Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 841025: A factory produces 28,000 computer monitors per day. The manager of the factory claims that fewer than 870 defective computer monitors are produced per day. In a random sample of 200 computer monitors, there are 3 defective computer monitors. Determine whether or not the manager's statement is likely to be true. Explain.
Click here to see answer by richwmiller(17219)   |
Question 841053: A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course.
a.) Compute the probability that 2 or fewer will withdraw (to 3 decimals).
b.) Compute the probability that exactly 4 will withdraw (to 4 decimals).
c.) Compute the probability that more than 3 will withdraw (to 4 decimals).
d.) Compute the expected number of withdraws.
Click here to see answer by ewatrrr(24785)  |
Question 841050: The time taken to complete a statistics final by all students is normally distributed with a mean of 120 minutes and a standard deviation of 10 minutes.
a) Find the probability that a randomly selected sample will take more than 150 minutes to complete the test.
b)Find the probability that the mean time taken to complete the test by a random sample of 16 would be between 122 and 126.
Click here to see answer by ewatrrr(24785) |
Question 841094: An April 15, 2002 report in Time Magazine stated that the average age for women to marry in the United States is now 25.1 years of age. If the standard deviation is assumed to be 4.7 years, find the probability that a random sample of 31 U.S. women would show a mean age at marriage of less than or equal to 23.9 years. (Give your answer correct to four decimal places.)
Click here to see answer by reviewermath(1029)  |
Question 841178: Among 21- to 25-year-olds, 29% say they have driven while under the influence of alcohol. Suppose that three 21- to 25-year-olds are selected at random. What is the probability that at least one has driven while under the influence of alcohol?
What are the steps to finding this answer?
Click here to see answer by reviewermath(1029) |
Question 841170: In playing Monopoly, rolling doubles three times in a row sends you to jail. If you roll the dice 100 times over the course of a game, what is the probability that you will have rolled doubles, at any point, exactly three times
Click here to see answer by stanbon(75887) |
Question 841135: Suppose that a library has two computer labs. Lab-A contains 50 PC's and Lab-B contains 30 PC's. Nine of the Lab-A PC's and 4 of the Lab-B PC's have been infected with spyware. A sample of PC's will be inspected to check for spyware.
a. Suppose 8 Lab-A PC's are randomly drawn. What is the probability that none of the PC's in the sample is infected?
b. Suppose 8 Lab-B PC's are randomly drawn. What is the probability that none of the PC's in the sample is infected?
c. Suppose 4 Lab-A PC's are randomly drawn, and a separate random sample of 4 Lab-B PC's is drawn. What is the probability that none of the PC's in either sample is infected?
d. Suppose that from a combined list of all 80 Lab-A and Lab-B PC's, 8 PC's are randomly drawn. What is the probability that none of the PC's in this sample is infected?
I think this would be a Hypergeometric distribution but i dont know where to begin. im thinking the sample space will be 80 but im not sure about the others.
Click here to see answer by stanbon(75887) |
Question 841281: Due to a manufacturing error, four cans of regular soda were accidentally filled with diet soda and placed into a 24-pack. Suppose that two cans are randomly selected from the 24-pack. Determine the probability that both contain diet soda. What are the steps involved?
Click here to see answer by Fombitz(32388)  |
Question 841308: how to determine the following areas under the standard normal curve? show solutions.
a. area to the right of z = 2.32
b. area to the right of z = -1.58
c. area to the left of z = 1.76
d. area to the left of z = 0.94
e. area between z1 =-1.09 and z2= 2.27
f. area between z1= 1.15 and z2= 2.28
g. area between z1=-0.45 and z2= -2.11
Click here to see answer by ewatrrr(24785) |
Question 841348: if the possible values for x are 0,1,2,3,4,5 and the corresponding values for p(x) are .2,.2,.15,.3,.35,.2,.1 respectively, does p(x) qualify as a probability function
Click here to see answer by Fombitz(32388) |
Question 841355: {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,34,25,26}
Find the probability of getting the numbers 3, 25, 11, 17 and 9 in that order in five consecutive numbers if the numbers were generated without replacement
Click here to see answer by ewatrrr(24785) |
Question 841486: An April 2004 article on HearTheIssues.com stated that Americans have an average of 2.13 televisions per household. If the standard deviation for the number of televisions in a U.S. household is 1.6 and a random sample of 71 American households is selected, the mean of this sample belongs to a sampling distribution.
What is the standard deviation of this sampling distribution? (Give your answer correct to three decimal places.)
Click here to see answer by reviewermath(1029) |
Question 841548: in a political science class of students, favor abolishing the electoral college and thus electing the president of the United States by popular vote. If two students are selected at random from this class, what is the probability that both of them favor abolition of the electoral college?
Round your answer to four decimal places.
Click here to see answer by edjones(8007)  |
Question 841398: A safety inspector has found that 20% of all ladders she has checked did not meet government standars. If each ladder was an independent trial, what is the probability that 7 or more ladders would not meet government standards if 12 ladders were inspected?
A State of Indiana Lotto ticket pays winners $0, $5, $15, or $5000 with probabilities of 0.98, 0.01, 0.005 and 0.005 respectively. The expected value of this ticket is ____________?
Click here to see answer by stanbon(75887) |
Question 841365: {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,34,25,26}
Randomly getting the numbers 3, 25, 11, 17 and 9 in any order in five consecutive numbers. What rule is needed for this problem? How many trials is this?
Click here to see answer by stanbon(75887) |
Question 841283: Conduct a test to determine whether or not the population proportion of voters in favor of proposal A is greater than 50%. In a random sample of 200 voters, 140 said that they were in favor of this proposal. Compute the test statistic.
Please provide steps to arrive at the answer.
Click here to see answer by stanbon(75887) |
Question 841601: In a survey of 300 college graduates, 61% reported that they entered a profession closely related to their college major. If 8 college graduates are randomly selected, what is the probability that 5 of them entered a profession closely related to their college major? Round your answer to the nearest thousandths place.
Click here to see answer by ewatrrr(24785) |
Question 841610: Joe's job is to provide technical support to computer users. Suppose the arrival of calls can be modeled by a Poisson distribution with a mean of 9.5 calls per hour. What's the probability that in the next 10 minutes there will be 3 or more calls? Round your answer to the nearest thousandths place.
Click here to see answer by ewatrrr(24785) |
Question 841609:
The number of calls received by a car towing service follows the poisson distribution and averages 16 per day (24-hour period). After finding the mean number of calls per hour, find the probability that in a randomly selected hour the number of calls is 3. Round your answer to the nearest thousandths place.
Click here to see answer by ewatrrr(24785) |
Question 841691: A certain model of remote-control garage door opener has nine binary (off/on) switches. The homeowner can set any code sequence. How many separate codes can be programmed? If you try to use your door opener on 1,000 other garages, how many times would you expect to succeed? (Round your answer to nearest integer.)
Click here to see answer by stanbon(75887) |
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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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