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

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Question 426083: A computer requires eight characters for a password. The first character must be a letter and the remaining seven characters can be either a number or a letter. Lower and upper case are considered the same. How many passwords are possible?
I think the answer is 26*36*36*36*36*36*36*36 = 26*36^7 = 2.821x10^12 .... ?
I don't know if I am doing this right or not ... ?

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

Question 425934: In how many ways can 10 instructors be assigned to ten sections of a course in mathematics?
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Question 426097: How do you draw a spinner that fits all four clues:
1. The probability of spinning a 2 is equal to the probability of spinning a 1.
2. The probability of spinning all the numbers is not equal.
3. The probability of spinning a number other than a 1 is 75%
4. There are three numbers on the spinner.
I can't show how I draw but I can illustrate it. In the spinner, the numbers are 1,1,2,3
I have P(1) = 2/4 or 1/2, P(2)= 2/4 = 1/2, P(3) = 3/4 or 75%
Can You tell me did I get it right? If not, how do you solve this problem? Thanks again.

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 426128: If A = { x/x is an odd counting number smaller than 10 }; B = { 2,4,6,8 }; and C = { 1,2,3,4,5 }. Use these information to answer questions 1-4: 1. List A n B a. { }; b. { 1,3,5,7,9 }; c. { 2,4,6,8 }; d. None of the above.
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Question 426251: A student planning her curriculum for the upcoming year must select one of three business courses, one of four mathematics courses, two of seven elective courses, and either one of five history courses or one of four social science courses. How many different curricula are available for her consideration?
Click here to see answer by stanbon(75887) About Me 

Question 426225: I did ask this question awhile ago.
Draw a spinner that fits all four clues below:
1. The probability of spinning a 2 is equal to the probability of spinning a 1.
2. The probability of spinning ALL the NUMBERS is NOT EQUAL.
3. The probability of spinning a number other than a 1 is 75%.
4. There are three numbers on the spinner.
My question is: Why is the probability of spinning ALL the Numbers Not equal? What do you mean by that? Can you please explain it further. Thak you so much.

Click here to see answer by solver91311(24713) About Me 

Question 426246: 1) probability of 59, with Mean=60, and Standard deviation=7?
My answer: X=59
z=(59-60)/7
z= -0.143
p= 0.444
p=0.444, .04<.05, Decision to REJECT, Possible Error Type I
APA Statement: The hypothesis was supported X=45 s, z=0.143, p= 0.44
This is a one tailed hypotheisis.
Is my answer correct?
2)score at z = –1.96
I am not sure how to figure it out

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Question 426266: In how many ways can 10 instructors be assigned to seven sections of a course in mathematics?
is the answer 1209600 ways?

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Question 426267: if p(a)= 0.5 , p(b) =0.4 and p(a and b) = 0.20 determine p(a|b)
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Question 426191: Through a manufacturing error, three cans marked "regular soda" were accidentally filled with diet soda and placed into a 12-pack. Suppose that three cans are randomly selected from the 12-pack.
The questions and my answers are below ... I don't know if I am doing this correctly ...?
1. Determine the probability that exactly two contain diet soda?
C(3,2)/C(12,2) = 0.0455 or 5%
2. Determine the probability that exactly one contains diet soda?
C(3,1)/C(12,1) = .25 or 25%
3. Determine the probability that all three contain diet soda?
C(3,3)/C(12,3) = .0046

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

Question 426302: A committee of four people is to be selected from six Democrats and four Republicans. What is the probability that all are Democrats?
Click here to see answer by solver91311(24713) About Me 

Question 426332: Find the probability of winning the lottery according to the given rules.
(a)you must correctly select 6 out of 51 numbers. the order of the numbers is not important.
(b)you must correctly select 3 numbers, each from 0 to 9. the order of the numbers is important.

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Question 426346: lydia got a 45% on the test. she got 45 problems corect. how many questions were on the test??

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Question 426346: lydia got a 45% on the test. she got 45 problems corect. how many questions were on the test??

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

Question 426344: Can you help me find the answer for this question I have tried using the probability and get confused when there are two subjects the question is asking. What is the probability of selecting a student who liked Chemistry or Biology?
Major
Gender Biology Anatomy Chemistry Total
Male 105 140 47 292
Female 103 25 52 180
Total 208 165 99 472

Click here to see answer by sudhanshu_kmr(1152) About Me 
Question 426344: Can you help me find the answer for this question I have tried using the probability and get confused when there are two subjects the question is asking. What is the probability of selecting a student who liked Chemistry or Biology?
Major
Gender Biology Anatomy Chemistry Total
Male 105 140 47 292
Female 103 25 52 180
Total 208 165 99 472

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

Question 426348: When I have to find two probabilities I get lost can you please help me solve What is the probability of selecting a female or a student who likes Biology?
Thanks
Major
Gender Biology Anatomy Chemistry Total
Male 105 140 47 292
Female 103 25 52 180
Total 208 165 99 472

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

Question 426321: Your English teacher is drawing names to see who will give the first speech. There are 26 students in the class and 4 speeches will be given each day.
(a) what is the probability that you will give your speech first?
(b) what is the probability that you will give your speech on the first day?

