Questions on Algebra: Probability and statistics answered by real tutors!

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Question 844792: in how many ways can we pick a first, second, and third card from a deck of 54 playing cards if no cards is replace? if replacement is allowed?
Click here to see answer by stanbon(75887) About Me 

Question 844750: when it states "Find the
probability that the resulting estimate will lie within 2 units of the true value."
what does the true value part mean?
thank you

Click here to see answer by rfer(16322) About Me 

Question 844785: I have three numbers. the sum of the first two minus the third is -1. The sum of the first and third is minus the second is 13. The sum of all three numbers is 17. What are my numbers?
Click here to see answer by pmesler(52) About Me 

Question 844876: The probability that an open-heart operation is successful is 0.83 What is the probability that in two randomly selected open-heart operations at least one will not be successful?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 844856: A clothing manufacturer has two rolls of cloth. One roll is 61 and 3/4 yards, and the other is 37 and 7/8 yards. What is the total number of yards in the two rolls?
Click here to see answer by Cromlix(4381) About Me 

Question 844860: In a recent poll, 45% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. Suppose you conducted a survey of 190 randomly selected students on your campus and find that 86 of them would prefer a boy.
a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 190 students, at least 86 would prefer a boy, assuming the true percentage is 45%.
b) Does this result contradict the poll? Explain

Click here to see answer by Theo(13342) About Me 

Question 844937: Two cards are drawn in succession from a standard 52 card deck. What is the probability that both cards are red
If the cards are drawn without replacement
IF the cards are drawn with replacement

Click here to see answer by Fombitz(32388) About Me 

Question 844909: A bag contains 6 red, 3 black and 6 white balls. A ball is selected at random from the bag.
Find the probability that the selected ball is :
(a) red or black
(b) not black

Click here to see answer by Fombitz(32388) About Me 

Question 844959: I was wondering if someone could help me figure out how to solve this problem...
Of the physics graduates of a university, 30% received a starting salary of $30,000 or more. If 5 of the graduates are selected at random, find the probability that all had a starting salary of $30,000 or more.

Click here to see answer by Fombitz(32388) About Me 

Question 844984: the probability for a randomly chosen month to have its 10th day as sunday is
Click here to see answer by Fombitz(32388) About Me 

Question 844996: If the null hypothesis specifies that men and women are equally likely to attend graduate school,then among a random sample of 200 graduate students, the expected frequency of women equals
a)50%
b)50
c)100
d)200

Click here to see answer by ewatrrr(24785) About Me 

Question 844992: Richard has just been given a 8-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all eight questions, find the indicated probabilities. (Round your answers to three decimal places.)
I dont understand Help PLEASE!!!

Click here to see answer by richard1234(7193) About Me 

Question 845018: A sample of 149 values is randomly selected from a population with mean, μ, equal to 43 and standard deviation, σ, equal to 16. (Give your answers correct to one decimal place.)
(a) Determine the interval (smallest value to largest value) within which you would expect 99.7% of such sample means to lie.

Click here to see answer by ewatrrr(24785) About Me 

Question 845016: Three group of children contains respectively 3 girls & 1 boy; 2 girls & 2 boys; 1girl & 3 boys. One child is selected at random from each group. Find the chance of selecting 1 girl & 2 boys
Click here to see answer by ewatrrr(24785) About Me 

Question 845025: A family consisting of three people-P1,P2,andP3-belongs to a medical clinic that always has a physician at each of stations 1,2 and 3. During a certain week, each memeber of the family visists the clinic exactly once and is randomly assigned to a station. One experimental outcome is (1,2,1) which means that P1 is assigned to station 1, P2 is assigned to station 2, and P3 is assigned to station 1.
i) List the 27 possible outcomes.
ii) List all outcomes in the event A that all three people go to the same station.
iii) List all outcomes in the event B, that all three people go different stations.
iv) List all outcomes in the event C, that no one goes to station 2.
v) Identify outcomes in each of the following events: Bc, Cc, A ∪ B, A ∩ B, A ∩ C.

