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

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Question 370068: Each locker is labeled with three upper-case alpha characters followed by two Base 16 characters. What is the maximum number of different locker numbers that can be generated?
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Question 370070: How many positive integers not exceeding 3278 are divisible by neither 12 nor 15?

Click here to see answer by Fombitz(32388) About Me 
Question 370070: How many positive integers not exceeding 3278 are divisible by neither 12 nor 15?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 369917: Suppose a candy manufacturer claims that 20% of a particular candy it makes is orange. You purchase a package and find that the package has thirteen pieces in it. a. Find the mean and standard deviation for the number of orange candies in each package of thirteen.
b. Using the probability outcome, comment on whether it would be unusual to find no orange candies in your package of thirteen.
c.Using the values of the mean and standard deviation, comment on whether it would be unusual to find no orange candies in your package of thirteen.

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

Question 369903: Suppose a candy manufacturer claims that 20% of a particular candy makes it orange. You purchase a package and find that the package has thirteen pieces in it. a. Find the mean and standard deviation for the number of orange candies in each package of thirteen.
b. Using the probability outcome, comment on whether it would be unusual to find no orange candies in your package of thirteen.
c.Using the values of the mean and standard deviation, comment on whether it would be unusual to find no orange candies in your package of thirteen.

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

Question 370134: An executive’s telephone log showed the lengths of 65 calls initiated during the last week of July. Use Excel to find the sample standard deviation and mean absolute deviation. CallLength
1 2 10 5 3 3 2 20 1 1
6 3 13 2 2 1 26 3 1 3
1 2 1 7 1 2 3 1 2 12
1 4 2 2 29 1 1 1 8 5
1 4 2 1 1 1 1 6 1 2
3 3 6 1 3 1 1 5 1 18
2 13 13 1 6

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Question 370105: Determine whether the situation calls for a discrete or continuous random variable.



The weight of a randomly selected apple
1. continuous 2. discrete
work the problem out

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Question 370111: A racetrack is modeled with the graph of an ellipse with vertices at (2,3) and (-8,3) and the foci at (1,3) and (-7,3). which equation models an ellipse?
Click here to see answer by Fombitz(32388) About Me 

Question 370203: a city council consists of seven democrats and six republicans. if a committee of six people is selected, whats the probability of selecting four democrats and two republicans?
Click here to see answer by robertb(5830) About Me 

Question 370227: What are the next seven terms of the lexicographic ordering of the n-tuple 34276 where each digit belongs to {2,3,4,6,7} set
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Question 370227: What are the next seven terms of the lexicographic ordering of the n-tuple 34276 where each digit belongs to {2,3,4,6,7} set
Click here to see answer by edjones(8007) About Me 

Question 370180: If Minh picks a letter of the alphabet at random, what is the probability it occurs in the name "Hattiesburg, Mississippi"? Express your answer as a common fraction
Click here to see answer by edjones(8007) About Me 
Question 370180: If Minh picks a letter of the alphabet at random, what is the probability it occurs in the name "Hattiesburg, Mississippi"? Express your answer as a common fraction
Click here to see answer by robertb(5830) About Me 

Question 370137: In a strings of length 9 with elements being a, b or c. How many strings will contain at least 6 b’s?
Click here to see answer by robertb(5830) About Me 

Question 370140: There are ten lottery tickets, two of which are winners. Find the probability that in a sample of 6 tickets there will be no more than one winning ticket.
Click here to see answer by edjones(8007) About Me 

Question 370130: There are ten lottery tickets, two of which are winners. Find the probability that in a sample of 6 tickets there will be no more than one winning ticket.


