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

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Question 926222: Q))three card numbered 2,4&8 are put into a box.if a card is drawn at random what is the probability that the card drawn is a prime number.
Click here to see answer by richard1234(7193) About Me 

Question 926303: multiple-choice test consists of 29 questions with possible answers of a, b, c, d. Estimate the probability that with random guessing, the number of correct answers is at least 14.
z-value (Use continuity correction)=
Probability=

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

Question 926333: Find the mean of the distribution shown below.
X
2
3
4
P(X)
0.35
0.24
0.41

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Question 926458: if two dice are thrown what are the various total number that may turn up?

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Question 926449: A multiple choice question on a test has a four choices. If Uzziel choose one answer based on "pure guess",what is the probability that his answer is (a)correct? (b)wrong?
Click here to see answer by vleith(2983) About Me 

Question 926504: Two marbles are drawn from a bag containing 6 white, 4 red, and 6 green marbles. Find the probability of both marbles being green.
Click here to see answer by LOL MASTER(6) About Me 
Question 926504: Two marbles are drawn from a bag containing 6 white, 4 red, and 6 green marbles. Find the probability of both marbles being green.
Click here to see answer by Alan3354(69443) About Me 

Question 926547: 1) 4-card hand is drawn from a standard deck of 52 playing cards. Find the probability that the hand contains the given cards.
exactly 4 clubs
2)The Sad State Lottery requires you to select a sequence of four different numbers from 0 through 68. (Order is important.) You are a winner if your sequence agrees with that in the drawing, and you are a booby prize winner if your selection of numbers is correct, but in the wrong order. (Enter your answers as exact answers.)
What is the probability that you are either a winner or a booby prize winner?

I got 1/20748024 for probability of winning and 1/902088 for booby prize probability.
3)Eight white socks and five red socks are in a drawer. If two socks are selected at random, what is the probability that both socks are the same color?
4)An unbiased coin is tossed six times. Find the probability of the given event. (Enter your answer to five decimal places.)
The coin lands heads exactly once.

THANK YOU!

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

Question 926515: Suppose the number of friends a randomly chosen Facebook member has is normally distributed with mean 300 and standard deviation 70.
A simple random sample of 50 members is taken. Determine the probability that the sample average number of friends is fewer than 310.

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Question 926639: If a 10-inch fish weighs 3 pounds, how much does a 15-inch fish weigh assuming the two fish are proportional? The answer is 10.125 pounds but I'm not sure how to get this.
Click here to see answer by Alan3354(69443) About Me 
Question 926639: If a 10-inch fish weighs 3 pounds, how much does a 15-inch fish weigh assuming the two fish are proportional? The answer is 10.125 pounds but I'm not sure how to get this.
Click here to see answer by stanbon(75887) About Me 

Question 926644: A producer of breakfast cereals has developed a new style of corn flakes called Krinkly Corn. They would like to know what percent of U.S. moms would prefer Krinkly Corn rather than any of the other three standard brands. They plan to conduct a market survey. They will recruit a sample of moms of size n. They will supply the moms with boxes of corn flakes of all four brands – Krinkly Corn and the three standard brands and ask them to try all four for their family’s breakfast during the next two weeks. After the two weeks they will ask, “Which brand do you prefer (choose one)”. They would like to have a confidence interval for the percentage of American moms who prefer Krinkly Corn. They want a 95% confidence interval with a margin of error of about ± 3%. Based on prior experience they guess that about 10% of American moms will prefer Krinkly Corn. How large a sample size, n, should they recruit in order to obtain a confidence interval with margin of error ± 3% based on this prior guess?
Click here to see answer by stanbon(75887) About Me 

Question 925823: You are taking a multiple choice quiz that has 10 questions. Each question has three choices, with only one being correct. You randomly choose the answers in the questions, without reading the questions. Describe how you could simulate taking the quiz.
Click here to see answer by richard1234(7193) About Me 

Question 926712: In an experiment, a fixed amount of fertilizer was applied to each of 10 plots, and the corresponding yield in kilos of corn was measured. Identify the dependent variable in this experiment
Click here to see answer by josmiceli(19441) About Me 

Question 926771: a pair of dice are tossed twice . what is the probability of getting a total of 7 & 11?

