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

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Question 532059: In a two-tail hypothesis test, if you use .10 level of significance what is the decision rule for rejecting a null hypothesis that the population mean is 500 if you use the Z test?
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Question 532058: A sample of 200 claims processed under the the insurance system revealed 180 of the claims were paid in full. Is there evidence, at the .05 level of significance that the population proportion of claims processed under the new system is higher than the article reported the previous system and then compute the p-value and interpret its meaning.








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Question 532050: At a lightbulb factory it needs to determine whether the mean life of a large shipment of ligtbulbs is equal to the specified value of 375 hours. State the null and alternative hypothesis. I would use H0:375 right?
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Question 532022: A national bank published a report on improvements in customer satisfaction and loyalty. the report concluded that 48% of the bank customers expressed customer delight regarding the banks customer services. suppose you surveyed 350 custimers in your town to inquire about customer delight towards this bank.
a)find the probability that the majority of the people in your sample of 350 customers would express customer delight.
b)the probability of 70% that the sample proportion of respondents expressing customer delight will be less than what percentage?
c)the probability is 80% that the sample proportion will be contained within what symmtetrical limits of the population proportion

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Question 532108: Given a box with individual mittens as follows 2 purple, 6 red, 9 green, what is the probability of randomly drawing a matched pair?

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Question 532140: what is the chance of a boy being picked out if there are 360 girls and 350 boys if it is at random

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Question 532140: what is the chance of a boy being picked out if there are 360 girls and 350 boys if it is at random

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Question 532131: If Punxsutawney Phil sees his shadow on the first Monday in February, legend says that winter will last 6 more weeks. In 102 years, Phil has seen his shadow 73 times.
I NEED TO SEE THE FORMULAS TO GET THE ANSWER

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Question 532030: In a particular state, license plates must consist of 3 letters followed by 3 numbers. How many such plates exist if the first letter cannot be a z and the plate contains at least one 4?
What threw me off is the at least one 4 part.

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Question 532180: In how many ways can you arrange 11 math books and 6 history books if:
a. order matters
b. order doesn't matter
c. you must have all the math books together and all the history books together

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Question 532189: Consider the following LP problem:
maximum profit = 5X+6Y
subject to 2X+y <- 120
2x+3y <- 120
x,y<- 0
(a) What is the optimal solution to this problem?
Solve it graphically.
(b) If a technical breakthrough occurred that raised
the profit per unit of X to $8, would this affect
the optimal solution?
(c) Instead of an increase in the profit coefficient X
to $8, suppose that profit was overestimated and
should only have been $3. Does this change the
optimal solution?

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Question 532219: an economy pack of highlighters contains 12 yellow, 6 blue, 4 green and 3 orange highlighters. An experiment consists of randomly selecting one of the highlighters and recording its color. Find the probability that a blue or yellow highlighter is selected given that a yellow highlighter is selected.
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Question 532343: Suppose you select a 3-digit number at random from the set of all positive 3-digit numbers. Find each probability. I just don't get this.
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Question 532343: Suppose you select a 3-digit number at random from the set of all positive 3-digit numbers. Find each probability. I just don't get this.
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Question 532211: A multiple-choice quiz consists of fifteen questions. Each question has five responses, and only one of the answers is correct. Find the probability of guessing and getting exactly two correct. Round to four decimal places, if necessary.
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Question 532360: You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten. Round your answer to three decimal places.
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Question 532380: Decide whether the experiment is a binomial experiment. If it is not, explain why. You spin a number wheel that has 10 numbers 100 times. The random variable represents the winning numbers on each spin of the wheel.
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Question 532587: a batch consists of 12 defective coils and 88 good ones. find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.
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Question 532545: Suppose you have 7 types of cereal. If you eat a bowl of cereal every morning for breakfast, how many ways can you eat breakfast in the next 4 days?
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Question 532593: An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probalitiy that there is a least one correct answer.
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Question 532496: how do i draw a tree diagram to find the number of possible outcomes for each situation {this is the question} how many outcomes are possible if the 0-5 number cube is rolled and the spinner is spun? (The numbers on the spinner are 1,2,4,3)
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Question 532665: Approximately 8% of people are left-handed. If two people are selected at random, what is the probability of the following events?
A. P(Both are right-handed) =
B. P(Both are left-handed) =
C. P(One is right-handed and the other is left-handed) =
D. P(At least one is right-handed) =

