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

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Question 625584: 3. Fifteen persons reporting to a Red Cross center one day are typed for blood, and the following counts are found:
Blood group O A B AB
No.of persons 2 6 8 1
If one person is randomly selected, what is the probability that this person's blood group is: AB? (Points : 1)
( ) 1/17
( ) 2/17
( ) 1/15
( ) 1/8

Click here to see answer by lynnlo(4176) About Me 

Question 625582: 2. A letter is chosen at random from the word "CAROL". What is the probability that it is a vowel? (Points : 1)
( ) 0.25
( ) 0.50
( ) 0.40
( ) 0.33

Click here to see answer by lynnlo(4176) About Me 
Question 625582: 2. A letter is chosen at random from the word "CAROL". What is the probability that it is a vowel? (Points : 1)
( ) 0.25
( ) 0.50
( ) 0.40
( ) 0.33

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

Question 625558: A card is drawn at random from a standard deck of playing cards where Aces are high. What is the probability that the card is less than a 6 given: the card is a heart? Round your answer to two decimal places.
Click here to see answer by reynard2007(52) About Me 

Question 625661: 5. For two events A and B, the following probabilities are given.
P(A) = 0.4, P(B) = 0.25, P(A | B) = 0.6
Use the appropriate laws of probability to calculate P(A ∪ B) .
( ) 0.45
( ) 0.50
( ) 0.44
( ) 0.73

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

Question 625665: 10. Match the proposed probability of A with the appropriate verbal description.

( ) Very likely to happen
( ) As much chance of occurring as not
( ) No chance of happening
( ) An incorrect assignment


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

Question 625664: 9. About 71% of dog owners buy holiday presents for their dogs. Suppose n = 4 dog owners are randomly selected. Find the probability that three or more buy their dog holiday presents.

Round to four decimal places.
( ) 0.7321
( ) 0.6867
( ) 0.6693
( ) 0.8934

Click here to see answer by oscargut(2103) About Me 

Question 625745: Roll total (die 1, die 2) Number of combinations Probability

2 (1,1) 1 1/36
3 (1,2) or (2,1) 2 2/36
4 (1,3), (2,2), (3,1) 3 3/36
5 (1,4), (2,3), (3,2),(4-1) 4 4/36
6 (1,5), (2,4), (3,3), (4,2), (5,1) 5 5/36
7 (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) 6 6/36
8 (2,6), (3,5), (4,4), (5,3), (6-2) 5 5/36
9 (3,6), (4,5), (5,4), (6,3) 4 4/36
10 (4,6), (5,5), (6,4) 3 3/36
11 (5,6) or (6,5) 2 2/36
12 (6,6) 1 1/36

Total _36__
Using the above probabilities, the probability of rolling a 5 or a 7 is: _____?

Click here to see answer by oscargut(2103) About Me 

Question 625795: In a certain experiment, one person from a group of thirty will be selected to take one of three drugs. In how many ways can the experiment be performed?
Click here to see answer by oscargut(2103) About Me 

Question 625785: assume the random variable x is normally distributed with mean u=50 and standard deviation of 7. find the probablity p(x>34)

Click here to see answer by oscargut(2103) About Me 

Question 625817: It is known that the population mean for the verbal section of the SAT is 500 with a standard deviation
of 100. In 2006, a sample of 400 students taking SAT whose family income was between $70,000 and
$80,000 had a verbal SAT score of 511. Find the 99% confidence interval for this group.

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

Question 625988: (a) A problem in business statistics is given to five students A,B,C,D and E.
Their chances of solving it are 1/2, 1/3, 1/4, 1/5 and 1/6 . What is the probability that the problem will be solved?
(b) The odds that A speaks the truth is 3:2 and the odds that B speaks the truth is 6:3. In what percentage of the cases are they likely to contradict each other on an identical point?

