Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 752474: please i need urgent help with finding the probability of complementary events
P(E Union M) = 0,85; P(E)= 0,65 and P(M) = 0.55
how can i find the P[M(complement) Union E) and P[M(complement) Intersection E(complement)]? it is not stated that the elements are mutually exclusive or independent. Thanks for the help.
Click here to see answer by stanbon(75887)  |
Question 752399: A builder has 8 lots available for sale.
* 6 lots are greater than one acre
* 2 lots are less than one acre
What is the probability that the next three lots sold will be greater than one acre?
a. 3/4 b. 15/28 c. 27/64 d. 5/14
Click here to see answer by stanbon(75887) |
Question 752398: There are 3 black marbles and 4 red marbles in a bag. Trevor will take out 2 marbles without looking.
A. What is the probability that both marbles will be black?
Show your work.
B. Suppose that Trevor takes out 1 marble, replaces it in the bag, then takes out another marble. What is the probability that both marbles will be black in this situation? Show your work.
Click here to see answer by stanbon(75887) |
Question 752397: A cafeteria has 5 turkey sandwiches, 6 cheese sandwiches, and 4 tuna sandwiches. There are two students in line and each will take a sandwich. What is the probability that the first student takes a cheese sandwich and the next student takes a turkey sandwich?
a. 1/7 b. 1/14 c. 2/15 d. 2/21
Click here to see answer by stanbon(75887) |
Question 752301: 1. A baseball pitcher has only three pitches: a fast ball, a curve ball, and a
knuckle ball. As the pitcher warms up before an inning, she wants to throw a
fast ball 7 times, a curve ball 2 times, and a knuckle ball 3 times. How many
different ways can this be done.
2. A teacher has 7 boys and 11 girls in her class. In how many ways can she select
8 of the children to be in a play if she must select 4 boys and 4 girls.
Click here to see answer by stanbon(75887) |
Question 752626: A pack of cards consist of 4 types of cards, diamond, hearts, spades , clubs. Each pack contains 13 diamonds, 13 hearts, 13 spades and 13 clubs in the total of 52 cards. There are 26 red and 26 black cards, diamonds and hearts are the red cards and spades and clubs are the black cards. In any one of the 4 types there are 9 numbered cards, numbered 2,3,4,5,6,7,8,9, a jack and a quen, a king and a ace, if a card is drawn from the pack it can be a combination of the above.
given the infor, what is the probability that
A) a red card will be drwn
B) a spade card will be drawn
C) a Ace will be drawn
D) A jack of hearts will be drawn
Click here to see answer by stanbon(75887) |
Question 752596: End of Section Problem 9.11A
A random sample of size 20 is taken, resulting in a sample mean of 15.46 and a sample standard deviation of 4.58. Assume x is normally distributed and use this information and α = .05 to test the following hypotheses.
Round your answer to 2 decimal places, the tolerance is +/-0.01.
The value of the test statistic is ______________ and we ______________.
Click here to see answer by stanbon(75887) |
Question 752595: Hi there.
I'm running 9 trials with 5 possible results -- A,B,C,D, and E -- on each trial.
How would I calculate the odds of Either A or B showing up at least 6 times?
I tried .4^6 * 1^3 = ~ .4% which seems too low.
Total number of combinations is 5^9 -- 1953125. Total combinations with at least 6 A or B seems to be 2^6 * 5^3 -- 8000. Again leads to .4% Is it really that low or am I missing something?
Click here to see answer by stanbon(75887) |
Question 752732: Can you please help assist me with problem I am having a hard time.
8) A marketing research company is estimating which of two soft drinks college students prefer. A random sample of n college students produced the following 90% confidence interval for the proportion of college students who prefer drink A: (. 406, . 586). Identify the point estimate for estimating the true proportion of college students who prefer that drink.
A) .0 9 B) . 406 C) . 586 D) . 496
Click here to see answer by stanbon(75887) |
Question 752740: A variable X has a mean of 185.5 and a standard deviation of 21.4. A random sample of size 67 is selected. Assuming X is normally distributed, what is the probability, to two decimal places, that the sample mean exceeds 200?
Click here to see answer by stanbon(75887) |
Question 752722: 1. Suppose that 20% of the M&M's are red
a) what is the probability that in a sample of 20 randomly selected M&M's,exactly 5 are red?
I assume that there are 100 M&M's because the question says 20% of the M&M's are red. I know that it is dependent because getting one red will affect the chances of getting another red, because there's no replacement. So the probability would be (20/100)(19/99)(18/98)(17/97)(16/96), but that's for the population and not for the sample.
Click here to see answer by stanbon(75887) |
Question 752702: The assembly of clock radios requires each radio to pass through 3 distinct process -A, B and C- which operate independently of one another. In each process, the probability of performing the required task incorrectly is .04; this results in defect in the radio from that particular process. At most, a radio can have only 3 defects (one from each of the 3 processes).
