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

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Question 35665: Identify the number of ways six people can be arranged in a row for a picture.
Thanks for your help!

Click here to see answer by benni1013(206) About Me 
Question 35665: Identify the number of ways six people can be arranged in a row for a picture.
Thanks for your help!

Click here to see answer by rapaljer(4671) About Me 

Question 35742: Determine the number of possible outcomes and please show work
How many ways can 6 items be selected for a gift basket from twelve possible items if the order of selection does not matter?
Thanks so much!

Click here to see answer by rapaljer(4671) About Me 

Question 35741: Determine the number of possible outcomes and please show work
How many different ways can first, second, and third place be awarded to the first three finishers out of 150 people racing?
Thank you! :)

Click here to see answer by venugopalramana(3286) About Me 

Question 35740: Determine the number of possible outcomes and please show work
How many different ways can you top a sundae using three of the ten flavors of topping available if order of the toppings matters?
Thank you for the assistance!

Click here to see answer by venugopalramana(3286) About Me 

Question 35801: Determine the number of possible outcomes and please show work

A lounge can be ordered with a choice of rocking, non-rocking, swivel or non-swivel; cotton, leather, or plush cover; and in blue, green, maroon, or black. How many different lounges are possible?
Any help would be GREATLY appreciated! Thank you!

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

Question 35800: determine the probability of getting a zero heads when tossing a coin four times.
Click here to see answer by checkley71(8403) About Me 

Question 35980: Find the numberof possible 5-card hands that contain the cards specified.
5 face cards

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Question 36048: Hi Could somebody help me or give me guidance on how to answer the questions below please, thanks, Sarah
Sam's Takeaway has the opportunity to open a new shop, but is unsure of the demand. Initial estimations are that there is a 80% chance of high demand and 20% chance of low demand.
Sam's Takeaway must choose between a large, medium or small shop. The large shop has the potential to make a profit of £50,000 if there is high demand but a loss of £10,000 if demand is low. The medium shop could make £40,000 or £15,000 depending on whether there is high or low demand, respectively. Whilst, the small shop could yield a £20,000 profit with high demand or £10,000 with low demand.
1 (a) Sam will use the Expect Value Approach, with the probabilities above. Construct a table, in Microsoft Excel to compare the decision alternatives. This table should use formulas where appropriate, and be able to clearly show the “expected value” and also a description of the preferred shop size.
(6 marks)
(b) Sam's Takeaway revises their estimations from 80% high demand and 20% low demand to 70% high demand and 30% low demand Does this change to decision alternative, and if so how?

Click here to see answer by Prithwis(166) About Me 

Question 35986: Sara and Josh were playing a board game in which they rolled two dice.
Rolling doubles (that is, rolling the same number on both sice) lets take
an extra turn. Josh roleed two 3s and then two 5s. As she was getting ready
to take another extra turn, Sara said 'The chances of you getting doubles
again are next to nothing' Is craig correct? Explain your answer

Click here to see answer by venugopalramana(3286) About Me 

Question 36315: Help, help help, these kinds of problems confuse me. A 3judge panel is used to settle a dispute. Both sides agree that a majority decision will be upheld. If each judge will render a favorable decision based on the evidence presented 2/3 of the tiem, what is the probability that the correct side will win the dispute? I've read this over and I don't even know how to begin. thank You
Click here to see answer by stanbon(75887) About Me 

Question 36314: Please help me on this probability problem. To raise money the music club has set up a lottery using 2 digit numbers. The first digit will be from 1 to 4. The second digit will be from 3 to 8. Trudy's first digit is 2 and she can't remember the second digit. If only one two digit lottery winner is drawn, and that number has a 2 for the first digit, what is the probability that Trudy will win? I tried and got no where with this one.
Click here to see answer by checkley71(8403) About Me 
Question 36314: Please help me on this probability problem. To raise money the music club has set up a lottery using 2 digit numbers. The first digit will be from 1 to 4. The second digit will be from 3 to 8. Trudy's first digit is 2 and she can't remember the second digit. If only one two digit lottery winner is drawn, and that number has a 2 for the first digit, what is the probability that Trudy will win? I tried and got no where with this one.
Click here to see answer by stanbon(75887) About Me 

Question 36203: Hi, a tutor kindly helped me solve a question relating to below earlier, this is the last one I need help on, I'd appreciate any kind of help recieved, thanks
Sam's Takeaway has the option of carrying out some market research to improve their original estimations of demand. The report could give two possible results:
1. A favourable result
2. An unfavourable result.
If the market research report is favourable the probability of high demand is 0.95 and of low demand 0.05.
If the market research report is unfavourable the probability of high demand is 0.30 and low demand 0.70.
(c) Construct a spreadsheet to work out the branch probabilities of a favourable report and of an unfavourable report.
(6 marks)
(d) Draw the tree diagram showing all of the branch probabilities and work out the decision Sam's Takaway should make.

