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

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Question 1107254: Two people are selected from a group of eight women and ten men. Find the probability that
a) Both are men.
b) At least one is a woman.

Click here to see answer by greenestamps(13195) About Me 

Question 1107243: When an adult is randomly selected, there is an 85% chance that this person knows what Twitter is. Find the probability that exactly three out of any five randomly selected adults know of Twitter.
Click here to see answer by greenestamps(13195) About Me 

Question 1107255: Two samples are taken with the following numbers of successes and sample sizes r1=26 r2=28 n1=92 n2=63 Find a 98% confidence interval, round answers to the nearest thousandth
Click here to see answer by Boreal(15235) About Me 

Question 1107270: For each of the following percentages, find the z-score that is closest to having that exact percentage of date to its left (less than the z-score);
84%
32%
57%

Click here to see answer by Boreal(15235) About Me 

Question 1107358: An organization asked random high school students across the United States if they felt that fast food should be introduced
in the school cafeteria. The results for 500 students were as follows:
Agree, fast food should be introduced 79%
Don’t agree or disagree 11%
Disagree, fast food should not be introduced 10%
How many of the 500 students surveyed agreed that fast food should be introduced?
A)50
B)55
C)105
D)395

Click here to see answer by ikleyn(52754) About Me 

Question 1107373: An instructor has graded 22 exam papers submitted by students in a class of 23 students, and the average so far is 68. (The maximum possible score is 100.) How high would the score on the last paper have to be to raise the class average by 1 point?
2 points?

Click here to see answer by ikleyn(52754) About Me 

Question 1107404: Just would like to know how I would go about answering this problem. I am really getting some of the concepts down but when it come to a variety of different word problems, i have a hard time setting them up. Just need help setting them up. See questions below
Suppose that the demand for a company’s product in weeks 1, 2, and 3 are each normally distributed and the mean demand during each of these three weeks is 50, 45, and 65, respectively. Suppose the standard deviation of the demand during each of these three weeks is known to be 10, 5, and 15, respectively. It turns out that if we can assume that these three demands are probabilistically independent then the total demand for the three week period is also normally distributed. And, the mean demand for the entire three week period is the sum of the individual means. Likewise, the variance of the demand for the entire three week period is the sum of the individual weekly variances. But be careful! The standard deviation of the demand for the entire 3 week period is not the sum of the individual standard deviations. Square roots don’t work that way!
Now, suppose that the company currently has 180 units in stock, and it will not be receiving any further shipments from its supplier for at least 3 weeks. What is the probability that the company will run out of units?

Click here to see answer by Theo(13342) About Me 

Question 1107408: Hello, see problem below
The following data represent the number of children in a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2.
Compute the variance of the data. Place your answer, rounded to two decimal places, in the blank.
I have tried this problem more than one time and it getting 2.49 and i was told it should be 2.77.
These are the steps I took to complete it:
The sum of the values is 19 and the total number of values is 10 that gives me a mean of 1.9. Then I subtracted the mean from each value then took the square root of the result. Then I added all the squared results and I got 24.9, divided that by 10 to get the variance of 2.49
If I missed something, please let know.

Click here to see answer by rothauserc(4718) About Me 

Question 1107475: find the midrange for the given sample data

Click here to see answer by Fombitz(32388) About Me 

Question 1107499: A political candidate for state office using an old pro believes he has a 60% chance of being elected based on this old pool but to be sure he wants to conduct the new pole with a margin of error of 3% how many people at a minimal need to be simple to achieve this 3% margin of error with 90% confidence
Click here to see answer by Boreal(15235) About Me 

Question 1107340: : In the example in problem 18, assume that the mean is 300 and the standard deviation is 25. Using a normal curve table, what scores would be the top and bottom scores to find a)the middle 50% of architects b)the middle 90% of architects and c)the middle 99% of architects?
q 18 Suppose that the scores of architects on a particular creativity test are normally distributed. Using a normal curve table, what percentage of architects have Z scores a)above .10 b)below .10 c)above.20 d)below .20 e)above 1.10 f)below 1.10 g)above -.10 and h)below -.10

