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

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Question 432710: Need help with this Problem... Thank You!!
23. At a quality control checkpoint on a manufacturing
assembly line, 10% of the items failed check A, 12%
failed check B, and 3% failed both checks A and B.
a. If a product failed check A, what is the probability
that it also failed check B?
b. If a product failed check B, what is the probability
that it also failed check A?
c. What is the probability that a product failed either
check A or check B?
d. What is the probability that a product failed neither
check A nor check B?

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

Question 432708: Need Help With This Problem.. Thank You!!!
17. In a subdivision, 67% of the homes have detached
garages, 32% have a patio, and 13% have both. What is
the probability that a house has a patio if you know that
it has a detached garage?

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

Question 432709: Need Help With This Problem...Thank You!!
19. A box contains three black balls and two gold balls. A ball is selected at random, its color is recorded, and it is then replaced. A second ball is then selected at random and its color recorded. The outcome associated with this type of selection is an ordered pair (first draw, second draw).
a. List a sample space for this experiment.
b. What is the probability that both balls are black?
c. What is the probability that both balls are gold?
d. Why doesn’t the sum of the probabilities in parts (b)
and (c) total 1?

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

Question 432834: If I am dealt 4 cards from a deck of 52 cards what is the probability that all 4 will be hearts?
Click here to see answer by stanbon(75887) About Me 

Question 432850: Suppose we roll two ordinary, 6-sided dice. What is the expectation of the sum
of the two values showing? What is the expectation of the maximum of the two
values showing?

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

Question 432876: A bag contains 2 A's, 3 B's, and 4 C's. You choose a letter and replace it. Then you choose another. What is the probability of choosing the combinations below:
1. (A)
2. (A,B)
3. (B,B)
4. (C,C)
5. (B,C)
6. (C,B)

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

Question 432936: I KNOW THE ANswER TO A,B,C, I JUST CANT UNDERSTAND PART D???
A box contains three black balls and two gold balls. A ball
is selected at random, its color is recorded, and it is then
replaced. A second ball is then selected at random and its
color recorded. The outcome associated with this type of
selection is an ordered pair (first draw, second draw).
a. List a sample space for this experiment.
b. What is the probability that both balls are black?
c. What is the probability that both balls are gold?
d. Why doesn’t the sum of the probabilities in parts (b)
and (c) total 1?


Click here to see answer by rwm(914) About Me 

Question 432909: Ten lines in the table contain 400 digits. The count of 0's in these lines is approximately Normal with
a.) mean 40 and standard deviation 36.
b.) mean 40 and standard deviation 6.
c.) mean 36 and standard deviation 6.

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

Question 433000: A national survery showed that 65% of kids hate veies. If 3 kids are chosen from random, what is the probability that all 3 will hate veggies? write as a percent to the nearest tenth
Click here to see answer by robertb(5830) About Me 

Question 432856: Assume the probability of a girl being born is the same as the probability of a boy being born. In a family of four children, find the probability of two boys and two girls.
Click here to see answer by robertb(5830) About Me 

Question 432908: The probability of finding exactly 4 0's in a line 40 digits long is about?
The mean number of 0's in a line 40 digits long is?

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

Question 433044: Determine the size of the sample space for each of the following experiments:
a) Tossing a coin AND rolling a six sided die.
b) Selecting a letter of the alphabet without replacement and then selecting a second letter from the remainder of letters.
c) What mathematical principle did you use for parts a & b?

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

Question 432957: A group contains 5 men and some women. In a random of selection, the probability that the first two people randomly picked were men, is 2/11. What is the probability that the third person picked from the group is a woman?
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 433056: Nielsen Media Research wants to estimate the mean amount of time(in minutes) that full-time college students spend watching television each weekday. find the sample size necessary to estimate that mean with a 15-min margin of error. Assume that a 96% confidence level is desired. Also assume that a pilot study showed that the standard deviation is estimated to be 112.2 minutes.
Click here to see answer by stanbon(75887) About Me 

Question 433052: please help
1)In planning for hot water requirements, the manager of the Crowne plaza hotel finds that guest spend a mean of 11.4 minutes each day in the shower. Assume that the shower times are normally distributed with a standard deviation of 2.6 minutes. a) find the percentage of guess who shower more than 12 mintues. b)The hotel has installed a system that can provide enough hot water provided that the mean shower time for 84 quest is less than 12 mintues. If the hotel currently has 84 guest, find the probability that there will not be enough hot water . Does the current system appear to be effective ?

