stanbon(75887) |
Question 208002: 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? Crash1
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(75887) |
Question 208099: The mean systolic blood pressure of adult males is normally
distributed with a mean of 138 (millimeters of
mercury) and a standard deviation of 9.7. What percent
of adult males have blood pressure between 161.28 and
164.9?
Click here to see answer by stanbon(75887) |
Question 208098: On a TV game show, the contestant is asked to select a
door and then is rewarded with the prize behind the door
selected. If the doors can be selected with equal probability,
what is the expected value of the selection if the
three doors have behind them a $40,000 foreign car, a $3
silly straw, and a $50 mathematics textbook?
Click here to see answer by stanbon(75887) |
Question 208151: A student who is 4 feet tall casts a shadow that is 5 feet long. If a tree casts a shadow that is 65 feet long, how tall is the tree?
I have no clue how to perform this problem...Can someone please help?
Click here to see answer by rfer(16322) |
Question 208154: X Y
1 3
2 5
3 7
4 9
Which equation describes the relationship between the X and y values in the table below?
A. Y = 3x
B. Y = x + 2
C. Y = 3x - 1
D. Y = 2x + 1
I know I have done these but I can not remember what the steps are.
Click here to see answer by stanbon(75887) |
Question 208223: If a statistician wishes to determine whether there is evidence that the average family income in a community exceeds $25,000,
a. either a one tail or two tail test could be employed with equivalent results
b. a one tail test should be utilized
c. a two tail test should be utilized
d. none of the above
Click here to see answer by stanbon(75887) |
Question 208222: The standard error of the mean for a characteristic of a sample of 100 identity theft victims is 30. In order to cut the standard error to 15, we would:
a. Increase the sample size to 200
b. Increase the confidence interval
c. Increase the sample size to 400
d. Decrease the sample size to 50
Click here to see answer by stanbon(75887) |
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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, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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