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Question 426349: 7. A bag contains a total of 10 batteries, of which seven are defective. Selecting two at random, without replacement, determine the probability that none of the batteries you select are good.
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Question 426286: what is meant by a score at z=-1.96, with mean of 60, and standard deviation of 7?
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Question 426275: State the null and alternative hypotheses for showing an increase in buying and selling of single-family homes this year when compared with last year's rate.
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Question 426421: In how many different ways 3 people can be selected out of 8 candidates to be awarded with first prize, second prize and third prize (order of selection makes a difference)?
Click here to see answer by edjones(8007) About Me 

Question 426474: A college identification number consists of a letter followed by four
digits. How many different identification numbers are possible if repetition is not permitted? thanks in advance!

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Question 426476: A restaurant offers a choice of 3 salads, 7 main courses, and 4 desserts. How many possible choices for a meal are there (including single items)? thanks in advance!
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Question 426475: If a school offers 9 different subjects, how many different schedules of 6 classes are possible?
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Question 426480: It is known that 20% of all the residents that take the FL DL test for the first time fail it. Suppose that 15 people on a given day are taking the test for the first time. What is the probability that exactly 5 people fail it? At least one person fails the test?
Binomial Distibution

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Question 426500: I need to know how to set up the question:
11 boys and 15 girls in a kindergarten class room. How many ways can a teacher choose 2 girls to pass out tests?

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Question 426488: each of the 26 letters in the english alphabet is put on a slip of paper. One slip is selected at random. Classify each event as impossible, unlikely, likely, or certain.
P(consonant)
P(B)
P(a letter from A to Z)
P(10)
P(vowel)
P(*)

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Question 426494: A box contains a $1 bill, a $5 bill, and a $10 bill. Two bills are selected in succession without replacing the first bill. What are all the possible amounts of money that can be selected?
Click here to see answer by htmentor(1343) About Me 

Question 426605: I am having trouble with Binomial distribution can you please help me with this question?
Suppose the variable x follows a Binomial distribution with p = .5 and n = 11. Compute the variance of the distribution.
Thanks

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Question 426599: I am getting stumped on normal distribution, can you please help me figure out the question.
A normal distribution has a mean of 52 and a standard deviation of 4.2 what is the probability of a value greater than 52.0
Your help is greatly apprieciated!
Thanks

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Question 426634: I need help with this probability question please:
Suppose two students are selected randomly to attend a lunch with the president of the university. What is the probability that both of those selected liked Chemistry?
Major
Gender Biology Anatomy Chemistry Total
Male 105 140 47 292
Female 103 25 52 180
Total 208 165 99 472
Thanks
--------------------------------------------------------------------------------

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 426679: Make a tree diagram to find the number of ways you can arrage the colors yellow, red, blue, and green if no color can be used more than once. What is the total number of possible arrangements?
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Question 426696: A bag contains 10 green candies, 3 red candies, and 5 orange
candies.
What is the probability of drawing and eating first a green, then a
red, and then an orange candy?

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Question 426693: A math student guesses all the answers on a 15 question quiz.
Assuming that the student guesses correctly 57% on each item, what is the probability of getting
at most 8 answers correct on the quiz?

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Question 426745: please help me!
a soccer coach has 16 players on his team, he must choose 5 players to take part in a penalty kick shoot out and he must choose the order in which the 5 players kick. in how many ways can he choose and order the players?

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 426775: Given: n = 49 x = 54.8 s = 28 Ho: x = 50
Ha: x does not= 50
The standardized test statistic equals
a. 0.1714
b. 0.3849
c. –1.2
d. 1.2
e. None of the above

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Question 426852: If 20% of population have blue eyes, and 5 people are selected at random, what is the probability that at least 4 of them have blue eyes?
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Question 426914: Caroline has a 67% chance of receiving an A grade in statistics, a 51% chance of receiving an A grade in mathematics, and a 41% chance of receiving A grades in both statistics and mathematics. Find the probability that she receives an A in statistics or mathematics (or both).


Click here to see answer by stanbon(75887) About Me 
Question 426914: Caroline has a 67% chance of receiving an A grade in statistics, a 51% chance of receiving an A grade in mathematics, and a 41% chance of receiving A grades in both statistics and mathematics. Find the probability that she receives an A in statistics or mathematics (or both).


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Question 426918: How do I find the area under the standard normal curve between z = .84 and z = 1.95.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 426971: Help me please, I am going to flunk this class if I don't get at least one answer correct!
What critical region(s) for z would be used to test the hypotheses: H_0:μ=10 and H_a:μ≠10, for a = 0.05 ?

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Question 426942: What is the smallest sample size if we want to estimate the population mean with a 95% confidence, a standard deviation of 60 and have the precision within (plus-minus) 5?
Click here to see answer by robertb(5830) About Me 

Question 426968: If I have a bag that has 13 red candies, 13 yellow candies, 13 green candies and 13 blue candies, what is the probability that if I pick one it will not be blue?
Click here to see answer by ewatrrr(24785) About Me 

Question 427247: 1. A multiple choice test has 30 questions, and each has five possible answers, of which one is correct. If a student guesses on every question, find the probability of getting exactly 40% correct.
I understand n=30 and p=0.20 but the 40% correct is confusing me. Please help.
2. What is the probability that 4 rolls of a fair die will show exactly three fours?

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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, 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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