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

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Question 850011: You are doing two projects P and Q. The probability that project P is
successful is equal to 2/3 and the probability that project Q is successful is equal to 4/5.
Whether or not these two projects are successful are independent of each other.
What is the probability that both P and Q are not successful?

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

Question 849998: drawing balls from an urn. Anne randomly chooses a single ball from the urn shown here, x represents the color of the ball chosen. Construct a complete probability distribution for the random variable x.
3 red
5 yellow
2 blue

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Question 849997: The mean salary offered to students who are graduating from Coastal State University this year is $24,245, with a standard deviation of $3712. A random sample of 85 Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these 85 students is $23,500 or more?
Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

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Question 850040: the probability of having four children and all four are boys is 1/16; however is it likely to happen? and why or why not?
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Question 850043: Please help, question is; Suppose we select without looking, one marble from a bag containing 6 red marbles and 8 blue marbles.
a)what is the probability of selecting a blue marble on the first try?
b) if you return the marble to the bag, what is the probability of selecting a red marble?
c) if you first selected a red marble and you don't return that marble to the bag, what is the probability of the second draw being a blue marble?
d) Starting over with all the marbles in the bag, how many draws would you need to guarantee blue marble?

Click here to see answer by stanbon(75887) About Me 
Question 850043: Please help, question is; Suppose we select without looking, one marble from a bag containing 6 red marbles and 8 blue marbles.
a)what is the probability of selecting a blue marble on the first try?
b) if you return the marble to the bag, what is the probability of selecting a red marble?
c) if you first selected a red marble and you don't return that marble to the bag, what is the probability of the second draw being a blue marble?
d) Starting over with all the marbles in the bag, how many draws would you need to guarantee blue marble?

Click here to see answer by richwmiller(17219) About Me 

Question 850060: A sample of 168 residents were asked how much they spent on lottery tickets. 108 spent $0, while the mean expenditure for the remaining residents was $19. The largest expenditure was $235. What is the median of the data?
Click here to see answer by swincher4391(1107) About Me 

Question 850098: the probability of passing an exam is 0.8,what is the probability of failing the exam
Click here to see answer by Fombitz(32388) About Me 

Question 850071: a manufacturer packages bolts in boxes containing 100 each. Each box of 100 bolts contains, on average, 5 defective bolts. the quality control staff randomly selects a box at the end of the day from an entire production run.
A. what is the probability, rounded to four decimal places, that the box will contain exactly 3 defective bolts
B. What is the probability, rounded to four decimal places that the box will contain at most 7 defective bolts?
c. what is the probability, rounded to four decimal places that the box will contain less than 4 defective bolts?

Click here to see answer by ewatrrr(24785) About Me 

Question 850137: Was wondering if someone could give me the probability and the equation to solve the following.
Two teams are to play four games against each other. In each game Team A is 45% to win and team B is 55% to win. What it the probability of Team A winning 2 or more of the games (i.e. 2,3 or 4)? Also if you can show me how to figure it out that would be great.
Thanks

Click here to see answer by ewatrrr(24785) About Me 
Question 850137: Was wondering if someone could give me the probability and the equation to solve the following.
Two teams are to play four games against each other. In each game Team A is 45% to win and team B is 55% to win. What it the probability of Team A winning 2 or more of the games (i.e. 2,3 or 4)? Also if you can show me how to figure it out that would be great.
Thanks

Click here to see answer by rothauserc(4718) About Me 

Question 850143: all the black face cards are removed from a pack of 52 playing cards. the remaining cards are well shuffld and then a card is drawn at random. find the probability of getting a
1. face card
2. red card
3. black card
4. king

Click here to see answer by ewatrrr(24785) About Me 
Question 850143: all the black face cards are removed from a pack of 52 playing cards. the remaining cards are well shuffld and then a card is drawn at random. find the probability of getting a
1. face card
2. red card
3. black card
4. king

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

Question 850156: at a local clinic there are 10 men, 8 women. if 3 patients are selected at random find the probability that at least one of the patients is women.
Click here to see answer by ewatrrr(24785) About Me 

Question 582636: A drama teacher is randomly choosing students for r different roles in a play. There are 8 students from which to choose and the numver of possible outcomes is 56. How many roles r are in the play?

Click here to see answer by richwmiller(17219) About Me 

Question 850205: 6 daily flights each have 20 passengers. calculate the probability that the airline will award two or more prizes that month.
How do i do this??

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Question 850091: Five locks and five keys of lock fall down to the ground. Then how many tries are needed match each lock with its correct key?
Click here to see answer by richwmiller(17219) About Me 

Question 850274: Car a had 1.32 problems found in one year. What is the probability of buying Car a with zero problems
Click here to see answer by richard1234(7193) About Me 

Question 850328: Maggie is applying to college. There are only two outcomes for each application. It is either accepted or rejected. Each application she sends has a 0.70 probability of being accepted. She applies to 10 colleges. (2 points)
What is the expected value and variance for the random variable “number of acceptances”?



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Question 850402: Help PLEASE! what is 11 P 11 thats how it shows up on my assignment .. i dont know what its wanting.
Click here to see answer by Seutip(231) About Me 

Question 850448: How many license plates consisting of two letters (uppercase) followed by four digits are possible?
Click here to see answer by Alan3354(69443) About Me 

Question 850582: You are dealt 1 card from a standard deck of 52.
Find the probability of being dealt a club

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

Question 850567: Please help me solve this problem:
If P(A)=.6 and P(B)=.7 and P(A and B)=.3, what is P(A or B)?

