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

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Question 576666: A multiple choice exam contains 50 questions. Each question has 5 choices, one of which is correct. We are interested in knowing the probability guessing exactly 18 questions correctly.

(a) Is this a binomial experiment? Explain how you know.
(b) Use the correct formula to find the probability of guessing exactly 18 questions correctly out of the 50 questions. Show your calculations or explain how you found the probability.

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Question 576665: A company’s CEO wanted to estimate the percentage of defective product per shipment. In a sample containing 400 products, he found 25 defective products.

(a) Find a 95% confidence interval for the true proportion of defective product. Show your calculations and/or explain the process used to obtain the interval.
(b) Interpret this confidence interval and write a sentence that explains it.

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

Question 576800: Hi,
There are 12 red beads and 12 green beads. Choose 4 beads randomly.
1. What are the chances that 4 out of 4 beads will be red?
(12/24)^4 seems correct. But why wouldn't 12C4/24C4 be correct? I'm having trouble understanding when to use which formula.
2. What are the chances that 3 out of 4 beads will be red?
12C3+12C4/24C4 <--- is this correct?

Thanks!

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

Question 576875: A fast food chain offers a special menu for children for which there is a choice of a hamburger or a chicken sandwich with either french fries or a salad, plus one of six beverages. How many special menu possibilities are there?

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Question 576926: how do you round 67.2 to one decimal place

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Question 576945: I am trying to calculate the odds similar to lottery with different conditions and don't know how to do it. I am not trying to win the lottery. It is for a board game variation similar to Bingo.
The conditions are: 45 numbers, pick 5, 15 numbers randomly chosen. How do I calculate the odds of getting all 5 numbers being drawn? Would I continue with setting up the as 1/45, 1/44, 1/43, 1/42, 1/41 and then 1/40? or would I go 3/45, 3/44....? Would I still use 120 as the dividing factor, or would I divide by 360? Help would be appreciate. Thank you

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

Question 576874: It is said that sufferers of a cold virus experience symptoms for 7 days. However, the amount of time is actually a normally distributed random variable whose mean is 7.5 days and whose standard deviation is 1.5 days.
A) What proportion of cold sufferers experience symptoms for less than 7.5 days?
B) What proportion of cold sufferers experience symptoms for between 7.5 and 10.5 days?
C) Compute the probability of a cold sufferer experiencing symptoms for more than 14 days.
D) Compute the probability of a cold sufferer experiencing symptoms for less than 5 days?
E) Compute the probability of a cold sufferer experiencing symptoms for between 5 and 8 days?
F) What cold length (number of days of symptoms) is exceeded by only 10% of cold sufferers?

Click here to see answer by liset(1) About Me 

Question 577037: Construct the 95% and the 99% confidence intervals for the population proportion p using the sample statistics below:
p=0.627
q=0.373
n=4351
The 95% confidence interval for the population proportion p is (____, ____)
The 99% confidence interval for the population proportion p is (_____,____)
Which interval is wider?
*Answer needed asap please. Thank you!*

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Question 577039: Find the mean, variance and standard deviation of the binomial distribution with the given values of n and p.
N = 70, P = 0.4

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Question 577110: A realtor has decided to show five houses to a new client this afternoon. How many different ways can this be accomplished?
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Question 577028: Find the value of each letter so that the equation below is true . Each letter represents a distinct digit. Coca + cola equal soda
Click here to see answer by KMST(5328) About Me 

Question 577211: gas cost 2.499 dollars how much will it cost to fill an empty tank round to nearest cent
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Question 577272: A cooler contains 12 bottles of apple juice and 18 bottles of orange juice. You reach in and without looking pull 2 bottles. What is the probability that one bottle is apple juice and one bottle is orange juice?
Click here to see answer by stanbon(75887) About Me 

Question 577239: The statistics of campus interviews show that for every 10 interviews 4 job offers are made. Out of 66 interviews, what is the probability that at least 30 offers would be made?
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Question 577235: Question Part
Points
1
–/10
Total
–/10
...Given that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10, P(85 ≤ X ≤ 90) is:
a. 0.5328
b. 0.1498
c. 0.5841
d. 0.3413
e. 0.1915


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Question 577228: The ages of 10 students are listed in years:{ 17,22,19,24,21,23,29,18,22,28 }
(a) Find the mean, median, mode, sample variance, and range.
(b) Do you think that this sample might have come from a normal population? Why or why not?

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Question 577290: If g(x)=8-7x and h(x)=6x+x^2, find g(-9).
Click here to see answer by solver91311(24713) About Me 

Question 577313: You spin the pointer on this spinner. What is the probability that the pointer will stop on a number greater than 5
Click here to see answer by stanbon(75887) About Me 

Question 577308: A group consisting of 5 women and 4 men are placed at random in 9 chairs in a row. What is the probability that the result is an alternate seating arrangement
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Question 577301: A box contains several slips of paper. On each slip is a different even number between 5 and 15 so that every possible even number is written on a slip of paper exactly once. You draw one slip without looking.

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Question 577298: x(x^-3)^6(xy^6xy^-6)^-4y^4
--------------------------
(y^4)^5x^-3(y^3)^5

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Question 577294: According to the "January theory," if the stock market is up for the month of January, it will be up for the year. If it is down in January, it will be down for the year. According to an article in The Wall Street Journal, this theory held for 25 out of the last 34 years. Suppose there is no truth to this theory; that is, the probability it is either up or down is 0.5.


