Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 869451: Suppose that in a group of people you find that X percent of people in the group have heights that are greater than the average (that is, the mean) height in that group. Which of the following is a true statement about X?
a) X can be any percentage but less than 100%.
b) X can be any percentage as long as it is less than 50%.
c) X cannot be bigger than 25%.
d) X can be bigger than 25% but cannot be bigger than 50%.
e) X can be bigger than 50% but cannot be as high as 99.9%.
Click here to see answer by ewatrrr(24785)   |
Question 869457: seven slips of paper with the numbers 7 through 13 are placed in a box. after mixng well, two slips are drawn. write a sample with equally likely outcomes and find the probability of two even numbers, two odd numbers, and an even number and a odd number. part of the sample space is (7,8),(7,10),(7,11),(7,12),(7,13),(8,10),(8,11),(8,12),(8,13),(9,11),(9,12),(9,13),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)
Click here to see answer by ewatrrr(24785) |
Question 869519: The average height of a group of children is 122 cm with a standard deviation of 8 cm. Assume the heights to be normally distributed. The percentage of children from this group that will be taller than 132 cm is ________%.
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Question 869533: Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution.
The football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were:
7.2 10.5 9.9 8.2 11.0
7.3 6.7 11.0 10.8 12.4
Determine a 95% confidence interval for the mean time for all players.
Click here to see answer by ewatrrr(24785) |
Question 869530: Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation σ. Assume that the population has a normal distribution. Round the confidence interval limits to the same number of decimal places as the sample standard deviation.
College students' annual earnings: 98% confidence; n = 9, = $3959, s = $886
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Question 869542: Franciscan University, a private Catholic college, only considers the top 10% of students for admittance based on the SAT exam, a standardized test. In one particular year the mean score on this test was 1091 with a standard deviation of 99. What is the minimum score needed to be considered for this University?
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Question 869531: Find the appropriate minimum sample size.
To be able to say with 95% confidence level that the standard deviation of a data set is within 20% of the population's standard deviation, the number of observations within the data set must be greater than or equal to what quantity?
Click here to see answer by ewatrrr(24785) |
Question 869541: A. What is the probability of drawing five royals (either a Jack, Queen, King or Ace) from five blind draws from a standard deck of 52 cards without replacement?
B. Suppose there is there are 23 cards remaining from a standard deck of cards. 10 of the cards are diamonds, and 7 of the cards are hearts, and 4 of the cards are royal diamonds. If a card is blindly drawn from the pack of cards, what is that is the probability that it is a royal card given that it is a diamond?
Need some help plz
Click here to see answer by ewatrrr(24785) |
Question 869536: A white blood cell is or is not a lymphocyte. The probability any one cell is a lymphocyte is 0.15. Suppose 8 white blood cells are randomly chosen.
Is it a binomial distribution or a poisson distribution? I need help to calculate the probability of exactly 4 lymphocytes and calculate the probability of at most 4 lymphocytes. Calculate the mean and standard deviation. Also, use the Range Rule of thumb to determine is exactly 4 lymphocytes is a usual or unusual result.
Thank you,
Click here to see answer by ewatrrr(24785) |
Question 869569: A sample of 500 evening students revealed that their annual incomes were normally distributed with a mean income of $30,000 and a standard deviation of $3,000. How many students earned more than $36,000? Less than $36,000?
Thank you very much. I really appreciate your response
Click here to see answer by ewatrrr(24785) |
Question 869528: Percentage grade averages were taken across all disciplines at a particular university, and the mean average was found to be 83.6 and the standard deviation was 8.7. If 18 classes were selected at random, find the probability that the class average is less than 80.
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Question 869593: On the basis of her experience with clients, a clinical psychologist thinks that depression may interfere with sleep. She decided to test this idea. The sleep of nine depressed patients and eight normal controls is monitored for three successive nights. The average number of hours slept by each subject during the last two nights is shown below:
Hours of sleep Depressed 9.2 7.5 3.9 7.1 6.1 6.6 7.4 7.4 5.9
Control 6.7 6.9 9.5 6.8 7.4 8.2 9.2 6.6
Click here to see answer by Fombitz(32388)  |
Question 869720: A hospital’s records show that the mean time to process a new admission is 18 minutes. Testing a new admission procedure, the hospital recorded the processing time for a random sample of 50 admissions. The results yielded a mean processing time of 16.9 minutes and a variance of 9.4 minutes. Is the new admissions procedure significantly quicker than the existing admissions procedure? Use alpha= 0.01.
Click here to see answer by jim_thompson5910(35256) |
Question 869677: On the basis of her experience with clients, a clinical psychologist thinks that
depression may interfere with sleep. She decided to test this idea. The sleep of nine
depressed patients and eight normal controls is monitored for three successive nights.
The average number of hours slept by each subject during the last two nights is shown
Hours of sleep
Depressed 9.2 7.5 3.9 7.1 6.1 6.6 7.4 7.4 5.9
Control 6.7 6.9 9.5 6.8 7.4 8.2 9.2 6.6
Is the clinician correct? Use α = 0.05 in making your decision.