Click here to see answer by edjones(8007) About Me 

Question 370132: In a string of length 9 with elements being a, b or c. How many strings will contain at least 6 b’s?
Click here to see answer by edjones(8007) About Me 

Question 370256: According to the bureau of the census, the following statistics describe the number (in thousand) of young adults living at homr or in a dormitory in the year 2004.
ages 18-24 ages 25-34
--------------------------
male 7922 2543
female 5779 995
choose one student at random. Find the probability that the student is
a. a female student aged 25-34
b. Male or aged 18-24
c. Under 25 years if age and not male

Click here to see answer by edjones(8007) About Me 
Question 370256: According to the bureau of the census, the following statistics describe the number (in thousand) of young adults living at homr or in a dormitory in the year 2004.
ages 18-24 ages 25-34
--------------------------
male 7922 2543
female 5779 995
choose one student at random. Find the probability that the student is
a. a female student aged 25-34
b. Male or aged 18-24
c. Under 25 years if age and not male

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

Question 370273: In a casino game, a player is given three numbers from 1 to 3. That is, he is given 1, 2, or 3, then again 1, 2, or 3, and then a third time 1, 2, or 3. Write out the sample space. What is the probability that the player will receive three different numbers?
Click here to see answer by gxlhdl(1) About Me 
Question 370273: In a casino game, a player is given three numbers from 1 to 3. That is, he is given 1, 2, or 3, then again 1, 2, or 3, and then a third time 1, 2, or 3. Write out the sample space. What is the probability that the player will receive three different numbers?
Click here to see answer by edjones(8007) About Me 

Question 370270: License plates in a particular state have two letters, three single-digit numbers, and then one letter. If no plate can begin with the letter ‘A’ and all three of the letters must be different, how many different license plates are possible?
Click here to see answer by edjones(8007) About Me 

Question 370299: A turkey producer knows from previous experience that profits are maximized by selling turkeys when their average weight is 12 kilograms. Before determining whether to put all their full grown turkeys on the market this month, the producer wishes to estimate their mean weight. Prior knowledge indicates that turkey weights have a standard deviation of around 1.5 kilograms. The number of turkeys that must be sampled in order to estimate their true mean weight to within 0.5 kilograms with 95% confidence is:
A. 5
B. 35
C. 65
D. 150

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

Question 370266: The number of multiple births in the United States for a recent year indicated that there were 128,665 sets of twins, 7110 sets of triplets, 468 sets of quadruplets, and 85 sets of quintuplets. Choose one set of siblings at random. Find the probability that it
a. represented more than two babies
b. represented quads or quints
c. now choose now baby from these multiple births. what is the probability that the baby was a triplet?

Click here to see answer by edjones(8007) About Me 

Question 370298: The 90% confidence interval for a population mean is (1.2, 5.2).
A. Then the population mean is 3.2, and the margin of error is 2.
B. Then the sample mean is 3.2, and the margin of error is 2.
C. Then the sample mean is 2, and the margin of error is 3.2.
D. Then the population mean is 2, and the margin of error is 3.2.

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

Question 370312: If we wish the decrease the margin of error, we would NOT do the following:
A. Increase the sample size.
B. Decrease the population size.
C. Decrease the confidence level.

Click here to see answer by robertb(5830) About Me 

Question 370309: Wildlife biologists estimate that about 22% of deer carry the ticks that test positive for Lyme disease. They want to have a more precise estimation. They want to have their estimate within 3% of the actual population proportion with 95% confidence. How many deers should they inspect?
A. 733
B. 573
C. 145
D. 11

Click here to see answer by edjones(8007) About Me 

Question 370339: 4–76. The number of newspapers demanded daily in a large metropolitan area is
believed to be an approximately normally distributed random variable. If more
newspapers are demanded than are printed, the paper suffers an opportunity loss,in that it could have sold more papers, and a loss of public goodwill. On the other
hand, if more papers are printed than will be demanded, the unsold papers are
returned to the newspaper office at a loss. Suppose that management believes that
guarding against the first type of error, unmet demand, is most important and
would like to set the number of papers printed at a level such that 75% of the time,
demand for newspapers will be lower than that point. How many papers should be
printed daily if the average demand is 34,750 papers and the standard deviation of
demand is 3,560?