Click here to see answer by Fombitz(32388) About Me 

Question 844896: an urn contains 4 black marbles, 3 red marbles, and 5 green marbles. Three marbles are selected without replacement. Find the probability that at least one red marble is selected
Click here to see answer by Fombitz(32388) About Me 

Question 845049: A card is picked from a pack of ordinary 52 playing cards. What is the probability of
getting a picture card (jack, queen or king)? Give your answer as a fraction in its simplest
terms.

Click here to see answer by Fombitz(32388) About Me 

Question 845053: Your store sees a mean of 7 customers per hour. What is the probability that 5 customers come into the store in the next hour? (round to 2 decimals) Do not enter your answer as a percentage.
Click here to see answer by ewatrrr(24785) About Me 

Question 845027: Provewithavenndiagramthatboth(A∪B)c =Ac∩Bc and(A∩B)c =Ac∪Bc
Click here to see answer by richard1234(7193) About Me 

Question 845104: In a large bag of marbles,35% of them are red. A child chooses 4 marbles from this bag. If the child choose the marbles at random, what is the chance that the child gets exactly three marbles?
Click here to see answer by Fombitz(32388) About Me 

Question 845147: 1. West Side Wanda's sells fried chicken pieces, and William has determined that, of those who buy chicken, the distribution of sales is as follows
Pieces / Probability
1 / 0.3
2 / 0.5
3 / 0.2

a) What is the mean number of pieces sold per person?
b) What is the standard deviation of the number of pieces sold?
c) If each piece of chicken sells for $1.50, what is Wanda's mean sales value per person?

Click here to see answer by ewatrrr(24785) About Me 

Question 845125: Mrs. Moore's class is conducting an experiment to find the probability of pulling certain colors from a bag of 25 marbles. If 2 are purple, 2 are yellow, 7 are green, and the rest are black, what is the probability of drawing 2 black if the marbles are not replaced after they are picked? Show answer as a percent rounded to nearest hundredth, if necessary.
Click here to see answer by pmesler(52) About Me 

Question 845172: A local manufacturer is considering adding another shift. There are seven machine operators who are qualified to work the new shift. If the company puts together a team of 3 operators, how many possible groups can be scheduled to work the new shift?

Click here to see answer by ewatrrr(24785) About Me 

Question 845278: if there are 11 households that have a tv, what is the probability that at least one of them is watching a certain show?
Click here to see answer by richwmiller(17219) About Me 

Question 845400: in a set 50 numbers, if the average of the first 25 numbers is 16, next 10 numbers is 15 and the rest is 20, then what is the average of the entire set?
Click here to see answer by Fombitz(32388) About Me 

Question 845517: is it possible for the probability to be 8.12 x 10^4
Click here to see answer by ewatrrr(24785) About Me 

Question 845532: if 62.5% of my grade I'm on 63.4 what do I need in the remaining 37.5% of my grade to get an overall 70?
Click here to see answer by ewatrrr(24785) About Me 

Question 845776: If you roll a die 43 times and 7 of the rolls result in a 5, what empirical probability was observed for the event "5"
Click here to see answer by richard1234(7193) About Me 

Question 845903: What is the probability that the next child of the Harrison family will be a boy (giving them 14 boys in a row)? (Assume that the probability of having a boy or a girl is the same.)
Click here to see answer by fcabanski(1391) About Me 

Question 845896: The probability that a bomber hits its target on any particular mission is .80. Four Bombers are sent after the same target. What is the probability?
a.They all hit the target.
b.None hit the target.
c.At-least one hits the target.

Click here to see answer by Fombitz(32388) About Me 

Question 845889: a bag contain 10 bolt in which 3 are defected, two bolt drawn at random with replacement.find the prob. that none of two bolt are defective.
Click here to see answer by Fombitz(32388) About Me 

Question 845975: WhTs a whole number that 441 and 2500 are both divisible by?
Click here to see answer by Fombitz(32388) About Me 

Question 846026: I need assistance on just want formula to use with each question. The first question is It was found that 26% of the victims of health care fraud are seniors citizens. If 14 victims are randomly selected, find the probability that exactly four are seniors.
Click here to see answer by ewatrrr(24785) About Me 