Click here to see answer by Emsley(35) About Me 

Question 625986: Currently an average of 25 residents of the village of Westport (Population 1260) dies each year.
A)Find the mean number of deaths per day?
B)Find the probability that on a given day there are no deaths.
C)Find the probability that on a given day there is one death.
D)Find the probability that on a given day there is more than 1 death.
E) Based on the results, should westport have a contingency plan to handle more than 1 death per day. Why or why not?

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

Question 625941: The probabilities that a batch of 4 computers will contain 0,1,2,3, and 4 defective computers are 0.6274, 0.3102, 0.0575, 0.0047, and 0.0001, respectfully. Find the standard deviation for the probability distribution.
Click here to see answer by Theo(13342) About Me 

Question 626064: Solve for x. Round to three decimal places
e^x=15

Click here to see answer by Alan3354(69443) About Me 
Question 626064: Solve for x. Round to three decimal places
e^x=15

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

Question 626018: A machine has 7 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than two of the components fail. Find the probability that the machine will be working.
Click here to see answer by saliiim8(6) About Me 

Question 626204: If the probabilities are respectively, 0.09, 0.15, 0.21 , and 0.23 that a person purchasing a new automobile will choose the colors green, white, red or blue, what is the probability that a given buyer will purchase a new automobile that comes from one of these color?
Click here to see answer by Theo(13342) About Me 

Question 626242: You toss two coins. What is the probability P that both are tails?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 626241: You have a bag of 56 marbles, 24 of which are blue. What is the
probability that you will choose a blue marble?
Please express your answer as a fraction in simplest terms.

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

Question 626246: Suppose that you have 8 cards. 5 are green and 3 are yellow. The 5 green cards are numbered 1, 2, 3, 4, and 5. The 3 yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card.
• G = card drawn is green
• Y = card drawn is yellow
• E = card drawn is even-numbered
List: 1)simple space,
2)Enter probability P(G) as a fraction
3)P(G/E)
4)P(G AND E)
5)P(G or E)
6)Are G and E are mutually exclusive
Thank you so much

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

Question 626355: Hi.
I often want to calculate stuff like the example listed below, but am not sure how to do it. I don’t want to bother others with that, would love to learn how to do it properly myself. Can you please help me out?
6 competitions are being played.
In each of them there are 32 teams (a total of 192 teams).
What are the chances (probability) of someone predicting all champions correctly (if we assume there are no favourites nor underdogs, all teams are of exactly the same strength on paper).
Cup A – 32 teams
Cup B – 32 teams
Cup C – 32 teams
Cup D – 32 teams
Cup E – 32 teams
Cup F – 32 teams
I’m interested in the probability of guessing all six champions, also (if it’s not too much work to calculate), what is the probability of guessing 5/6, 4/6 and 3/6.
I am not using this for any real-life betting, it’s just for an online management game with no money involved. :) Thanks!!

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

Question 626452: The graph below displays how many pieces of candy Timmy and his five friends each received last Halloween. Within how many standard deviations of the mean do the values fall?
16 19 25 32 38 40

A. 2

B. 1

C. 3

D. 4

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

Question 626449: According to one study, 61% of the population swallow at least one spider per year in their sleep. Based on this study, what is the probability that exactly 7 of 10 randomly selected people have swallowed at least one spider in their sleep in the last year?

A. 70%


B. 22%


C. 1%


D. 34%

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

Question 626509: For a normal distribution that has a mean of 100 and a standard deviation of 8. Determine the Z-score for each of the following X values:
X=70 Z=-3.75
X=124 Z=3
Use the information in 1 to determine the area or probability of
p(92 < x < 108)
p(84 < x < 116)
p(x < 84)

Click here to see answer by stanbon(75887) About Me 
Question 626509: For a normal distribution that has a mean of 100 and a standard deviation of 8. Determine the Z-score for each of the following X values:
X=70 Z=-3.75
X=124 Z=3
Use the information in 1 to determine the area or probability of
p(92 < x < 108)
p(84 < x < 116)
p(x < 84)

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

Question 626451: The probability that a dessert sold at a certain cafe contains chocolate is 86%. The probability that a dessert containing chocolate also contains nuts is 30%. Find the probability that a dessert chosen at random contains nuts given that it contains chocolate. Round to the nearest tenth of a percent.