If an assembled radio is selected at random, what is the probability that the radio will have at least one defect? (Round your answer to 3 decimal places.)
Click here to see answer by stanbon(75887) |
Question 752670: Use the following table which contains data from a study of three airlines which fly to Small Town, USA.
Number of flights ON TIME | Number of LATE FLIGHTS
Podunk Airlines | 33 | 6
Upstate Airlines | 43 | 5
Sargasso Airlines | 26 | 10
- One of the flights is randomly selected, find the probability that the flight sleeted arrived late.
- One of the flights is randomly selected; find the probability that the flight selected is not a upstate airline flight.
- One of the flights is randomly selected; find the probability that the flight selected arrived on time or is a Podunk airlines flight.
- One of the flights is randomly selected, find the probability that the flight selected arrived late and is a Sargasso airlines flight.
- One of the flights is randomly selected, find the probability that the flight selected arrived on time given that it was an upstate airlines flight.
Click here to see answer by stanbon(75887) |
Question 752817: (a) A class has 10 boys and 5 girls. Three students are selected at random one after another. Find the probability that (i) first two are boys and third is girl (ii) first and third are of same sex and the second is of opposite sex.
Click here to see answer by stanbon(75887) |
Question 752808: A class has 10 boys and 5 girls. Three students are selected at random one after another. Find the probability that (i) first two are boys and third is girl (ii) first and third are of same sex and the second is of opposite sex.
Click here to see answer by stanbon(75887) |
Question 752931: Hello, I am stuck on this word problem and was hoping you could help me out here.
I am usually pretty good with these sorts of problems, but I cannot get the formula to work right here.
Of the 65 students going on the soccer trip, 43 are players and 12 are left-handed. Only 5 of the left-handed students are soccer players. What is the probability that one of the students on the trip is a soccer player or is left-handed.
Click here to see answer by jim_thompson5910(35256) |
Question 752937: I am in need of help please.
Suppose you are told that a 95% confidence interval for the average price of a gallon of regular gasoline in your state is from $3.15-$ 3.45. Use the fact that the confidence interval for the mean has the form X-E to x+E to compute the sample mean and the maximal margin of error E.
Thank you-
Click here to see answer by jim_thompson5910(35256) |
Question 752938: Student Scores:
53, 57, 59, 60, 60, 60, 61, 61, 62, 62, 62, 62, 63, 63, 65, 65, 65, 66, 67, 67, 68, 68, 68, 69, 71, 71, 71, 72, 72, 73, 73, 73, 73, 74, 74, 74, 75, 75, 75, 75, 75, 75, 75, 76, 76, 76, 76, 77, 77, 78, 78, 78, 78, 78, 79, 79, 79, 80, 81, 82, 82, 83, 84, 85, 85, 85, 86, 87, 88, 88, 88, 89, 90, 93, 93, 94, 95, 95, 96, 97
If the passing score is 70 points and 5 students are picked at random, find the probability that:
a) all 5 fail
b) only 2 fail
c) only 2 pass
d) all 5 pass
e)their score is between 90 and 95 points
Click here to see answer by Edwin McCravy(20054)  |
Question 752964: I have zero idea what this question is even asking me and really need some help.Thank you
Three experiments investigating the relation between need for cognitive closure and persuasion were performed. Part of the study involved administering a "need for closure scale" to a group of students enrolled in an introductory psychology course. The "need for closure scale" has scores ranging from 101 to 201. For the 73 students in the highest quartile of the distribution, the mean score was x = 178.70. Assume a population standard deviation of σ = 7.81. These students were all classified as high on their need for closure. Assume that the 73 students represent a random sample of all students who are classified as high on their need for closure. How large a sample is needed if we wish to be 95% confident that the sample mean score is within 2 points of the population mean score for students who are high on the need for closure?
Click here to see answer by stanbon(75887) |
Question 753107: In Cleveland, a sample of 73 mail carriers showed that 10 had been bitten by an animal during one week. In Philadelphia, in a sample of 80 mail carriers, 16 had received animal bites. Is there a significant difference in the proportions? Use α=0.05. Find the 95% confidence interval for the difference of the two proportions.
Click here to see answer by reviewermath(1029)  |
Question 753184: I got 15.7 for A, but am not sure how to figure out B and need some assistance please and thank you
Sherds of clay vessels were put together to reconstruct rim diameters of the original ceramic vessels at the Wind Mountain archaeological siteā . A random sample of ceramic vessels gave the following rim diameters (in centimeters).
15.9 13.4 22.1 12.7 13.1 19.6 11.7 13.5 17.7 18.1
(a) Use a calculator with mean and sample standard deviation keys to verify that x=15.8cm and s=3.5cm
(b) Compute a 80% confidence interval for the population mean ? of rim diameters for such ceramic vessels found at the Wind Mountain archaeological site.
Click here to see answer by reviewermath(1029) |
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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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