Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 465878: What is the probability that 6 rolls of a fair die will show four exactly 2 times?
According to a college survey 22% of all students work fulltime. Find the mean for the random variable x the number of students who work full time in the sample is 16.
Click here to see answer by edjones(8007)   |
Question 465865: For a multiple choice test with 30 questions, each with 5 possible answers, one of which is correct, for student who guess at all answer, find the mean, variance and standard deviation for the number of correct answers.
Click here to see answer by robertb(5830)  |
Question 466005: suppose that the frequency distibution of scores on an examination is closely described by a bell-shaped frequency curve and the distribution has a mean of 57.5 and a standard deviation of 10
(i) what exam score would correspond to the standard score Z=2/3
(ii) what percentage of candidates would be awarded grade A if the cut-off for the grade A is 75 marks.
(iii) can a score of 20 marks be considered an out liar? explain your answer.
Click here to see answer by ewatrrr(24785)  |
Question 465983: Can someone answer this question for me step by step or in a broken down manner
Determine the number of permutations of the letters of the word "sedlection."
thanks....I saw it answered as 9![2!]=181,440 i was just wonder how you came up with this answer i looked at similar questions and determined that there are 1s,2e's,1L,1c,1t,1i,1o,and 1n...but after this i am lost what do you do from here thanks
Click here to see answer by richard1234(7193)  |
Question 466188: i NEED HELP PLEASE
Must state the five steps
Hypotheses
critical value
compute test value
state whether you reject the null or not reject the null hypotheses
Write a summary conclusion
Noise levels in Hospitals
It was found that the standard deviation of the sound levels from 20 area designated as casualty doors was 4.1 dba and the standard devaiton of 24 areas desinated as operating theaters was 7.5 dba. At X=.05 can you substanitate the claim that there is a difference in the standard deviations?
Click here to see answer by stanbon(75887) |
Question 466071: Of the coffee makers sold in a appliance store, 3.0% have either a faulty switch or a defective cord, 2.4% have a faulty switch, and 0.3% have both defects. What percent of the coffee makers will have a defective cord?
Click here to see answer by stanbon(75887) |
Question 466158: the following are red cells foliate levels in two groups of cardiac bypass patient given different of nitrous oxide ventilation. (amess.AL.1978)
Group 1 20,36,50,60,62,42,62,82,58,60
Group 2 54,73,78,56,69,85,68,92,79,86
compare whether the two groups are different.
Click here to see answer by stanbon(75887) |
Question 466320: an elevator in a building starts with 6 people and stops at 8 floors.suppose ,all permutations of the passengers getting off at various floors are equally likely,find the probability that at least 2 of them get off on the same floor.
Click here to see answer by Edwin McCravy(20054)  |
Question 466541: A town has 2 fire engines operating independently. The probability that a specific fire engine is available when needed is 0.96.
a) What is the probability that neither is available when needed?
b) What is the probability that a fire engine is available when needed?
Click here to see answer by stanbon(75887) |
Question 466543: From a box containing 6 black balls and 4 green balls, 3 balls are drawn in succession, each ball being replaced in the box before the next draw is made.
a) all 3 are the same color?
b) each color is represented?
Click here to see answer by stanbon(75887) |
Question 466549: college graduates who are employed full-time have longer than -hour work weeks. Suppose that we wish to estimate the mean number of hours, , worked per week by college graduates employed full-time. We'll choose a random sample of college graduates employed full-time and use the mean of this sample to estimate . Assuming that the standard deviation of the number of hours worked by college graduates is hours per week, what is the minimum sample size needed in order for us to be confident that our estimate is within hours per week of ?
Click here to see answer by stanbon(75887) |
Question 466481: 1. A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss?
2. A movie theater sells 3 sizes of popcorn (small, medium, and large) with 3 choices of toppings (no butter, butter, extra butter). How many possible ways can a bag of popcorn be purchased?
