Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 932550: The following measurements for a sample with dimension X are representative of a process known to be in statistical control 42, 52, 64, 45, 53, 56, 70, 57, 49, 62.
what is the best approximates the upper and lower control limits of the process capability?
Click here to see answer by Fombitz(32388)   |
Question 932887: Let A and B be two events, with probabilities P(A) = 0,6, and P(B) =
0,2. Calculate the following probabilities: P(A' ), P(AUB), P(A intersection B), P(AIB),
P(BIA), if:
(1) A and B are mutually exclusive (disjoint).
(2) A and B are independent.
(B) If A, and B are two events, where P(A) = k, P(AUB) = 0,5, P(B) = 0,33:
(1) Find k, if A and B are independent.
(2) Find k, if A and B are mutually exclusive (disjoint).
Click here to see answer by ewatrrr(24785)  |
Question 932919: Boys and girls. Alice and Bill are planning to have three children. (Assume it is equally likely for a boy or a girl to be born.) Give the probability as a decimal.
The Probability that all three children will be the same gender is ?
Click here to see answer by ewatrrr(24785) |
Question 932961: A die has faces that are numbered: 1, 1, 2, 2, 3, 6
(i) A game consists of throwing the die two times.
1. Draw a table to list the outcomes when the die is rolled twice the
two scores added to give a total score.
2. Calculate the probability that the total score on the two dice is:
I. 7,
II. greater than 5,
III. an even number,
IV. less than 4,
V. a multiple of 3.
(ii) Paul rolls a die 300 times. Using a Binomial model,
1. determine how many sixes would you expect him to obtain.
2. find the probability that he obtained 55 sixes.
Click here to see answer by ewatrrr(24785) |
Question 932808: assume the annual day care cost per child is normally distributed with a mean of $9000 and a standard deviation of $2000. in a random sample of 110 families, how many pay more than $6560 annually for day care per child?
Click here to see answer by ewatrrr(24785) |
Question 932992: A random sample of 10,000 people was chosen for a survey. 2% of them owned horses. find 95% confidence interval. Use standard deviation: sqrt(p(1-p)/n). Round your answers to 3 significant digits. Give the lowest and highest values of the confidence interval separated by a dash.
Click here to see answer by ewatrrr(24785) |
Question 932878: Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution. (Hint: Probability Distributions; Expected Value)
two dice are rolled and the total number of points is recorded. Solve
Click here to see answer by ewatrrr(24785) |
Question 932762: The Metropolitan Bus Company claims that the mean waiting time for a bus during rush hour is less than 8 minutes. A random sample of 20 waiting times has a sample mean of 6.5 minutes with a sample standard deviation of 2.1 minutes. At α = 0.01, test the bus company's claim. Assume the distribution is normally distributed.
a) Test type: 1 sample proportion 1 sample z-Test 1 sample t-Test
2 sample proportion 2 sample t-Test paired t-Test
b) Hypotheses: : claim
: claim
c) Critical value: α = t z critical = ___ ______
Test statistic: p-value = t z statistic = _____ ____
d) Determination: p-value < > α, so reject fail to reject
e) Conclusion: There is sufficient insufficient evidence at the α = level
to support reject the claim of...
Click here to see answer by ewatrrr(24785) |
Question 932712: (1) find the odds for an event E, when Pr(E) =1/4
(2) find the odds against an event E, when Pr(E)=5/6
(3) find the probability of an event when the odds for the event are 6:4
Help me to understand, please
Click here to see answer by ewatrrr(24785) |
Question 933052: The scores on a sociology exam are normally distributed with a mean of 70 and a standard deviation of 10. If the instructor assigns As to 15%, Bs to 25%, Cs to 40%, Ds to 15%, Fs to 5% of the class, find the cutoff point for grades A-D.
Click here to see answer by stanbon(75887) |
Question 933036: A faculty council contains nine members, three men and six women. If two members are selected at random from the faculty council to fill vacancies on the technology committee, what is the probability that both will be women?
Click here to see answer by stanbon(75887) |
Question 932828: 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 82 students in the highest quartile of the distribution, the mean score was x = 176.90. Assume a population standard deviation of σ = 7.85. These students were all classified as high on their need for closure. Assume that the 82 students represent a random sample of all students who are classified as high on their need for closure. Find a 95% confidence interval for the population mean score μ on the "need for closure scale" for all students with a high need for closure. (Round your answers to two decimal places.)
lower limit
upper limit
Click here to see answer by stanbon(75887) |
Question 932983: Given a one-way ANOVA, and given the sum of squares for error is 28, the sum of squares between treatments is 86, the mean square error is 7, and the mean square between treatments is 21.5, compute the F-statistic?
Click here to see answer by Theo(13342)  |
Question 933076: you are planning to travel for a business trip. you have six shirts, one is blue, one red, one is yellow, one is green, one is black and the last one is also black. if you have to take with you exactly three shirts with distinct colors, how many different choices do you have? can u guide me through it, instead of giving me the answer. how do i go about solving this question
Click here to see answer by ewatrrr(24785) |
Question 933215: Please can someone help me I have been trying for hours!
A college entrance exam has a mean of 1400 and standard deviation of 200. A college will only accept the top 2.5% or higher. What is the lowest score they need on the exam?