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

Question 35927: Can you help with this question?
Say that the variance of a set of data is 24/5. At a minimum, about how many data points will be within 4.3818 of the mean of measurements?
A. 4/5
B. 3/4
C. 2/3
D.1/2

Click here to see answer by venugopalramana(3286) About Me 

Question 37060: The midpoint of line segment JK is M. What is the probability that a randomly selected point on line segment JK is closer to M than to J or to K?
Click here to see answer by stanbon(75887) About Me 

Question 37117: Solve and please show work. Thank you!
How many four-letter groups can be made with the letters A, B, C, and D if the letters can be repeated?

Click here to see answer by venugopalramana(3286) About Me 

Question 37414: 8.38 x 10^7 feet - 5.84 x 10^7 feet
Click here to see answer by fractalier(6550) About Me 

Question 37424: (a) If we roll two fair dice, what is the probability that a total of nine shows?
(b) if we toss four fair coins, what is the probability that we get exactly two heads?

Click here to see answer by checkley71(8403) About Me 

Question 37425: Assume that we have ten people. Find the probability that at least two of ten people were born on the same day of the year.
Click here to see answer by stanbon(75887) About Me 

Question 37423: For several years in Massachusetts, the lottery commission would mail residents coupons for free Lotto tickets. To win the jackpot in Massachusetts, you have to correctly guess all six numbers drawn from a pool of 36. What is the expected value of the free Lotto ticket if the jackpot is $8,000,000 and there is no splitting of the prize?
Click here to see answer by stanbon(75887) About Me 

Question 37538: When a fair 6 sided die is tossed on a table top, the bottom face cannot be seen. What is the probability that the product of the 5 faces that can be seen
is divisible by 6?

Click here to see answer by AnlytcPhil(1806) About Me 
Question 37538: When a fair 6 sided die is tossed on a table top, the bottom face cannot be seen. What is the probability that the product of the 5 faces that can be seen
is divisible by 6?

Click here to see answer by fractalier(6550) About Me 

Question 37632: 1o balls numbered 1 to 10 are in a jar. Jack reaches into jar & randomly removes one of the ball. Then jill reaches into the jar & randomlly removes a different ball..What is the probability that the sum of the 2 numbers on the balls removed is even?
Click here to see answer by mszlmb(115) About Me 

Question 37649: How many ways can joe select 3 movies to rent from the top 10 rentals?
I came up with 720, is this correct? The next question is: How many ways can joe select 3 movies to rent from the top ten rentals and arrange them in a triple feature? Thanks

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

Question 37422: PLEASE someone help me!!!
Each number below is the number of miles the Hoover family has driven in a week. Determine the frequency of the class interval for this data.
142 284 557 354 315
265 329 157 379 294
425 498 198 297 414
210 342 171 416 305
A) Miles Driven
(Class Interval) Tally Frequency
130-264 miles ___________ ___________
B) Miles Driven
(Class Interval) Tally Frequency
265-329 miles ___________ ___________
C) Miles Driven
(Class Interval) Tally Frequency
320-379 miles ___________ ___________
D) Miles Driven
(Class Interval) Tally Frequency
380-444 miles ___________ ___________
E) Miles Driven
(Class Interval) Tally Frequency
460-474 miles ___________ ___________


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

Question 37966: Please help me find the middle term of (x-y)^10. Thanks so much whoever can help me!
Click here to see answer by stanbon(75887) About Me 

Question 37965: Please help me find the fifth term of (x+y)^12 and the last term of (2x-y)^11 could you help me understand this too? I dont even get the question...let alone how to find the answer. Thanks!
Click here to see answer by stanbon(75887) About Me 

Question 37964: Help me please find the term of the expansion (x-y)^8 that contains y^7 and simplify it. Thank you so much!
Click here to see answer by fractalier(6550) About Me 