3. A random variable Y has the following distribution:
Y | -1 0 1 2
P(Y)| 3C 2C 0.4 0.1 The value of the constant C is:
4. A random variable X has a probability distribution as follows:
X | 0 1 2 3
P(X) | 2k 3k 13k 2k
Then the probability that P(X < 2.0) is equal to
Click here to see answer by stanbon(75887) |
Question 466448: A local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. Test the local bank’s claim. Use the information given below. State the null and alternative hypotheses, the significance level, the critical value, the test statistic, the decision and conclusion.
Local Bank Competitor Bank
Sample size n1 = 45 n2 = 50
Average waiting
time in minutes 2.3 min. 2.6 min.
for each sample
Sample Standard
Deviation of s1 = 1.1 min. s2 = 1.0 min.
each sample
Click here to see answer by stanbon(75887) |
Question 466310: (a) In a random sample of 150 persons having their lunch at the University cafeteria on meatless day it was observed that 20 percent preferred vegetable dishes.
• Find 95% confidence interval for P (proportion of those who preferred vegetables)
• How large a sample is needed, if we want to be 98% confident that our estimate of P is within 0.01
Click here to see answer by stanbon(75887) |
Question 466597: An urn has 8 red and 4 white balls. We draw 2 balls from the urn without replacement. If we assume that at each draw each ball in the urn is equally likely to be chosen, what is the prob. that both balls drawn are red?
maybe 8/12 * 7/11 ???
Click here to see answer by sudhanshu_kmr(1152)  |
Question 466594: A bin contains 25 lightbulbs, 5 of which are in good condition and will function for at least 30 days, 10 of which are partially defective and will fail in their second day of use, 10 will not light up. Given that a randomly chosen bulb initially lights, what is the probability it will still be working after one week?
I was thinking that the prob. of picking a lightbulb that initially lights is 15/25. And the prob. that it will work more than a week is 15/25 * 5/25. Am i wrong thinking this way?
Click here to see answer by sudhanshu_kmr(1152) |
Question 374643: For each data set: (a) State the hypotheses. (b) Use Excel’s Tools > Data Analysis (or MegaStat or MINITAB) to perform the one-factor ANOVA, using α = .05. (c) State your conclusion about the population means. Was the decision close? (d) Interpret the p-value carefully. (e) Include a plot of the
data for each group if you are using MegaStat, and confidence intervals for the group means if you are
using MINITAB. What do the plots show?
Scrap rates per thousand (parts whose defects cannot be reworked) are compared for 5 randomly
selected days at three plants. Does the data prove a significant difference in mean scrap rates?
ScrapRate
Scrap Rate (Per Thousand Units)
Plant A Plant B Plant C
11.4 11.1 10.2
12.5 14.1 9.5
10.1 16.8 9.0
13.8 13.2 13.3
13.7 14.6 5.9
Click here to see answer by beggyjeanlouis(1)  |
Question 466618: You have administered a standardized test of manual dexterity to two groups of 10 semi skilled workers. One of these two groups of workers will be employed by you to work in a warehouse with many fragile items. The higher the manual dexterity of a worker the less likelihood that worker will break significant inventory. Because of a unique contract you must hire all 10 employees from one of the two groups and none of the employees from the other. Group A Scores 63, 79, 64. 83, 87,81, 89, 75, 91, 78 Group B Scores 98, 89, 26, 65, 100, 93, 59, 60, 100, 100. You must decide which group to choose. Choose at least two measures of central tendency and at least one measure of dispersion for each group and use those to make your choice.
Click here to see answer by rfer(16322) |
Question 466673: One probability class of 30 students contains 15 that are good, 10 that are fair, and 5 that are of poor quality. A second probability class, also of 30 students, contains 5 that are good, 10 that are fair, and 15 that are poor. You (the expert) are aware of these numbers, but you have no idea which class is which. If you examine one student selected at ran¬dom from each class and find that the student from class A is a fair student whereas the student from class B is a poor student, what is the probability that class A is the superi¬or class?
i think that P(to chose a fair student from class A) = 10/30 = 1/3,
and P(to chose a poor student from class B) = 15/30 = 1/2.