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

Question 433048: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 98% of all males. Men have hip breadths that are normally distributed with a mean of 14.4 inches and a standard deviation of 1 inch. find P98. I really don't understand, help needed please.
Click here to see answer by stanbon(75887) About Me 

Question 433117: At advertisement clains that 55% of the users cut their recovery time from a cold in half. A random sample of 7 people is selected.find the probability that exactly 5 recover in half the time.
Click here to see answer by stanbon(75887) About Me 

Question 433073: Determine the angle of elevation or depression
An escalator descends 100feet for each horizontal distance of 240 feet.

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

Question 433172: A resort tracks the number of days each guest stays. They've discovered that this variable is normally distributed with a mean of 9 days and a standard deviation of 3. They would expect 10% of the guests stay longer than how many days?
Click here to see answer by ewatrrr(24785) About Me 

Question 433174: A sample of 50 Hummer owners revealed that 40 have cut back on their driving due to the increased cost of gasoline. Give a 90% confidence interval for the proportion of Hummer owners who plan to cut back their driving.
Click here to see answer by stanbon(75887) About Me 

Question 433070: A space shuttle is directed towards the Moon but drifts 0.8 degree from its calculated path. If the distance from Earth to the Moon is 240.000mile, how far has the space shuttle drifted from its path when it reaches the Moon?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 433205: can someone help me with this problem is about probability. find the probability of choosing either multiple of 4 or multiple of 5?
Click here to see answer by richard1234(7193) About Me 

Question 433286: In a box of thrity aaa batteries there are three defective batteries. Two batteries are randomly selected and tested. What is the probability that both are defective, if the first one is not replaced after being tested
Click here to see answer by katealdridge(100) About Me 
Question 433286: In a box of thrity aaa batteries there are three defective batteries. Two batteries are randomly selected and tested. What is the probability that both are defective, if the first one is not replaced after being tested
Click here to see answer by stanbon(75887) About Me 

Question 433289: A lighthouse is observed by a ship’s office on watch at an angle of 42 degree to the path of the ship. At the next sighting the lighthouse is observed at an angle of 90 degree to the path of the ship. The distance travel between sightings is 1800 m .To the nearest meter, how far away is the ship to the lighthouse at this second sighting?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 433308: Find the probability of drawing at least 1 club when you draw cards from a standard deck 13 times, assume that you replace the card each time you draw, so there are always 52 cards to draw from. Round 3 decimal places
Answers given are: 0.976, 0.024, 0.008, and 0.647

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

Question 433294: An insurance company will insure a $240,000 home for its total value for an annual premium of $600. If the company spends $30 per year to service such a policy, the probability of total loss for such a home in a given year is .001 and you assume either total loss or no loss will occur, what is the company's expected annual gain (or profit) on each such policy.
Click here to see answer by jorel1380(3719) About Me 

Question 433384: The monthly starting salaries of students who receive engineering degrees have a standard deviation of $600. What sample size should be selected so that there is 0.95 probability of estimating the mean monthly income within $150 or less?
Click here to see answer by stanbon(75887) About Me 

Question 433383: In a local university, 40% of the students live in dormitories. A random sample of n = 80 students is selected for a particular study.
(a) What is the sampling distribution of P? Please provide its general shape, its standard deviation, and its mean.
(b) What is the probability that the sample proportion (the proportion living in the dormitories) is between 0.30 and 0.50?