Click here to see answer by stanbon(75887) |
Question 869778: Lets assume that you have a CPU which takes y microseconds to add 2 floating point numbers and z microseconds to multiply 2 floating point numbers. You have an nxm matrix and an mxp matrix. What is the time taken (in microseconds) to multiply the matrices?
a) It is not possible to multiply them.
b) 100
c) (m*n*p*(y-z))
d) n*p*e^(y+z)
e) (mz+(m-1)*y)*n*p
Click here to see answer by jim_thompson5910(35256) |
Question 869792: 20. The average price for a gallon of gasoline in the United States is $3.73 and in Russia it is $3.40
(Bloomberg Businessweek, March 5–March 11, 2012). Assume these averages are the population means in
the two countries and that the probability distributions are normally distributed with a standard deviation of
$.25 in the United States and a standard deviation of $.20 in Russia.
a. What is the probability that a randomly selected gas station in the United States
charges less than $3.50 per gallon?
b. What percentage of the gas stations in Russia charge less than $3.50 per gallon?
c. What is the probability that a randomly selected gas station in Russia charged more
than the mean price in the United States?
Click here to see answer by ewatrrr(24785) |
Question 869807: The average number of pounds of sugar a person consumes in a year is 210 pounds with a standard deviation of 28 pounds. Assume a normal distribution. What is the probability that a randomly selected person consumems less than 225 pounds of sugar in a year?
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Question 869776: an investor plans to put rm50000 in one of four investments. the return on each investment depends on whether next year's economy is strong or weak. table 3 summarizes the payoffs(in rm) for the four investment.
investment strong weak
certificate of deposit 6000 6000
office complex 15000 5000
land speculation 33000 -17000
technical school 5500 10000
let v, w, x, and y denote the payoffs for the certificate of deposit, office complex, land speculation, and technical school, respectively. then v,w,x,and y are random variables. assume that next year's economy has 40% a chance of being strong a 60% chance of being weak. which investment would you suggest for the investor? justify your answer?
Click here to see answer by ewatrrr(24785) |
Question 869817: A box contains 10 items, of which 3 are defective and 7 are non-defective. Two items are randomly selected, one at a time, with replacement, and x is the number of defectives in the sample of two. Explain why x is a binomial random variable.
Click here to see answer by Fombitz(32388) |
Question 869774: An urn contains 10 marbles, each of which shows a number. Five marbles show 1,two marbles show 2 and three show 3.
A marble is drawn at random. If x is the number that shows find the followings:
The probability distribution and the cumulative distribution of the random variable x.
p(1≤x≤3),p(x<3) .
Find the mean of the random variable X.
Calculate the variance and standard deviation of the random variable X.
Click here to see answer by Fombitz(32388) |
Question 869831: A hundred people were asked, "Do you favor the death penalty?" Of the 33 people who answered in the affirmative, 14 were male. Of the 67 who answered in the negative, 6 were male. If one person is selected at random, what is the probability that this person answered in the affirmative or was a male?
Click here to see answer by ewatrrr(24785) |
Question 869839: Nicole missed the lesson on normal distribution and needs to do her homework. Explain to Nicole how to use the mean and standard deviation of a normal distribution to determine the top 5% of the population.
Click here to see answer by ewatrrr(24785) |
Question 869833: A soda machine dispenses normally distributed amounts of soda with a mean of 20 ounces and a standard deviation of 0.2 ounce. Are you more likely to randomly select one bottle with more than 20.3 ounces, or are you more likely to select a sample of eight bottles with a mean amount of more than 20.3 ounces? Explain.
Click here to see answer by ewatrrr(24785) |
Question 869822: Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Suppose 650 couples have a baby each; find the mean and the standard deviation for the number of girls in the 650 babies.
Click here to see answer by ewatrrr(24785) |
Question 869820: In a large city, the time taken to travel to work is normally distributed with a mean, and standard deviation. It is found that 4% of the population takes less than 5 minutes to get to work, and 70% take less than 25 minutes.
Find the value of the mean and standard deviation.
Click here to see answer by ewatrrr(24785) |
Question 869773: Suppose that in a group of people you find that X percent of people in the group have heights that are greater than the median height in that group. Which of the following is a true statement about X?
a) X can be any percentage but cannot be equal to 100%.
b) X can be any percentage.
c) X cannot be bigger than 25%.
d) X is approx. 50%
e) X is approx. 75%
Click here to see answer by ewatrrr(24785) |
Question 869675: A hospital’s records show that the mean time to process a new admission is 18
minutes. Testing a new admission procedure, the hospital recorded the processing
time for a random sample of 50 admissions. The results yielded a mean processing
time of 16.9 minutes and a variance of 9.4 minutes. Is the new admissions procedure
significantly quicker than the existing admissions procedure? Use α = 0.01.
Click here to see answer by ewatrrr(24785) |
Question 869861: In a recent survey, 90 percent of the community favored building a police substation in the neighborhood. You randomly select 16 citizens and ask each if he or she thinks the community needs a police substation. Decide whether you can use the normal distribution to approximate the binomial distribution. If so, find the mean and the standard deviation. If not, explain why.
Click here to see answer by ewatrrr(24785) |
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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, 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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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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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