Question 38039: Evaluate C (10, 4)
Click here to see answer by fractalier(6550) About Me 

Question 38038: How many ways can six different books be arranged on a shelf if one of the books is a dictionary and it must be on an end?
Click here to see answer by fractalier(6550) About Me 

Question 38037: Each question on a five-question multiple choice quiz has answer choices labeled A, B, C, and D. How many different ways can a student answer the five questions?
Click here to see answer by venugopalramana(3286) About Me 

Question 38051: from 80,000 jars produced, a manufacturer samples 1,200 and finds 7 of those defective. estimate the total number of defective jars.
Click here to see answer by fractalier(6550) About Me 

Question 38282: Question: For a college application, Macawi must select one of five topics on which to write a short essay. She must also select a different topic from the list for a longer essay. How many ways can she coose the topics for the two essays? The answer I got was 10. I just want a confirmation. I don't like to use the tree diagram.
Click here to see answer by fractalier(6550) About Me 

Question 38283: Question: Lance's math quiz has eight true-false questions. How many different choices for giving answers to the eight questions is possible?
How do you do this problem algebraically?

Click here to see answer by fractalier(6550) About Me 
Question 38283: Question: Lance's math quiz has eight true-false questions. How many different choices for giving answers to the eight questions is possible?
How do you do this problem algebraically?

Click here to see answer by checkley71(8403) About Me 

Question 38180: In a survey,80 computer science teachers were asked which of the three programming languages, Pascal, Fortran and C,have they used to introduce programming to students. Forty (40) teachers said they have used Pascal,35 said they have used Fortran, 25 said they have used C,20 said they have used both Pascal and Fortran,17 said they have used Pascal and C, 5 said they have used Fortran and C,and 3 said they have used all the three languages.
a)How many teachers have used Fortran alone?
b)How many teachers have used both Pascal and C?
c)How many teachers have used Fortran, but not C?
d)How many used none of the three languages?















Click here to see answer by khwang(438) About Me 

Question 38353:
The following sample shows the shirt colors of a 
random sample of students in school. Find the 
experimental probability a student chosen at random 
is wearing a white shirt. 
blue 8
red 7
white 12
other 3


Click here to see answer by AnlytcPhil(1806) About Me 

Question 38352: You randomly select two letters from eight tiles that spell G.E.O.M.E.T.R.Y.
replacing the first before you select the second,what is the probability that you will select two E's

Click here to see answer by AnlytcPhil(1806) About Me 

Question 38562: The 8 people at a party shook hands exactly once with each of the others before the 9th arrived. The 9th person then shook hands with some of these 8 people. A
total of 32 handshakes took place. With how many people did the 9th person shake hands?

Click here to see answer by AnlytcPhil(1806) About Me 
Question 38562: The 8 people at a party shook hands exactly once with each of the others before the 9th arrived. The 9th person then shook hands with some of these 8 people. A
total of 32 handshakes took place. With how many people did the 9th person shake hands?

Click here to see answer by fractalier(6550) About Me 

Question 38643: Given the following set of numbers: {-1, 1 , 2, 3}
One number is to be chosen at random and labeled x.
Then the second number is to be chosen and labeled y.
If repetition of the digits is not allowed, what is the probability that when plotted in rectangular coordinates, the point (x,y) will be in the first quadrant?

Click here to see answer by Nate(3500) About Me 

Question 38874: I'm in need of help on this worksheet i'm doing. One of the questions goes like this and i don't get it.
Captain Praub Ability had much to do. He glanced at his to-do list.
1. Save a damsel in distress
2. Get cat out of tree
3. Defeat the evil megalomaniac atop the moutain tower
4. Rent tux for Crime Fighters 17th annual Award ceremony
5. Pick up crime-fighting-hero suit from dry cleaners
6. Clean out refrigerator
7. Get groceries
If order does matter, how many orders are there for the seven items on Praub Ability's list?

Click here to see answer by Nate(3500) About Me 

Question 38987: if order does matter, how many ways can you interview the 17 volunteers 3 at a time?
please help me with this question

Click here to see answer by Nate(3500) About Me 

Question 38985: if order does not matter, how many ways can you interview 17 volunteers 3 at a time?
please help me with this problem!

Click here to see answer by Nate(3500) 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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