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

Question 433400: Annual starting salaries for college graduates with business administration degrees are believed to have a standard deviation of approximately $2000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is
(a.) $500 ___________
(b.) $200 ___________
(c.) $100 ___________

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

Question 433426: A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $3.35, with a standard deviation of $26.70 Based on this information, complete the following statements about the distribution of the company's fares from O'Hare Airport to the Drake Hotel.
A. According to Cheb. Therom what percentage of fares fall between $20.00 and $33.40.
B. According to Cheb Therom 84% of all fares fall between $XX.XX and $XX.XX
C. Suppose the disatribution is bell shaped, according to the emperical rule, 99.7% of the fares fall between $xx.xx and $xx.xx
D. Suppose dist. is a bell curve, according to the emperical rule, what percentage of fares fall between $20.00 and $33.40

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

Question 433452: Please help me with this difficult homework problem:
A company uses printer cartridges from three manufacturers. Manufacturers A, B, and C supply, respectively, 60%, 30%, and 10% of the company’s cartridges. 1% of cartridges from A, 2% from B, and 3% from C are defective. If a cartridge is randomly chosen and found to be defective, what is the probability that it is from manufacturer C?

Click here to see answer by stanbon(75887) About Me 
Question 433452: Please help me with this difficult homework problem:
A company uses printer cartridges from three manufacturers. Manufacturers A, B, and C supply, respectively, 60%, 30%, and 10% of the company’s cartridges. 1% of cartridges from A, 2% from B, and 3% from C are defective. If a cartridge is randomly chosen and found to be defective, what is the probability that it is from manufacturer C?

Click here to see answer by MathLover1(20849) About Me 

Question 433456: I cant finish these homework problems. The problem is set up as a rectangle with 6 columns down and 3 rows across. a is in the left corner and z is in the bottom right. b is located 2 columns across starting at a, one row down. C is located 3 columns across ad 2 rows down from a.
a[][][][][][]
[][]b[][][][]
[][][]c[][][]z

) Given that a route passes through B, what is the probability that it also passes through point C? Answer in fraction.

Click here to see answer by stanbon(75887) About Me 
Question 433456: I cant finish these homework problems. The problem is set up as a rectangle with 6 columns down and 3 rows across. a is in the left corner and z is in the bottom right. b is located 2 columns across starting at a, one row down. C is located 3 columns across ad 2 rows down from a.
a[][][][][][]
[][]b[][][][]
[][][]c[][][]z

) Given that a route passes through B, what is the probability that it also passes through point C? Answer in fraction.

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

Question 433459: The thirteen diamonds are separated from a deck of cards. What is the probability that the face cards (K, Q, & J) are in a set of five randomly selected cards from this set?
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 433449: You are to perform in a musical program with ten performances. If the order of performances is randomly selected, what is the probability that your performance will be in the first half?
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 433526: odds in favour of newyears days falling on a friday
Click here to see answer by belle3833(46) About Me 

Question 433570: In a drawer there are 5 classical CDs and 4 Rock n Roll CDs. Armon randomly picks 3 CDs. What is the probability that he selected 2 classical and 1 Rock n Roll CD?
Can you solve without using Combinations?

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

Question 433751: 1. How many different 5-card poker hands can be dealt from a standard deck of 52 cards? (I already have this answer, but the rest of the questions build on this.)
b) What is the probability that you will draw five face cards?
c) What is the probability that you will not draw any face cards?
d) What is the probability that you will draw 2 face cards, 1 ace, and 2 number cards?
e) What is the probability that you will draw at least one number card?

Click here to see answer by psbhowmick(878) About Me 

Question 433780: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
9x – 2y = 88
-9x + 2y = -88
0 0 =0 I am not sure this is right please help

Click here to see answer by psbhowmick(878) About Me 

Question 433823: i have a bike lock locked on my bike and i wanted to find out my combination. that way i can lock it onto something so nobody steals it. It has FOUR slots with six numbers on each. what are all of the possible outcomes of it?
Click here to see answer by stanbon(75887) About Me 

Question 433974: A pair of dice is rolled. What are the odds against rolling a sum of 5?
Thank you for your help!

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

Question 433985: Copykwik has a four photocopy machines: A B C and D The probability that a given machine will break down ona particular day is
P(A)= 1/50 P(B)= 1/60 P(C)= 1/75 P(D)= 1/40
assuming independence, what is the probability on a particular da that.
a. All four machines break down?
b. None of the machines will break down?

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

Question 434238: The price of a car decreases in value 5% per year. FInd the cost of the car, to the neasest dollar, in parts "a" and "b." The present value is $16000. a. Find the value in 30 months. b. Find the value 6 months ago
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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