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

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Question 437286: A die is rolled 3 times. What is the probability of rolling a 6 only once.
Click here to see answer by ewatrrr(10682)

Question 437285: A student must choose 3 questions out of 5 on a math test. What is the probability the student selects the first 2?
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Question 437297: A box contains five slips of paper. Each slip has one of the numbers 4,6,7,8,or 9 written on it and all of the numbers are used. The first player reaches into the box and draws two slips and adds the two numbers. If the sum is even, the player wins. If the sum is odd, the player loses. What is the probability that the player wins? Does the probability change if the two numbers are multiplied? Explain
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Question 437320: using the z table, find the critical value for a two tailed test with a=0.02
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Question 437319: the chance of passing,in a driving licence test is 0.6. what is the probability that the person requires to sit 3 times to pass the driving licence test?

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Question 437313: The scores on the psychomotor development index (PDI), a scale of infant development, are approximately normal with mean mu=100 and standard deviation sigma=18. What is the probability that the average score of 25 infants exceeds 108?
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Question 437246: 100 candidates sat for a examination ,60 pass bio,50 pass che and 29 pass phy. all passed atleast one of theree subjects, 17 pass both bio and che, 15 pass both bio and phy and 12 pass both che and phy. Draw a venn diagram to illustrate the problem.
if a candidate is chosen at random, what is the probability that he pass exacty one subject?
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Question 437292: Assume that the probability is .5 that a child is born a boy and births are independent. What is the probability that if a family will have 4 children (no twins) they will all be boys?
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Question 437375: A basket contains 34 apples, 4 of which are bad, If a sample of two is drawn and not replaced, what is the probability that both will be bad?
Click here to see answer by solver91311(16885)

Question 437325: If someone has a "four times greater probability" of developing a medical condition over someone else, what percentage is that? Would that be a 25% greater probability? Thank-you for your time. Peggy
Click here to see answer by Alan3354(30993)

Question 437321: customers arrive at a supermarket till at a rate of 2 every 10 minutes. find the expected value of customers that would arrive :
(1) 09:15 and 09:25
(2) in a 1 hour interval
(3) in 20 minutes interval.
Click here to see answer by jorel1380(2518)

Question 437393: what are the probability of choosing 1 male and 1 female of a group of 10 males and 40 females
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Question 437311: In a test of ESP, the experimenter looks at cards that are hidden from a subject. Each card contains one of four shapes; either a star, a circle, a wave and a square. As the experimenter looks at each of 15 cards in turn, the subject names the shape on the card. Assume the cards are independent. What is the probability that a subject guesses all 15 cards correctly?
Click here to see answer by jorel1380(2518)

Question 437352: Suppose that the replacement times for washing machines are normally distributed with a mean of 8.7 years and a standard deviation of 1.6 years. Find the replacement time that separated the top 18% of washing machines from the bottome 82%
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Question 437334: Richard surveys a room of 26 adults and finds that of the 12 men, 5 are married and 7 are single. Of the 14 women, 8 are married and 6 are single. Richard randomly assigns each person a number and places a card with each number in a hat. What is the probability that Richard will select a card with a number assigned to a married man?
Click here to see answer by jorel1380(2518)

Question 437415: there are 3 red, 2 blue, and 5 green marbles in a bag. William randomly chooses a marble and puts it back into the bag. He repeats this process 70 times. How many times would he be expected to draw a red marble?
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Question 437409: At one retail store, the mean time for a person to complete an application for
employment is 24.5 minutes with standard deviation 3.9 minutes. What is the
probability a randomly selected applicant takes longer than 37 minutes to fill
out the application?
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Question 437412: As items come to the end of a production line, an inspector chooses which items are to go through a complete inspection. Five percent of all items produces are defective.
Seventy percent of all defective items go through a complete inspection and twenty percent of all good items go through a complete inspection. If an item goes through a complete inspection, what is the probability it is not defective?
Click here to see answer by edjones(7569)

Question 437437: A jar contains three green marbles and five white marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble. Find the probability of each event.
If I select a green marble then a white marble, what would be the correct probability?