Question 846028: A nation-wide study indicated that 91% of college students send or receive text messages on their cell phone. Suppose a random sample of 705 college students is obtained. What is the probability that 640 or fewer of the 705 students send and receive text messages on their cell phone? Would this be correct binomcdf(705,.91,640)=43.8%
Click here to see answer by ewatrrr(24785) About Me 

Question 846029: According to recent surveys, 84% of households have a personal computers. If a random sample of 302 households is selected, what is the probability that 260 or more of the households in the sample will have a personal computer? Again, I don't understand what formula to use. I know 302=n .84=p x=260 q=.16
Click here to see answer by ewatrrr(24785) About Me 

Question 846018:
(1) Find the mean and standard deviation of the following probability distribution,
x 1 2 3 4 5
P(x) 0.6 0.1 0.1 0.1 0.1
What is the probability that x is between – and  + ?
(2) Three fair quarters are tossed in a probability experiment. Calculate the theoretical probability that the three coins will land all heads up.
(3) If the probability of producing a defect is p = 0.02, what is the probability that a lot of 150 screws will contain less than 4 defectives?

(4) A large shipment of radios is accepted upon delivery if an inspection of ten randomly selected radios yields no more than one defective radio.
(a) Find the probability that this shipment is accepted if 5% of the total shipment is defective.
(b) Find the probability that this shipment is not accepted if 20% of the total shipment is
defective.
(5) Bill has completed a ten-question multiple-choice test on which answered seven questions correctly. Each question had one correct answer to be chosen from five alternatives. Bill says that he answered the test by randomly guessing the answers without reading the questions or answers.
(a) Define the random variable x to be the number of correct answers on this test, and construct the probability distribution if the answers were obtained by random guessing.
(b) What is the probability that Bill guessed seven of the ten answers correctly?
(c) What is the probability that anybody can guess six or more answers correctly?
(d) Do you believe that Bill actually randomly guessed as he claims? Explain?

Click here to see answer by psbhowmick(878) About Me 

Question 846052: i have 10 games to be played,clearly show all the ways in which the games can be
concluded.A game can be win by team 1 or team 2 or a draw.

Click here to see answer by richard1234(7193) About Me 

Question 846093: How many differ 4-letter radio-station call letters can be made if the first letter must be K or W, repeats are allowed, but the call letters cannot end in an O
Click here to see answer by stanbon(75887) About Me 

Question 846090: In a survey of employee satisfaction, 60% of the employees are male and 45% of the employees are satisfied. What is the probability of randomly selecting an employee who is male or satisfied?

Click here to see answer by stanbon(75887) About Me 

Question 846156: 22. Smokers, According to Information Please Almanac, 80% of adult smokers started smoking before they were 18 years old. Suppose 100 smokers 18 years old or older are randomly selected. Use the normal approximation to the binomial to:
(a) Approximate the probability that exactly 80 of them started smoking before they were 18 years old.
(b) Approximate the probability that at least 80 of them started smoking before they were 18 years old.
(c) Approximate the probability that fewer than 70 of them started smoking before they were 18 years old.
(d) Approximate the probability that between 70 and 90 of them, inclusive, started smoking before they were 18 years old.

Click here to see answer by ewatrrr(24785) About Me 

Question 846177: At a gathering consisting of 10 men and 20 women two door prizes are awarded. Find the probability that both prizes are won by men. The winning ticket is not replaced. Find the probability that both prizes are won by women
Click here to see answer by ewatrrr(24785) About Me 

Question 846171: 13. There are 14 teams competing in the Bilton Community Darts league. Teams are to be selected for the first and second divisions in the upcoming tournament. Each division is to have seven teams. If last years champs, the arrows, must be in the first division and the current league leaders, the bows, must be in the second division, in how many ways can the selection be made?
Click here to see answer by stanbon(75887) About Me 

Question 846137: An airline has a policy of booking as many as 25 persons on an airplane that only sits 24. 85% of passengers actually arrive for the flight. Find the probability that 25 persons are booked, and are not enough seats available.
Click here to see answer by stanbon(75887) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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, 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