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Question 577186: what is the probability of getting 21 when i roll a cube which has the numbers 17, 20, 21, 23, 24, and 26 on it
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Question 577288: A number is chosen at random from the whole numbers 11 through 30. How many outcomes are in teh event choose a perfect square or a multiple of 9 or a prime number?
Click here to see answer by josmiceli(19441) About Me 

Question 577423: How many 4 digit combinations can be made from using numbers 1-4?
Click here to see answer by varun(12) About Me 

Question 577420: :you need to use plus,division and multiplication and use the 5 given number to be equal to 17
Click here to see answer by varun(12) About Me 

Question 577435: if i had 300 marbles 10% were green and 25% pink how many blue would there be
Click here to see answer by varun(12) About Me 

Question 577185: evaluate the factorial expression 2!=?

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

Question 577535: HOW COULD A PERSON COME UP WITH A 6 MINUTES AS THE LENGTH OF TIME OVER ALL WITH 33 QUESTIONS(THAT MUST BE READ ON THE SCREEN AND SAY IT OVER THE PHONE) AND HAS A PR OF 3.7 (WHICH I HAVE NO IDEA) AND WHERE N=800 (ALSO NOT FAMILIAR)
ON MY OWN SOLUTION THAT I CAME UP WITH, WERE AS FOLLOWS: 6*60(SECONDS)=360sec, now 360sec./33 (questions) = 10.90sec (would that be possible? because then 10.90sec and a 2way conversation will also have to divide in 2, which left me with a 5.45sec. question is that is it really possible to come up with a 6 minutes of time with a 33 questions?
i am just curious due to the fact that i am trying to do my best which i have also done it but with 3 completed task i have the total of 28 minutes so my average was approximately 9.33minutes which also i did a ~17sec per question.
help me understand how they can come up with what i have explained above..
thank you
Adam8249

Click here to see answer by Alan3354(69443) About Me 

Question 577597: You draw 6 cards from a standard 52-card deck.
A) If the order is not important, what is the total number of possible groups of 6 cards?
b)What is probability of that the 6 cards include exactly 3 queens?
c) What is probability of that The 6 cards include exactly 2 kings?
d) What is probability of that The 6 cards include exactly 3 queens and 2 kings?

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Question 577633: A purse contains 5 nickels, 3 quarters and 2 dimes. If three coins are selected without replacement, what is the probability of selecting 2 nickels and a dime in that order?
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Question 577602: A card is drawn from a standard deck of cards, what is the probability that it will be a 6 or an ace?
Click here to see answer by richard1234(7193) About Me 

Question 577755: determine the odds against the spinner landing on blue. 3 reds, 2 yellows, 2 blues, and 1 green. Don't quite understand somebody please help
Click here to see answer by jim_thompson5910(35256) About Me 

Question 577495: 51 is the sum of 11 and Donnies savings use the varilble d to represent Donnies savings.
Click here to see answer by richard1234(7193) About Me 

Question 577395: q. A closed cylindrical container has a surface area of 400cm2. Determine the dimensions for maximum volume.


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Question 577567: A sample of size 7 (n = 7) has a mean of M = 9.
One of the sample scores is changed from x = 19 to x = 5. What is the value for the new sample mean?

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Question 577838: all election poll reported that a candidate had the approval rating of 50% with a margin of error E of 3%. Construct a confidence interval for the proportion of adults who approve of the candidate
Click here to see answer by stanbon(75887) About Me 

Question 577768: Select 8 cards with replacement from a standard 52-card deck and observe whether a ten is drawn. Determine whether this experiment is a binomial experiment. If not, explain what property of a binomial experiment fails.

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Question 577768: Select 8 cards with replacement from a standard 52-card deck and observe whether a ten is drawn. Determine whether this experiment is a binomial experiment. If not, explain what property of a binomial experiment fails.

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Question 577756: The probability of getting a score over 650 µ = 10 σ = ? x = 500
Formula z = X - µ
over σ

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Question 577857: Given P(A)=0.2; P(B) = 0.5, P(A|B) = 0.3:
(a) Compute P(A and B).
(b) Compute P(A or B).
P(A) = 0.2; P(B) = 0.5; PA\B) = 0.3;
Compute P(A and B)
Note = P(A) = 1 P(A)
0.2 =1 P(A)
.2 = 1.0 P(A)
Please help me with this problem. So I can understand what I am doing.
Thanks

Click here to see answer by jim_thompson5910(35256) About Me 
Question 577857: Given P(A)=0.2; P(B) = 0.5, P(A|B) = 0.3:
(a) Compute P(A and B).
(b) Compute P(A or B).
P(A) = 0.2; P(B) = 0.5; PA\B) = 0.3;
Compute P(A and B)
Note = P(A) = 1 P(A)
0.2 =1 P(A)
.2 = 1.0 P(A)
Please help me with this problem. So I can understand what I am doing.
Thanks

Click here to see answer by spunky(1) About Me 

Question 577849: find the mean, variance and standard deviation of the binomial distribution with the given values of n = 128 and p = 0.77
Click here to see answer by jim_thompson5910(35256) About Me 

Question 577356: Given that P = .77 for high school graduation, what is the probability that a randomly selected student will NOT graduate?
. .59
B. .23
C. 1.44
D. 0
E. You can't tell from the information given.
.

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

Question 577284: What is the x-coordinate of the vertex of the graph of f(x)=-7(x-9)^2+3?
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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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