Can someone please help and show the formula! I would appreciate it so much!
Click here to see answer by ewatrrr(24785) |
Question 933271: a college entrance exam has a mean of 1200 and a standard deviation of 100. They will only accept applicants in the 90% percentile or higher. What is the lowest score they would need on the entrance exam?
Please help! I think I have the answer and want to check my work.
Click here to see answer by jim_thompson5910(35256) |
Question 933290: Suppose you live in the rural area near a metropolitan city. You have
two alternative driving routes A and B to get to the airport. Route A goes through highways where your driving time is a Normal random variable with mean µ= 40 minutes and standard
deviation σ=3 minutes. Route B goes through single-lane rural road sometimes shared with
slow moving agricultural vehicles. Your driving time along route B is a Normal random
variable with mean µ = 40 minutes and standard deviation σ = 5 minutes.
One day you have exactly 35 minutes to catch a flight. If you take more than 35 minutes, you
WILL miss the flight. Which route will you take? A or B? Show all your work and calculations
to explain your answer.
Click here to see answer by Theo(13342) |
Question 933297: State whether each boldface number in the following statements is a
parameter or a statistic.
(a) A telemarketing firm in Toronto uses a device that dials residential telephone numbers in
that city at random. Of the first 100 numbers dialed, 43 were unlisted. This is not surprising,
because 52% of all Toronto residential phones are unlisted.
Choose one: 43 is (i) a statistics (ii) a parameter
Choose one: 52% is (i) a statistics (ii) a parameter
(b) A survey of 1000 Canadians found that 65% of the people surveyed believe that global
warming is really happening. On the other hand, a survey of 1000 Americans found that 40% of
the people surveyed believe in global warming.
Choose one: 65% is (i) a statistics (ii) a parameter
Choose one: 40% is (i) a statistics (ii) a parameter
(c) You volunteer for door-to-door fund-raising campaign for your favourite charity. The central
office of the charity tells you that 65% of Canadians donate money when approached
personally. On your first day, 30 of the 50 homes that you go to donate some money. The
mean amount they donated per household is $20.
Choose one: 65% is (i) a statistics (ii) a parameter
Choose one: 30 is (i) a statistics (ii) a parameter
Choose one: $20 is (i) a statistics (ii) a parameter
(d) The charity office in part (c) also tells you that Canadians donate on average an amount of
$25 when approached personally.
Choose one: $25 is (i) a statistics (ii) a parameter
Click here to see answer by ewatrrr(24785) |
Question 933279: In a psychology class of 60 students there are 15 males and 45 females. Of the men 15, only 5 are freshmen. Of the 45 women, 20 are freshmen. If you randomly simple and individual from this class,
a) What is the probability of obtaining a female?
b) What is the probability of obtaining a freshman?
c) What is the probability of obtaining a male freshman?
Click here to see answer by ewatrrr(24785) |
Question 933455: Suppose a researcher is studying a population that has a mean of µ = 38.6 and a standard deviation of = 1.1. Round your answer to the nearest thousandth if needed.
The researcher studies a simple random sample of size n = 200. According to the central limit theorem, what is the approximate standard deviation of the sampling distribution of the mean?
Click here to see answer by jim_thompson5910(35256) |
Question 933536: A financial magazine was asked to obtain a list of 10 randomly selected upper management
personnel in Canada. If 15% of upper management are women
What is the probability that there are 6 men’s names on the list?
Click here to see answer by Theo(13342) |
Question 933566: please help me solve this question.
a random sample of 40 shoppers showed that they spend an average of 23.45$ per visit at the saturday mornings bookstore. the standard deviation of the sample is 2.80$.find the 98% confidence interval of the true mean? find the 95% confidence interval of the true variance?
Click here to see answer by Theo(13342) |
Question 933564: please help me solve this question.
100 disks made of polycarbonate plastic from a supplier area analyzed for scratch and shock resistance, and 21 disks that have low scratch resistance, 16 have high shock resistance.is a disk is selected at random, what is the probability that its scratch resistance is high or its shock resistance is high? consider the event that a disk has high scratch resistance and the event that a disk has high shock resistance.are these two events independent? explain answer.
Click here to see answer by stanbon(75887) |
Question 933559: please help me solve this question.
a group of students have three desktop computers and three laptop computers. they want to select two computers at random for a course project. Let X be the number of laptop computers in the selection.how many ways can the students select two computers from six? what is the probability of selecting X=2 laptop computers? construct a probability distribution table for X? find the variance of X?
Click here to see answer by stanbon(75887) |
Question 933544: Samples of a new drink are handed out at random from a cooler holding 5 citrus drinks,3 apple drinks,and 3 raspberry drinks.What is the probability that an apple drink and then a citrus drink are handed out?
Click here to see answer by stanbon(75887) |
Question 933491: For a normal distribution with µ = 500 and σ = 100, find the following values:
a. What X value separates the highest 10% of the distribution from the rest of the scores?
b. What X values form the boundaries for the middle 60% of the distribution?
c. What is the probability of randomly selecting a score greater than X = 475?
Click here to see answer by stanbon(75887) |
Question 933627: 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:
Above .10?
Below .10?
Above .20?
Below .20?
Above 1.10?
Below 1.10?
Above -.10?
Below -.10?
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, 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, 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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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