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

Question 370305: In a random survey of 226 college students, 20 reported being "only" children (with no siblings). Estimate with 95% confidence the proportion of students nationwide who are only children (please use the adjusted formula).
A. (0.022,0.189)
B. (0.058,0.134)
C. (0.096,0.203)
D. (0.194,0.265)

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

Question 370263: In a recent year there were the following numbers(in thousands) of licensed drivers in the united states.
male / females
Age 19 and under - 4746 4517
age 20 - 1625 1553
age 21 - 1679 1627
choose one driver at random. Find the probability that the driver is
a. male and 19 or under
b. age 20 or female
c.at least 20 years old

Click here to see answer by edjones(8007) About Me 

Question 370397: The table below represents the college degrees awarded in a recent academic year by gender.
Bachelor's/ master's / Doctorate
men- 573079,211381,24341
women- 775424,301264,21683
Choose a degree at random. Find the probability that it is
a. A doctorate awarded to a woman
b. Not a master's degree

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Question 370400: What are the odds that a randomly selected number between 1 and 100 will not have a digit 5?
Click here to see answer by Edwin McCravy(20054) About Me 
Question 370400: What are the odds that a randomly selected number between 1 and 100 will not have a digit 5?
Click here to see answer by sgudihal(1) About Me 

Question 370438: When a single card is drawn from a well shuffled deck of 52 cards. What is the probability of getting a king?
Click here to see answer by stanbon(75887) About Me 

Question 370437: Life of Light Bulbs A certain type of light bulb has an average
life of 500 hours, with a standard deviation of 100 hours. The
length of life of the bulb can be closely approximated by a normal
curve. An amusement park buys and installs 10,000 such
bulbs. Find the total number that can be expected to last for
each period of time.


Q:Find the shortest and longest lengths of life for the middle
80% of the bulbs.

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

Question 370460: True-False Test A professor gives a test with 100 true-false
questions. If 60 or more correct is necessary to pass, what is
the probability that a student will pass by random guessing?

Click here to see answer by edjones(8007) About Me 

Question 370478: In a box of eggs, 6 out of 52 are bad.
What are the chances of drawing out 3 and finding them bad?

Click here to see answer by edjones(8007) About Me 

Question 370457: Survey Results A company is taking a survey to find out
whether people like its product. Their last survey indicated
that 70% of the population like the product. Based on that,
of a sample of 58 people, find the probabilities of the following.
a. All 58 like the product.
b. From 28 to 30 (inclusive) like the product.

Click here to see answer by edjones(8007) About Me 

Question 370529: There are 7 girls and 6 boys in a class. Suppose five children are randomly chosen to decorate the game room. What is the probability that three girls and two boys are chosen?
Click here to see answer by stanbon(75887) About Me 

Question 370586: How many different four-letter radio station call letters can be formed if the first letter must be W or K?
Click here to see answer by edjones(8007) About Me 

Question 370554: Use the counting principle to determine the answer to part (a). Assume that each event is equally likely to occur.
Pet Shop A pet shop is selling a calico cat, a Siamese cat, a Persian cat, and a Himalayan cat. The Chens are going to select two cats to bring home as pets.
• a) Determine the number of points in the sample space.
• b) Construct a tree diagram and list the sample space. Determine the probability that they select
• c) the Persian cat.
• d) the Persian cat and the calico cat.
• e) cats other than the Persian cat.
Please help me.

Click here to see answer by edjones(8007) About Me 

Question 370624: How do you solve:
Set: 0,1,2,3,4,5,6
What are the number of three-digit possibilities?
Thank you!

Click here to see answer by jvan(28) About Me 

Question 370630: How do you solve:
A single card is chosen at random from a standard 52-card deck. What are the odds against it being a red queen?
Thank you!

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

Question 370626: How do you solve:
Given the set: 0,1,2,3,4,5,6
What are the number of possibilities of three-digit multiples of five without repeated digits?
Thank you!

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

Question 370409: hi, i need help with this. any kind of help will be appriciated.
Question : By statistics, faculty with rank of assistant professor (AP) finishing their 2nd year of employment at a higher education institution in Ontario earn an average of $ 68,500 per year with a standard deviation of $3500. In an attempt to verify this salary level, a random sample of 50 AP with 2 years of experiment was selected from a personnel database for all higher education institutions in Ontario.
a. Describe the sampling distribution of the sample mean ¯X of the average salary of these 50 AP.
b. Within what limit would you expect the sample mean to fall with probability .95
c. Calculate the probability that ¯X is greater than 70,000.
d. If the random sample actually produced a sample mean of 70,000, would you considerthis rather unusual? What conclusion might you draw then?
Thanks in advance.
--------------------------------------------------------------------------------

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, 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