Click here to see answer by Boreal(15235) About Me 

Question 1107529: analyze and provide a report. You may use more than one set of data of the
organisation.
a. Descriptive statistical analysis and
b. Time series analysis
Your report should have the following contents
1. Introduction
 Identify the objectives of the analysis.
2. Methodology
 Explain the methods used to analyse the given data.
 Discuss the relevant theory related to this analysis.
3. Data description
 Describe the types of variables in the data set, which are used in the analysis.
4. Analysis and Interpretation
 Analyse the data in detail using charts, tables and summary measures.
 Interpret the findings of the analysis.
5. Conclusion
 Conclusions based on the findings of the statistical analysis and interpretation.
 Recommendations for the organization.
6. Properly cite the references used.


Attendance Yest Att I1 I2 I3
7882 8876 0 1 0
6115 7203 0 0 0
5351 4370 0 0 0
8546 7192 1 1 0
6022 6835 0 0 0
7367 5469 0 1 0
7871 8207 0 1 0
5377 7026 0 0 0
5259 5592 0 1 0
4915 3190 0 0 0
6538 7012 0 0 0
6507 5517 0 0 0
5118 3764 0 0 0
6077 7575 0 0 0
4475 6047 0 0 0
3771 4430 0 0 0
6106 5697 0 0 0
7017 3928 1 1 1
5718 5552 0 0 0
5966 3142 1 1 1
8160 8648 1 1 1
4717 3397 0 0 0
7775 7655 0 0 0
5124 5920 0 0 0
7495 7831 1 1 1
5848 6355 0 0 0
5166 3529 0 0 0
4487 4220 0 0 0
7320 7526 0 1 0
6925 4083 1 1 0
8133 6382 1 1 0
7929 6459 0 0 0
7291 3432 1 1 1
5419 8077 0 0 0
3634 3353 0 0 0
6859 3803 1 1 1
6883 7476 1 1 1
8352 7075 1 1 0
9659 8859 1 1 0
5627 7696 0 1 0

Click here to see answer by ikleyn(52754) About Me 

Question 1107592: What are the odds of cutting the same card from a pack 4 times in a row. The pack is shuffled each time. This happened in a game of cribbage and the same card also emerged on cut number 6!
Click here to see answer by AnlytcPhil(1806) About Me 

Question 1107600: the mean age of cousins in a family is 16.25. the cousins ages are 12,15,20 and x what is the age of x
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Question 1107603: Read the question carefully. Sample question: “80% of people who purchase pet insurance are women. If 9 pet insurance owners are randomly selected, find the probability that exactly 6 are women.”
I am trying to have this problem broken down. Can you please explain how 84 came from 9! / (9-6)!6!

Click here to see answer by Theo(13342) About Me 
Question 1107603: Read the question carefully. Sample question: “80% of people who purchase pet insurance are women. If 9 pet insurance owners are randomly selected, find the probability that exactly 6 are women.”
I am trying to have this problem broken down. Can you please explain how 84 came from 9! / (9-6)!6!

Click here to see answer by addingup(3677) About Me 

Question 1107586: The probabilities that a student will get an A, a B, or a C in a history course are 0.09,
0.15, and 0.53. What is the probability that the student will get a grade lower than C?

Click here to see answer by Boreal(15235) About Me 

Question 1107585: from a pack of 52 cards 2 cards are drawn at random .find the probality that one is king another one queen with explanation

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Question 1107650: an urn contains 8 red balls and 4 white balls.Three balls are selected at random.
Let Ri denote the event, a red ball is chosen on the ith selection and Wi denote the event a white
ball is chosen on the ith selection. Let A denote the event at icast two red balls were seleCted
consecutively.

Click here to see answer by greenestamps(13195) About Me 

Question 1107647: 39. A Statistics teacher claims that 60% of his students will pass the class with an ”A”. Due to change of text book and educational objectives there is a worry that the number of students getting an ”A” will be smaller now. A random sample of 80 students shows that 43 got an ”A”. Test the teachers claim at significance level of 5%. 
(a)  What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? 