Click here to see answer by harpazo(655) About Me 

Question 850492: Please help me solve: If P(A)=.6 and P(B)=.7 and P(A and B)=.3, what is P(A or B)?
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Question 850586: How many different arrangements of the word ADDAX have neither the two As adjacent to each other nor the two Ds?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 850608: An experiment consists of choosing one card from a standard deck and then replacing it. The experiment was done several times and the results are :8 hearts, 8 diamonds, 6 spades, and 6 clubs. Find the experimental probability that a card is red

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Question 850733: There is 1 chance In three that firefighters will strike & 1 chance in 7 that police will strike. Assume that events are independent. What is the probability that both will strike?
Click here to see answer by Fombitz(32388) About Me 

Question 850728: In a hockey match,both teams A& B scored same number of goals up to the end of the game, so to decide the winner, referee asked both the captains to throw a die alternatively and decided that the team, whose captain gets a six first, will be declared the winner. If the captain of team A was asked to start, find their respective probabilities of winning the match and state whether the decision of the referee was fair or not.

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Question 850559: 3. Find the correlation coefficient from the data below.

3.8 7
4.2 7
4.8 11
4.1 12
5 12
5.3 12
4.2 13
2.4 17
3.7 17
5.3 17
5.8 18
6 18
5.9 21
6.3 21
5.5 20
6.5 24

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

Question 850571: Several friends charter a boat, they caught a total of 53 fish
Fish Number caught
Grouper 10
Shark 17
Flounder 5
Kingfish 21
Determine the empirical probability of the next fish caught will be a shark

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Question 850519: In a rabbit family with 4 offsprings find the probability that there will be at least 1 male and 1 female in the offsprings
Click here to see answer by Fombitz(32388) About Me 

Question 850750: 1. A random sample of size n = 25 is chosen from a normal population with known mean, m=8, and s.d., s = 4.
I know the sampling distribution of the sample mean is .8 but I don't understand this question:
Determine the probability of having a sample mean less than 7.
or
having a sample mean between 7 and 9.
I just need to figure out how to do this because I can't figure it out, if you could explain it to me!

Click here to see answer by ewatrrr(24785) About Me 

Question 850760: Twelve couples attend a benefit dinner at which two prizes are given. In how many ways can two names be randomly drawn so that the prizes are not awarded to the same couple?
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Question 850781: the following observation have been arranged in ascending order if the median of the data is 63,find the value of x.29,32,48,50,x,x+2,72,78,84,95.
Click here to see answer by richwmiller(17219) About Me 
Question 850781: the following observation have been arranged in ascending order if the median of the data is 63,find the value of x.29,32,48,50,x,x+2,72,78,84,95.
Click here to see answer by ewatrrr(24785) About Me 

Question 850846: What is the mean of the following scores?
450,620,410,405,444,560,511,501,455,476,477,487,496,491,555,587,
465,467,495,434,334,432,321,667,564,656,781,757,723,768,871,345,
432, 345, 675, 689,633, 641, 600, 535, 456, 543, 541, 734, 766, 721,

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

Question 850815: A hat contains 3 marbles. one orange, one blue, and one yellow. Two marbles are selected at random with out replacement from the hat.
A) Determine the number of points in the sample.
B) Determine the probability of selecting exactly 1 orange marble.
C) Determine the probability of selecting 1 marble that is not orange.
D) Determine the probability of selecting no blue marbles.

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

Question 850810: If P(A or B) =0.8
P(A)=0.4 and
P (A and B)= 0.35
Find P(B)

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

Question 850818: Based on his past baseball history, Kurt has a (n) 15% chance of reaching first base safely, a (n) 7% chance of hitting a double, a (n) 5% chance of hitting a triple. a (n) 5% chance of hitting a home run, and a (n) 68% chance of making an out at his next at bat.
Determine Kurt's expected number of bases for his next at bat.

Click here to see answer by Theo(13342) About Me 

Question 850745: on the average, the number of defective diskettes produced per month is 60. on a given month, find the probability that the number of defective diskettes produced is less than 50
Click here to see answer by richard1234(7193) About Me 

Question 850859: x − 2y + z = 4
y + 6z =-1
z = 2

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Question 850801: find b if p= 84 and r= 77 7/9%
Click here to see answer by Fombitz(32388) About Me 

Question 850787: The Probability of getting a defective Widget is .10 You select five widgets =
A. What is the probability that at least one widget will be defective?
The way I set it up is using the formula: p(x) = nCx * p^x * q^n-x
p= .9 q=.10 n=5 and x=0, cause P(X >= 1) = 1 - P(X = 0)
= 1 - 5C0 * .90^0 * .10^5-0 = 1 - 1 * 1 * 0.00001 = 0.00001
I don't think this is right, please help.

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

Question 850808: assume there is a 4 person family and you are looking at the gender of the children. let the random variable X stand for the number of females in the 4 children in the sample.
list the discrete random variable distribution in table format for this situation. find the mean,variance, and standard deviation for this distribution.

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Question 851028:
A biologist finds that 24% of fruit flies have short wings and 47% have eye defects. Assuming these two events are independent, what is the probability that a randomly selected fruit fly has neither short wings nor eye defects?

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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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