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

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Question 894824: If 15 days are selected at random Then what is the probability of two Friday.
Click here to see answer by Fombitz(32388)

Question 894657: A book contain 100 pages.A page is chosen at random.The probability that sum of digit on page is equal to 9 is?
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Question 894926: Three fair coins are tossed. What is the probability that at least one is a head? (Enter the probability as a fraction.)

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Question 894924: The breaking strength (in pounds) of a certain new synthetic is normally distributed, with a mean of 145 and a variance of 4.The material is considered defective if the breaking strength is less than 141 pounds. What is the probability that a single, randomly selected piece of material will be defective? (You may need to use the standard normal distribution table. Round your answer to four decimal places.)

Click here to see answer by stanbon(75887)

Question 894914: In a bag of marbles, there are 5 brown, 6 yellow, 4 blue, 3 green, and 2 orange. What is the probability of getting 1 brown and 2 orange marbles if 3 are taken at a time?
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Question 894907: A manufacturer of a patent medicine claims that it is 90% effective in relieving an allergy for a period of 8 hours. 200 people that had an allergy were sampled and it was found that only 160 people received relief. Is the manufacture's claim legitimate?
assume a=0.01
Click here to see answer by stanbon(75887)

Question 894905: The length of stay for patients in some 20 hospitals was 3.8 days with a standard deviation of 1.2 days. Can you determine the confidence interval for the length of stay?
a=0.1
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Question 894999: a classroom has 10 boys and 5 girls; three students are selected from the class at random one after another. the probability that the first two are boys and the third is a girl

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Question 894962: what is the surface area with the length of 13 the width of 10 and the height of 2 inches

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Question 894850: suppose that there are 100 students in your accounting class, of whom 10 are left handed. two students are selected at random. what is the probability that atleast one is right-handed?
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Question 894846: a.Estimate a value of Z that the area under the standard normal curve to the
right of z is 0.25.
b find the area under the standard normal curve between z1= -2.50 and z2 = -1.25
c. estimate the value of z such that the area under the standard normal curve
between -z and z is 0.70.
d. for the standard normal curve find the value of z such that the area to
the left of -z plus the area to the right of z is 0.05.

Click here to see answer by stanbon(75887)

Question 895109: What are the odds that you will pick an ace from a standard deck of 52 cards?

Click here to see answer by josmiceli(19441)

Question 895113: The mean score for a standardized test is 1700 points. The results are normally distributed with a standard deviation of 75 points. If 10,000 students take the exam, how many would you expect to score above 1850 points?
Click here to see answer by reviewermath(1029)

Question 895126: What are the odds that you will pick a 5 from a standard deck of 52 cards?
What are the odds of rolling a number greater than 3 on a regular six sided die?
Click here to see answer by Theo(13342)

Question 895125: What is the probability of rolling a 5 on a six sided die and then rolling a 2?
Click here to see answer by Fombitz(32388)

Question 895192: Find the requested probability.
P(A) if P(A) = 0.8
P(A) =
Click here to see answer by richard1234(7193)

Question 895316: 2/5 of the total questions on a test have an answer choice of C. if 50 questions have the answer C, how many total questions are there?

Click here to see answer by mark_henrhiz(40)

Question 593926: The probability that a certain kind of flower seed will germinate is .80 [Note we assume Statistical Independence in seed germination].
If 200 seeds are planted, what is the probability that fewer than 150 will germinate?
What is the probability that at least 150 will germinate?
Click here to see answer by bmebbe10(1)

Question 895526: A standard 52-card deck is shuffled, and a card is drawn off the top. The card is recorded and replaced. This process is repeated 70 times. The results are in the table below. What is the experimental probability of drawing a 2, 3, 4, or 5?
Click here to see answer by Edwin McCravy(20081)

Question 895512: Two cards are drawn from a fifty-two-card deck.
What is the probability that the pair of cards drawn will be an Ace and a Face Card (King, Queen, or Jack) in any order?
Click here to see answer by Fombitz(32388)

Question 895565: A single card is selected from an ordinary deck of cards.Find the probabilities. (Enter the probabilities as fractions.)
(a)P(three of hearts)____?
(b)P(three) ____?
(c)P(heart) _____?

Click here to see answer by Fombitz(32388)

Question 895363: Three samples are taken simultaneously from a process that is know to produce 20% defects. What is the probability that all three samples will be good.
Click here to see answer by stanbon(75887)

Question 895594: 1) out of 8100 students, 45% are female. of the female students, 20% are aged between 40 and 50. how many students are female and aged between 40 and 50

Click here to see answer by rfer(16322)

Question 895647: Lisa has a set of 10 cards, numbered 1 through 10. If she picks a card at random, what is the probability that the card will be a factor of 8 ? (Answer in percentage)
Click here to see answer by richard1234(7193)

Question 895602: A restaurant association says the typical household spends a mean of $3568 per year on food away from home. You randomly select 12 households and find out how much each spent on food away from home per year. Can you reject the restaurant association's claim at alpha=0.01? Complete parts a - d.
3678 2205 2444 1917 2295 3456 3900 4267 3004 3157 3233 4510
Write the claim mathematically and identify Ho and Ha. Choose the correct answer
A Ho U = 3422 (claim)
Ha U > 3422
B)Ho > 3422 (Claim)
Ha C ho U > with line under Claim
Ha <
D U = Claim
U =/=
E U =
U < Claim
F U =/=
U = Claim
B) Find the P-value
C Fail to reject or Reject Ho
Click here to see answer by stanbon(75887)