Now i am not sure how to calculate the P(that A is the superior class)... 1/3 * 1/2 maybe???
thanks a lot
Click here to see answer by sudhanshu_kmr(1152) |
Question 464762: 1.What is the difference between a parametric test and one that is nonparametric?
2.What is the difference between the ANOVA test from last week and the Kruskal-Wallis Test from Chapter 16?
3. Conduct a Kruskal-Wallis Test on the following problem. Be sure to show all steps and explain your conclusion.
The National Turkey Association wants to experiment with three different feed mixtures for very young turkeys. Since no experience exists regarding the three mixtures, no assumptions can be made about the distribution of weights. The Kruskal-Wallis test must be used to test whether the turkeys are equal in weight after eating the feed for a specified length of time. Five young turkeys were given feed A, six were given feed B, and five were given feed C. Test at the .05 level whether the mean weights of the turkeys who ate feed A, feed B, and feed C are equal.
Feed mixture A Feed mixture B Feed mixture C
10.9 10.7 10.6
11.2 10.8 11.3
11.3 11 11.9
12 11.3 12
12.1 12 12.4
12.6
Click here to see answer by studentabc(1) |
Question 466807: Given are five observation for two variables,X and Y
Xi 1 2 3 4 5
Yi 3 7 5 11 14
a- Develop a scatter diagram for these data ?
b- What does the scatter diagram developed in part (a) indicate about the relationship between the two variables ?
c- Try to approximate the relationship between X and Y by drawing a straight line through the data .
d- Develop the estimated regression equation by computing the values of b0 and b1 using equation (1.46)and(1.47) .
e- Use the estimated regression equation to predict the value of Y when X=4 .
Click here to see answer by Edwin McCravy(20054) |
Question 466896: the manager of a nearby cafe found that the cost to produce 100 cups of coffee is $11.02, while the cost to produce 400 cups is $40.12 . Each cup of coffee is sold for 75 cents per cup. Asume the cost c(x) is a linear function od x, the number of cups produced.
How many cups of coffee will the cafe have to sell in order to break even? c(x)= r(x).
How many cups of coffee will need to sold in order to make a profit of 4500? round to the nearst cup?
Click here to see answer by Big Poop(157) |
Question 466898: You just received a shipment of 12 televisions. 4 of the televisions are defective. If 2 televisions are randomly selected, what is the probability of that both televisions work? What is the probability that at least one does not work?
Click here to see answer by Big Poop(157) |
Question 466654: I have worked this one out but I am not sure if the answer is correct. I only get one shot so any assistance helps.
A fair coin is flipped 20 times and the sequence of heads and tails is observed. Find the probability that the sequence consists of AT LEAST two heads. Answer in fraction reduced to the lowest terms.
i said:
1048555/1048576
Refer to the given graph. Assume one can move only down or to the right. If a route starts at A and ends at C, what is the probability that the route passes through B? Answer in fraction reduced to the lowest terms.
a
[][][]b[][]
[][][][][]
[][][][][]
[][][][][]
[][][][][]c
I said c(4,1) but that isn't what it's asking for. Do i need to multiply C(4,1) by c(10,5) to find the probability of passing through b?
Click here to see answer by edjones(8007) |
Question 466920: Five six-sided dice are rolled simultaneously.
a. What is the probability that all dices are alike (i.e. 11111, 22222, etc.)?
b. What is the probability that no two dice are alike (i.e. 12345, 23456, etc.)?
c. What is the probability of a single pair in the outcome (i.e. 11234, 12234, etc.)?
d. What is the probability of two pairs in the outcome (i.e. 11223, 11233, etc.)?
e. What is the probability that there is at least one pair in the outcome?