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

Question 926430: Factories A, B and C produce computers. Factory A produces 2 times as many computers as factory C, and factory B produces 7 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.033, the probability that a computer produced by factory B is defective is 0.034, and the probability that a computer produced by factory C is defective is 0.049.
A computer is selected at random and it is found to be defective. What is the probability it came from factory C?

Click here to see answer by KMST(5328) About Me 

Question 926815: The chances a person hits a target are 3/4 while the chances of another person hitting the same target are 2/3. Find the probability of the target being hit when they both try. Please provide detailed explanation.
Click here to see answer by stanbon(75887) About Me 

Question 926727: A set of twenty cards is numbered 1 to 20. If a card is picked at random, what is the probability of choosing a factor of 18?
Click here to see answer by Fombitz(32388) About Me 

Question 926817: X Y
A 24 31
B 13 66
2. What is P(X)?
3. What is P(X or Y)?
4. What is P(X or A)?
5. What is P(X|A)?

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

Question 926823: Suppose that a family has five children, consisting of three girls and two boys. Call the girls Abigail, Brianna, and Courtney; call the boys Duane and Evan. Suppose further that two of these children are to be selected at random.
5. If both boys are selected, would it be reasonable for the girls to cry foul and claim that the selection process must not have been random? Explain your answer, and refer to a relevant probability calculation

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

Question 926818: Suppose that a family has five children, consisting of three girls and two boys. Call the girls Abigail, Brianna, and Courtney; call the boys Duane and Evan. Suppose further that two of these children are to be selected at random.
1. List the sample space of all possible pairs of these five children.

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

Question 926820: Suppose that a family has five children, consisting of three girls and two boys. Call the girls Abigail, Brianna, and Courtney; call the boys Duane and Evan. Suppose further that two of these children are to be selected at random.
3. Determine the expected value of the number of girls who will be selected.

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

Question 926819: Suppose that a family has five children, consisting of three girls and two boys. Call the girls Abigail, Brianna, and Courtney; call the boys Duane and Evan. Suppose further that two of these children are to be selected at random.
2. Determine the probability that one child of each gender will be selected.

Click here to see answer by ewatrrr(24785) About Me 
Question 926819: Suppose that a family has five children, consisting of three girls and two boys. Call the girls Abigail, Brianna, and Courtney; call the boys Duane and Evan. Suppose further that two of these children are to be selected at random.
2. Determine the probability that one child of each gender will be selected.

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

Question 926821: Suppose that a family has five children, consisting of three girls and two boys. Call the girls Abigail, Brianna, and Courtney; call the boys Duane and Evan. Suppose further that two of these children are to be selected at random.
4. Write a sentence or two interpreting what this expected value means in this context.

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

Question 926816: A regression analysis between the volume of a type of drug produced and the weight of a particular ingredient used in a pharmaceutical process shows that y = -100 + 0.3x, where x = kilograms of ingredient and y = litres of drug. How much ingredient would be used to produce 100 litres of the drug?
Click here to see answer by ewatrrr(24785) About Me 
Question 926816: A regression analysis between the volume of a type of drug produced and the weight of a particular ingredient used in a pharmaceutical process shows that y = -100 + 0.3x, where x = kilograms of ingredient and y = litres of drug. How much ingredient would be used to produce 100 litres of the drug?
Click here to see answer by Theo(13342) About Me 

Question 926848: In testing the hypothesis that the population mean of a part is 60 inches, a sample of 100 parts resulted in a sample mean of 61.2 inches. The population standard deviation is 7.8 inches. Using a 0.05 level of significance, does this indicate that the population mean is greater than 60 inches?
Click here to see answer by ewatrrr(24785) About Me 

Question 926847: A process is running with a mean of 100 microns and standard deviation of 5
microns; specification limits are ±5. What percent falls above 105 microns?