A. 36.6%


B. 28.7%


C. 34.9%


D. 56.0%

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

Question 626447: Mrs. Jones Algebra 2 class scored very well on yesterday’s quiz. With one exception, everyone received an A. Within how many standard deviations from the mean do all the quiz grades fall?
91, 92, 94, 88, 96, 99, 91, 93, 94, 97, 95, 97
A. 2

B. 1

C. 3

D. 4

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

Question 626540: kisha has five different marbles. How many different ways can she place the marbles into two bags so that at least one marble is in each bag
a 15
b 60
c 30
d 25

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

Question 626590: In a large population, 63 % of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
Give your answer as a decimal (to at least 3 places) or fraction

Click here to see answer by reviewermath(1029) About Me 

Question 626594: You pick 2 digits (0-9) at random without replacement, and write them in the order picked.
What is the probability that you have written the first 2 digits of your phone number? Assume there are no repeats of digits in your phone number.
Give your answer as a fraction.

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

Question 589788: Flight School Graduation: At a recent graduation at a naval flight school 18 marines, 10 members of the navy, and 3 members of the coast guard got their wings. choose 3 pilots at random to feature on a training brochure. find the probability that there will be
a. 1 of each
b. 0 members of the navy
c. 3 marines

Click here to see answer by nomsa2010(1) About Me 

Question 626655: A box contains 10 chips. Seven of the chips are perfect, but the remaining three have some imperfection.
In a random drawing of 4 chips without replacement, what is the probability that all the chips are perfect?

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

Question 626661: 18m=6(m-12), can't solve this problem

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

Question 626663: A box contains 10 chips. Seven of the chips are perfect, but the remaining three have some imperfection.
In a random drawing of 4 chips with replacement, what is the probability that none of the chips are perfect?
In a random drawing of 4 chips without replacement, what is the probability that none of the chips are perfect?

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

Question 626672: A box contains 10 chips. Seven of the chips are perfect, but the remaining three have some imperfection.
In a random drawing of 4 chips without replacement, what is the probability that all the chips are perfect?
In a random drawing of 4 chips with replacement, what is the probability that none of the chips are perfect?
In a random drawing of 4 chips without replacement, what is the probability that none of the chips are perfect?

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

Question 626670: Determine the probability of winning the florida lottery. Assume there are 5 numbers each of which can have a value from 1 to 53. No repeats are allowed
Click here to see answer by fcabanski(1391) About Me 

Question 626676: If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. The cost to play the game is $5. What is the expected value of this game?
Click here to see answer by stanbon(75887) About Me 

Question 626694: I could use some help getting my thoughts and formulas together. Could you help me with this problem please.
The diameters of apples in a certain orchard are normally distributed with a mean of 4.45 inches and a standard deviation of 0.42 inches. Show all work.
(A) What percentage of the apples in this orchard is larger than 4.38 inches?
(B) A random sample of 100 apples is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 4.38 inches?

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

Question 626712: need help solving this story problem. My solution is not matching the problem.
Jim and bob are panning for gold in Leadvill, Colorado. The ratio of gold found by Jim to gold found by Bob is 4:7. If they two men together find a total of 55 pieces of gold, find how man pieces of gold each man found.

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

Question 626948: What is the probability of rolling a 2, 4 or 8 on a single roll of 2 die
Click here to see answer by psbhowmick(878) About Me 

Question 626949: 88% Confidence Interval Upper and Lower Limit. Graph
Click here to see answer by ewatrrr(24785) About Me 

Question 626951:
Click here to see answer by psbhowmick(878) About Me 

Question 626952: What is the probability of rolling a 2, 4 or 8 on a single roll of 2 die?
What is the probability of not rolling any of the numbers above on a single roll.
Hint: ( Use compliment rule).

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

Question 626954: a multiple choice test has 25 questions with four responses each. in order to pass you must get at least 15 right. what is the probability of passing if you guess on all 25?
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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