. (b)  Identify the sampling distribution you will us: the standard normal or Student’s t. Explain the rationale for your choice. What is the value of the sample test statistic? 

. (c)  Find (or estimate) the P − value. Sketch the sampling distribution and show the area corre- sponding to the P − value. 

(d) Find the critical value(s).

Click here to see answer by rothauserc(4718) About Me 

Question 1107763: Andrea and ling are evenly matched tennis players. However, each time Ling loses a game his probability of winning the next game is decreased by 1/5. But when he wins, his probability pf winning the next game increases by 1/10.
Find the probability that Andrea wins exactly two games?

Click here to see answer by Boreal(15235) About Me 

Question 1107768: in a manufacturing process, it is estimated that only 2% of the bolts that are machined are declared defective, that is, that are either too large or too small. In a package of 50 bolts, what is the probability that there is at least one defective bolt?
Click here to see answer by Boreal(15235) About Me 

Question 1107900: A poll found that 3 of 5 voters planned to vote candidate A. Joe and Mike voted. What is the probability that both voted for candidate A?
Click here to see answer by stanbon(75887) About Me 

Question 1107809: Air-USA has a policy of booking as many as 15 persons on an airplane that can seat only 14. (Past studies have revealed that only 83% of the booked passengers actually arrive for the flight.)
Find the probability that if Air-USA books 15 persons, not enough seats will be available.
prob =
(round to 4 decimal places)
Is this probability low enough so that overbooking is not a real concern for passengers if you define unusual as 5% or less?
yes, it is low enough not to be a concern
no, it is not low enough to not be a concern

What about defining unusual as 10% or less?
yes, it is low enough not to be a concern
no, it is not low enough to not be a concern

Click here to see answer by stanbon(75887) About Me 

Question 1107808: The television show Found has been successful for many years. That show recently had a share of 19, meaning that among the TV sets in use, 19% were tuned to Found. Assume that an advertiser wants to verify that 19% share value by conducting its own survey, and a pilot survey begins with 14 households have TV sets in use at the time of a Found broadcast.
Find the probability that none of the households are tuned to Found.
P(none) =
(round answer to 4 decimal places)
Find the probability that at least one household is tuned to Found.
P(at least one) =
(round answer to 4 decimal places)
Find the probability that at most one household is tuned to Found.
P(at most one) =
(round answer to 4 decimal places)
If at most one household is tuned to Found, does it appear that the 19% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Found unusual?)
yes, it is wrong
no, it is not wrong

Click here to see answer by stanbon(75887) About Me 

Question 1107918:
For drivers aged 20-24 there is a 34% chance of having a car accident in a one year period (based on data from the National Safety Council).
(a) Based on this data, in a group of 14 randomly selected drivers aged 20-24, find the probability that at least 2 of them will have a car accident in the next year.

Click here to see answer by rothauserc(4718) About Me 

Question 1107958: a box contains 10 red cards numbered 1 through 10. list the sample space of picking one card from the box
Click here to see answer by Boreal(15235) About Me 

Question 1107960: two 6- sided dice are thrown. determine the numbers of a way that a score which is a multiple of 3 can be obtained
Click here to see answer by rothauserc(4718) About Me 

Question 1107706: Hello, I'm having difficulty completing the following problem. Any help is appreciated.
Question: The probability that a worker gets a "5" on their annual review is 20 percent. The probability that a worker is male is 40 percent. The probability that a worker gets a "5" and is male is 50 percent. What is the probability a worker is male and gets a "5"?
I created a table and filled in the totals but I'm having trouble getting the other percentages. I came up with .08 but I'm not sure if it is correct. Can you show me how to figure this out? I don't just want the answer.
Thank you.

Click here to see answer by stanbon(75887) About Me 

Question 1108079: A coin is flipped four times. Find the probability of getting two heads and two tails.
Click here to see answer by math_helper(2461) About Me 

Question 1108199: Discuss why we would expand the idea of hypothesis testing to two populations. Can you provide an example of this type of hypothesis testing?