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

Question 926883: it is known that the variance of a population equals 1936. A random sample of 121 has been taken from the population. there is a 0.95 probability that the sample mean will provide a margin of error of?
Click here to see answer by Theo(13342) About Me 
Question 926883: it is known that the variance of a population equals 1936. A random sample of 121 has been taken from the population. there is a 0.95 probability that the sample mean will provide a margin of error of?
Click here to see answer by ewatrrr(24785) About Me 

Question 926876: Two fair six-sided dice are rolled. What is the probability that the first die is at least
as big as the second? Round your answer to three decimal places.

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

Question 926907: The probability distribution of the random variable X is shown in the accompanying table.
x −10 −5 0 5 10 15 20
P(X = x)
0.25 0.20 0.10 0.05 0.15 0.05 0.20
Find the following.
(a)
P(X = −10)

(b)
P(X ≥ 5)

(c)
P(−5 ≤ X ≤ 5)

(d)
P(X ≤ 20)

(e)
P(X < 5)

(f)
P(X = 3)

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

Question 926921: Records kept by the chief dietitian at the university cafeteria over a 27-period show the following weekly consumption of milk (in gallons).
Milk 200 205 210 215 220 225 230 235 240
Weeks 4 2 6 4 2 4 2 2 1
(a) Find the average number of gallons of milk consumed per week in the cafeteria. (Round your answer to the nearest whole number.)

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

Question 926925: According to an IRS study, it takes a mean of 330 minutes for taxpayers to prepare, copy, and electronically file a 1040 tax form. This distribution of times follows the normal distribution and the standard deviation is 80 minutes. A consumer watchdog agency selects a random sample of 40 taxpayers.
(a) What is the standard error of the mean in this example? (Round your answer to 3 decimal places.)
Standard error of the mean
(b)
What is the likelihood the sample mean is greater than 320 minutes? (Round z value to 2 decimal places and final answer to 4 decimal places.)
Probability
(c)
What is the likelihood the sample mean is between 320 and 350 minutes? (Round z value to 2 decimal places and final answer to 4 decimal places.)
Probability
(d)
What is the likelihood the sample mean is greater than 350 minutes? (Round z value to 2 decimal places and final answer to 4 decimal places.)
Probability

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

Question 926918: What is the probability that 12 or less of the MSU students do not have children, P(x < or equal to 12)?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 926937: Assume that the factory has two machines. Past records show that Machine 1 produces 30 per cent of the output. 5 percent of the items produced by the Machine 1 were defective and only 1 per cent produced by Machine 2 were defective .If an item selected at random is found to be defective, what is the probability that it was produced by Machine 2.
Click here to see answer by ewatrrr(24785) About Me 

Question 926930: Wirght’s midterm score was at least how much
Click here to see answer by Alan3354(69443) About Me 

Question 926934: The final exam also had a normal distribution, but with mean of 150 and standard deviation of 15. At least what score should Wright get in order to keep the same ranking (i.e , top 10 percent).
Click here to see answer by ewatrrr(24785) About Me 

Question 926951: You lose a coin from your purse. You know that your purse held 80 pennies and 10 dimes. What is the probability that the lost coin is a penny? What is the complement -that the lost coin is NOT a penny?
Click here to see answer by ewatrrr(24785) About Me 

Question 926991: Drawing an ace from a standard deck followed by a 10 after replacing the first card.
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Question 926996: Drawing an ace from a standard deck followed by a 10 after replacing the first card.
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Question 927156: When σ = 10, what sample size is needed to specify a
95% confidence interval of ±3 units for the mean?

Click here to see answer by ewatrrr(24785) About Me 
Question 927156: When σ = 10, what sample size is needed to specify a
95% confidence interval of ±3 units for the mean?

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

Question 927148: in how many way can six people take place in a round table.
i.if two of them must sit next to each other at the round table
ii.if the two of them must not sit next to each other at the round table

Click here to see answer by Edwin McCravy(20054) 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, 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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