Click here to see answer by edjones(7569)

Question 437440: A jar contains three green marbles and five white marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble. Find the probability of each event.
What would the probability be if both of the marbles I selected are green?
Click here to see answer by edjones(7569)

Question 437429: If 50 people enter a drawing where the first name drawn gets a $1000 gift card, the second gets $500 gift card, and the third gets a $100 gift card, find the number of possible outcomes.
Click here to see answer by edjones(7569)

Question 437433: A TV executive is interested in the popularity of a particular cable TV show. She has been told that a whopping 68% of American households would be interested in tuning in to a new network version of the show. If this is correct, what is the probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show? Assume that the 6 households constitute a random sample of American households
Click here to see answer by edjones(7569)

Question 437379: A dinner party has 7 couples. The hostess wishes to seat all the guests around a circular table alternating males and females. How many differnt seating arrangements are there? Assume that there is no special seat around the table.
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Question 437373: How many passwords are possible if you have 1 letter followed by 3 digits?
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Question 437479: This is a stumper of a probability question.....There are 6 models of a new car. It comes in 14 different colors. If I want 6 cars and they want to know if I have any color preferences, I say no, I don't care as long as they are different colors-how many possible shipments could they send me?
I have tried combinations and I know it is not a permutation. Could it be 14*13**12*11*10*9...Help PLEASE!!!
Click here to see answer by rwm(914)

Question 437533: The senate in a certain state is comprised of 52 Republicans, 45 Democrats, and 3 Independants. How many committees can be formed if each must have 4 Republicans and 3 Democrats?
Click here to see answer by stanbon(57354)

Question 437544: What is the P-value for t less than or equal to 1.44 with 45 degrees of freedom?
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Question 437546: what is the p-value for (Absolute value t) greater than 1.44 with 45 degrees of freedom?
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Question 437548: Based on a sample of 34 randomly selected years, a 90% confidence interval for the mean annual precipitation in one city is from 47.7 inches to 50.3 inches. Find the margin of error.
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Question 437571: Dawn, Serigo, Katrina, Sarah, Ian, Maria, and Kim have all been invited to a dinner party. They arrive randomly and each person arrives at a different time.
a) In how many ways can they arrive?
b) In how many ways can Dawn arrive first and Kim last?
c)Find the probability that Dawn will arrive first and Kim last.
Click here to see answer by stanbon(57354)

Question 437570: What's the probability that you randomly select a black lab, don't put the lab back, then draw another black lab, don't put the lab back, and then draw another black lab?
I have tried: 10/20=0.5, then decrease one: 9/19=.47, again decrease one: 8/18=.44 and again 7/17= .41. Is this correct?
Click here to see answer by edjones(7569)

Question 437553: If there are 30 pieces of paper in a hat and 4 of them have your name on them. What is the probability of drawing your name if you get to draw 2 pieces of paper at random. Order does not matter.
Once the first piece of paper is drawn, it is not added back into the hat.
Click here to see answer by edjones(7569)

Question 437555: A group consists of five men and seven women. Four people are selected to attend a conference.
a) In how many ways can four people be selected from this group of twelve?
b) In how many ways can four women be selected from the seven women?
c) Find the probability that the selected group will consist of all women .
Click here to see answer by edjones(7569)

Question 437564: A health inspector must visit 3 of 13 restaurants on Monday. In how many was can she pick the 3 restaurants?
Click here to see answer by rfer(12660)

Question 437698: During a semester, 40% of the students are taking a mathematics course. Determine the probability that of the five students selected...
a) exactly 2 are taking a math course
b) at least 4 students are taking a math course
c) fewer than 4 students are taking a math course
Click here to see answer by stanbon(57354)

Question 437760: If there are 17 people and each is running for 1 of 3 committee seats, how many 3 person committees can be made with no repeats?
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Question 437771: In a study of the time college freshmen use to study each week, it is found that the
mean is 6.8 hours with a standard deviation of 2.5 hours. If 100 freshmen are
randomly selected, what is the probability that their mean weekly study time
exceeds seven hours?
Click here to see answer by ewatrrr(10682)

Question 437746: employees of a firm were asked what they considered imporant.74% felt that job security was important while 65% felt that pension benefits were important. Of those who felt pensions were important, 60% also felt that job security was an important issue.What percentage of the members felt that job security & pension benefits were important issues?And What percentage felt that at least one of the two issues was important?
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Question 437694: the marks of 60 students in an sta 122 examination are normally distributed with a mean of 58 and a standard deviation of 18.what are the chances that an individual student, chosen at random, will have a mark greater than 70?
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Question 437781: A box contains five tickets, with letters A,B,C,D,E.
Seven draws will be made ar random with replacement.
Find to the nearest percent, the probability that exactly four out of the seven draws will be the B.

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Question 437800: You have 7 friends who want to go to a concert with you, but you only have 2 extra tickets who many possible ways are there to choose 2 of your 7 friends

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Question 437799: A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 2 pieces of candy at random. Find the probability that you have 2 lemon candies.
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Question 437857: if numbers 1 to 60 what is the probability of getting 55 or higher

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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