Click here to see answer by Collinwilfixyouuprealnice(44) About Me 

Question 1108197: A class in probability theory consists of 6 men and 4 women. An exam is given and students are ranked according to their performance. No students obtain Same scores then if all are rankings are considered equally likely, what is the probability that women receive the top 4 scores
Click here to see answer by Collinwilfixyouuprealnice(44) About Me 

Question 1108156: Suppose that 46% of adults attending a concert in a typical month, 56% listen to the radio in the typical month and 39% do both. What is the probability that a randomly selected adult will
A. Attend the concert or listen to the radio in a typical month?
B. Need to attend a concert nor listen to the radio in a typical month?

Click here to see answer by Collinwilfixyouuprealnice(44) About Me 

Question 1108122: Imagine that you are playing darts. Over three days of play, you throw the darts 503 times as you attempt to hit a bullseye. 74 of your attempts hit a bullseye, however, 18 of your attempts miss the dart board entirely.
What is the probability, in the long run, of hitting a bullseye or missing the dart board entirely?

Click here to see answer by Boreal(15235) About Me 

Question 1108114: In a recent survey 72 out of 102 doctors agree that both diet and exercises are required to maintain a healthy weight what proportion of doctors disagreed with this statement
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Question 1108082: he local bakery bakes more than a thousand 1-pound loaves of bread daily, and the weights of these loaves varies. The mean weight is 1 lb. and 4 oz., or 567 grams. Assume the standard deviation of the weights is 29 grams and a sample of 47 loaves is to be randomly selected.
(c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.)


(d) What is the probability that this sample mean will be between 557 and 577? (Give your answer correct to four decimal places.)


(e) What is the probability that the sample mean will have a value less than 561? (Give your answer correct to four decimal places.)


(f) What is the probability that the sample mean will be within 8 grams of the mean? (Give your answer correct to four decimal places.)


Click here to see answer by Boreal(15235) About Me 

Question 1108219: Suppose z is a standard normal random variable. Find the value of z subscript italic alpha divided by 2 end subscript such that P left parenthesis minus z subscript alpha divided by 2 end subscript less than z less than space z subscript italic alpha divided by 2 end subscript right parenthesis equal .80
Click here to see answer by Theo(13342) About Me 

Question 1108230: One adult and 10 children are in an elevator. If the adults weight is 4 times the average weight of the children, the the adults weight is what fraction of the total weight of the 11 people in the elevator?

Click here to see answer by stanbon(75887) About Me 

Question 1108238: Approximately 15% of people are left-handed. If two people are selected at random, what is the probability of the following events?
A. P(Both are right-handed) =
B. P(Both are left-handed) =
C. P(One is right-handed and the other is left-handed) =
D. P(At least one is right-handed) =

Click here to see answer by stanbon(75887) About Me 

Question 1108324: If three numbers from 100 to 99 are chosen at random, one at a time, find the probability they will be chosen in increasing order
Click here to see answer by Alan3354(69443) About Me 

Question 1108326: A five-digit number is chosen at random, one at a time. Find the probability that the number is NOT divisible by every element of (1,2,3,4,5,6)
Click here to see answer by ikleyn(52754) About Me 

Question 1108333: The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 11.8 fluid ounces and a standard deviation of 0.2 fluid ounce. A drink is randomly selected.
(a) Find the probability that the drink is less than 11.6 fluid ounces.
(b) Find the probability that the drink is between 11.4 and 11.6 fluid ounces.
(c) Find the probability that the drink is more than 12.2 fluid ounces. Can this be considered an unusual event? Explain your reasoning.

Click here to see answer by UnlockStudyDocs(1) About Me 

Question 1108358: A binomial probability experiment is conducted with the given parameters.Compute the probability of x successes in the n independent trials of the experiment.n=10,p=0.65,x=7 P(7)=
Click here to see answer by greenestamps(13195) About Me 

Question 1108402: In a town of 900 people, 400 are employed of which 300 are men,and 100 are women, if there are 600 men in d town,wat is d probability of pikin a person being a woman or unemployed
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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, 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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, 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