THANK YOU :)
Click here to see answer by Big Poop(157) |
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11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580, 41581..41625, 41626..41670, 41671..41715, 41716..41760, 41761..41805, 41806..41850, 41851..41895, 41896..41940, 41941..41985, 41986..42030, 42031..42075, 42076..42120, 42121..42165, 42166..42210, 42211..42255, 42256..42300, 42301..42345, 42346..42390, 42391..42435, 42436..42480, 42481..42525, 42526..42570, 42571..42615, 42616..42660, 42661..42705, 42706..42750, 42751..42795, 42796..42840, 42841..42885, 42886..42930, 42931..42975, 42976..43020, 43021..43065, 43066..43110, 43111..43155, 43156..43200, 43201..43245, 43246..43290, 43291..43335, 43336..43380, 43381..43425, 43426..43470, 43471..43515, 43516..43560, 43561..43605, 43606..43650, 43651..43695, 43696..43740, 43741..43785, 43786..43830, 43831..43875, 43876..43920, 43921..43965, 43966..44010, 44011..44055, 44056..44100, 44101..44145, 44146..44190, 44191..44235, 44236..44280, 44281..44325, 44326..44370, 44371..44415, 44416..44460, 44461..44505, 44506..44550, 44551..44595, 44596..44640, 44641..44685, 44686..44730, 44731..44775, 44776..44820, 44821..44865, 44866..44910, 44911..44955, 44956..45000, 45001..45045, 45046..45090, 45091..45135, 45136..45180, 45181..45225, 45226..45270, 45271..45315, 45316..45360, 45361..45405, 45406..45450, 45451..45495, 45496..45540, 45541..45585, 45586..45630, 45631..45675, 45676..45720, 45721..45765, 45766..45810, 45811..45855, 45856..45900, 45901..45945, 45946..45990, 45991..46035, 46036..46080, 46081..46125, 46126..46170, 46171..46215, 46216..46260, 46261..46305, 46306..46350, 46351..46395, 46396..46440, 46441..46485, 46486..46530, 46531..46575, 46576..46620, 46621..46665, 46666..46710, 46711..46755, 46756..46800, 46801..46845, 46846..46890, 46891..46935, 46936..46980, 46981..47025, 47026..47070, 47071..47115, 47116..47160, 47161..47205, 47206..47250, 47251..47295, 47296..47340, 47341..47385, 47386..47430, 47431..47475, 47476..47520, 47521..47565, 47566..47610, 47611..47655, 47656..47700, 47701..47745, 47746..47790, 47791..47835, 47836..47880, 47881..47925, 47926..47970, 47971..48015, 48016..48060, 48061..48105, 48106..48150, 48151..48195, 48196..48240, 48241..48285, 48286..48330, 48331..48375, 48376..48420, 48421..48465, 48466..48510, 48511..48555, 48556..48600, 48601..48645, 48646..48690, 48691..48735, 48736..48780, 48781..48825, 48826..48870, 48871..48915, 48916..48960, 48961..49005, 49006..49050, 49051..49095, 49096..49140, 49141..49185, 49186..49230, 49231..49275, 49276..49320, 49321..49365, 49366..49410, 49411..49455, 49456..49500, 49501..49545, 49546..49590, 49591..49635, 49636..49680, 49681..49725, 49726..49770, 49771..49815, 49816..49860, 49861..49905, 49906..49950, 49951..49995, 49996..50040, 50041..50085, 50086..50130, 50131..50175, 50176..50220, 50221..50265, 50266..50310, 50311..50355, 50356..50400, 50401..50445, 50446..50490, 50491..50535, 50536..50580, 50581..50625, 50626..50670, 50671..50715, 50716..50760, 50761..50805, 50806..50850, 50851..50895, 50896..50940, 50941..50985, 50986..51030, 51031..51075, 51076..51120, 51121..51165, 51166..51210, 51211..51255, 51256..51300, 51301..51345
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