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Question 532664: Approximately 8% of people are left-handed. If two people are selected at random, what is the probability of the following events?
A. P(Both are right-handed) =
B. P(Both are left-handed) =
C. P(One is right-handed and the other is left-handed) =
D. P(At least one is right-handed) =

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Question 532494: jake and jessica are working on a problem jake has a 45% chance of solving it, and jessica a 65% chance. find the probability that both solve the problem?
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Question 532681: Suppose a conference has 12 basketball teams. At the end of the season the four best teams play for the championship. How many different sets of four teams could be in the championship?
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Question 532898: I have a average of 85% on quizzes and a average of 92% on exercises, quizzes count for 40% and exercises count for 30% and the final exam count for 30%. What would be the minimum grade I could get to have a 90% a A in the class. I came up with 93% but I can't show how I got it need a equation please. Thanks
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Question 532970: if a card is selected from a standard pack of 52 cards what is the probability that the card chosen is not a spade
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Question 533204: -3/4r>-3/4
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Question 533198: A random sample of 500 fish is taken from a lake, marked, and returned to the lake.after a suitable interval a second sample of 500 is taken and 25 of these are found to be marked. by considering the number of fish marked in the second sample,
1)Estimate the number of fish in the lake
2)By considering the confidence interval for the proportion of marked fish in the lake, obtain a 95% confidence limits for the number of fish in the lake

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Question 533214: A conference has 13 basketball teams. At the end of the season a first, second, and third place winner is declared. How many ways can these places be chosen?
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Question 533224: A box of candy contains four orange and six cherry hot sticks. If three hot sticks are chosen at random from the box, what is the probability that no more than one will be cherry? Round your answer to two decimal place.
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Question 533222: If four dogs are picked up from the Veterinarian and they are returned to their owners at random, what is the probability that at least one owner receives the wrong dog? Round your answer to two decimal places.
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Question 533220: Find the shift, the new model points and the equation of the asymptote:
y = log8(x - 6) - 5
Shift.
( , )

New Model Points.
( , )
and
( , )

Asymptote.
x =

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Question 533239: You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.8. With water it will die with probability 0.4. You are 82 % certain the neighbor will remember to water the plant.
You come back from the vacation and the plant is dead. What is the probability that the plant died because neighbor forgot to water it?

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Question 533365: If 9 states are considered to be in the "Northeast" of the U.S., what is the probability that a state picked at random will be in the Northeast?
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Question 533331: if an event can never happen its probability is a negative number.
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Question 533381: Pick& Save grocery stores in Wisconsin are giving out scratch off tickests when you buy groceries . There are nine symbols covered up. Three of them are the same. You have to scratch off the three identical ones to win. What are the odds of picing three of the same out of nine?
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Question 533397: Kobe Bryant makes 80% of his free throws in his god season. What is the probability that he will make at least 6 of his next 8 free-throw attempts? Use the probability table given to solve the problem.
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Question 533404: there are 37 members on a board
A. if they elect a chairperson, 1st vp, 2nd vp, and a secretary, how many different slates of candidates are possible?
B. if they form an ethics subcommittee of four members, how many different subcommittees are possible?

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Question 533720: Determine the area under the standard normal curve that lies to the left of the following z value:
z = 0.54

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Question 533721: what is the probability of getting a club in a standard deck of cards? What is the probability of getting a red queen?
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Question 533783: about 80% of the residents of the united states are right-handed. if 1000 residents are selected at random, would it be unusual to find that fewer than 77%of the resident in the sample are right-headed?
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Question 533820: 1. Find the equation of the regression line for the given data. Predict the value of Y when X=-2? Predict the value of Y when X = 4?
X -5 -3 4 1 -1 -2 0 2 3 -4
Y -10 -8 9 1 -2 -6 -1 3 6 -8


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Question 533872: Sam has 17 ties. He has 6 green, 3 blue and 8 red. If he selects two ties at random, what is the probability that both ties are different colors? Round your answer to two decimal places.

Answer:

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Question 533870: 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 8 given: the card is a club? Round your answer to two decimal places.

Answer:

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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