Question 895644: The probability that a person will pass a math exam is 5/8 and the probability that his friend will pass is 6/7 . Assuming the events are independent what is the probability that at least one will pass
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Question 895680: What is the probability of throwing a silver dollar (diameter = 38mm) into a square box whose sides are 75mm?
Click here to see answer by Alan3354(69443)

Question 895687: I am having difficulty figuring how to solve a problem in prealgebra.The question asks which songs to select specific songs from the list to record the maximum time on the CD without going over 35 min and then gives a list of 10 songs with varying lengths (ie. 5 min 4 s)
Click here to see answer by josgarithmetic(39799)

Question 895713: 12 1
__ = _
3.60 ?
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Question 895713: 12 1
__ = _
3.60 ?
Click here to see answer by MathTherapy(10809)

Question 895784: If a man has a 0.7 chance of living in 20 years and his wife has 0.6. What is the chance that atleast one of them will live
Click here to see answer by Theo(13342)

Question 895893: A bin holds 20 components, 4 in which are defective. An engineer selects 5 components to test; the components are selected without replacement. Find the probability that at least one of the components is defective?
Click here to see answer by stanbon(75887)

Question 895841: A box contains 25 transistors, of which 4 are known to be bad. A transistor is selected
at random and tested.
a) What is the probability that it is bad?
b) If the first transistor tests bad what is the probability that a second transistor selected
at random will also be bad?
c) If the first transistor tested is good, what is the probability that the second transistor
selected at random will be bad?
Click here to see answer by stanbon(75887)

Question 895750: Let Z be a standard normal random variable. Use the calculator provided to determine the value of C such that
P(Z is less than or equal to C)=0.1492
Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.
Click here to see answer by stanbon(75887)

Question 895735: A company that makes cola drinks states that the mean caffeine content per one 12-ounce bottle of cola is 55 milligrams. You work as a quality control manager and are asked to test this claim. During your tests, you find that a random sample of 30 12-ounce bottles of cola has a mean caffeine content of 56.4 milligrams with standard deviation of 7.7 milligrams. At α = 0.09, can you reject the company�s claim? Complete parts (a) - (e).
a)Identify Ho, and Ha
b) Find the critical value(s). Selct the correct choice below and fill in the answer box within your choice
(Round to two decimal places as needed)
A) The critical values are +/- ___
or
B) The critical value is ___
Identify the rejection regions choose the correct answer
(These are graphs)
1 Reject Ho, Fail to reject Ho, Reject Ho
2) Fail to reject Ho, Reject Ho
3) Reject Ho, Fail to reject Ho
c) Find the standardized test statistic
Z= ___
d) Decide whether to reject or fail to reject the null hypothesis
A) Since z is not in the rejection region, reject the null
B) Since z is in the rejection region reject the null
C) Since z is not in the rejection region fail to reject the null
D) Since z is in the rejection region fail to reject the null
and finally e) Interpret the decision in the context of the original claim
At the 9% significance level there (Is,Is not) enought evidence to (Reject/Support) the company's claim that the mean caffeine content per 12-ounce bottle of cola (Is less/different/equal/greater) ? milligrams
I will post a review once completed! Thank you!

Click here to see answer by stanbon(75887)

Question 896133: If 6 balls are drawn without replacement from a bag that contains 7 black and 5 white balls, what is the probability that 4 will be black and 2 will be white?
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Question 896121: Of 15 persons who have contracted a disease, 10 have completely recovered. Suppose that 5 persons are chosen at random from 15, what is the probability that none have completely recovered?
Click here to see answer by stanbon(75887)

Question 896153: A factory estimates that 8% of all widgets produced are defective.
If I take a random sample of 20 widigets, what is the probability that no more than two are defective?
Thank You
Click here to see answer by richwmiller(17219)

Question 896165: Need assistance with this
Click here to see answer by richwmiller(17219)

Question 896186: A multiple-choice test consists of 9 questions. Each question has answer choices of a, b, c, d, and e, and only one of the choices is correct. If a student randomly guesses on each question, what is the probability that she gets fewer than 2 of them correct?
Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places.
Click here to see answer by stanbon(75887)

Question 896160: Need assistance with this
Consider the following probability distribution.
X= 5 7 8
P(X=x) 0.4 0.1 0.5
1. Find the expected value for the discrete random variable X
2. Find the varance of X.
3. Find the standard deviation of X.
4. Find P(X>7) Where X is greater than or equal to 7. Could not insert the equal under the greater sign.
Thank You

Click here to see answer by stanbon(75887)

Question 896145: In Rural Housing Plan, 42% of the houses have second floor and garage, 60% have second floor. Find the probability that a home has garage given that it has a second floor?
Click here to see answer by stanbon(75887)

Question 896211: A school is sending 11 children to a camp. If 20% of the children in the school are first graders, and the 8 children are selected at random, what is the mean and variance of the number of first graders chosen?

Click here to see answer by stanbon(75887)

Question 896191: A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, μ, of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate μ using the mean of the sample.
Using the value 850 miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed in order for the consumer group to be 95% confident that its estimate is within 135 miles per month of μ?
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
Click here to see answer by stanbon(75887)

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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, 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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, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 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36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 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