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

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Question 1071583: If a right triangle has one leg of length 1 and a hypotenuse of length 7, what is the length of the other leg? Enter the exact answer.
Click here to see answer by Alan3354(69443) About Me 

Question 1071577: If a right triangle has one leg of length 1 and a hypotenuse of length 3, what is the length of the other leg?
Click here to see answer by Alan3354(69443) About Me 

Question 1071615: What is the probability of having at least one girl in 4 births?
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Question 1071571:
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Question 1071578:
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Question 1071566:
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Question 1071538: A box contains 60 colored balls: 45 of the balls are purple,and 30 of the purple balls have stars on them. if a purple ball being randomly chosen and a ball with stars being randomly chosen are independent events,how many of the 60 colored balls have stars on them?
Click here to see answer by Theo(13342) About Me 

Question 1071521: You randomly draw letter tiles from a bag containing the letters from the word PENNSYLVANIA.Find the probability.tell whether the events are independent or dependent.
You draw an N. Then, without replacing the first N, you draw another N.

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

Question 1071616: If A and B are independent events and P(A)=0.40, what is P(A|B)?

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

Question 1071533: The regression line for a data set is ŷ = 0.449x - 30.27. Determine the residual of a data point for which x = 85 and y = 7.


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Question 1071598: Waiting for a train or a bus that arrives every 30 minutes. What would be the probability of waiting 15 minutes or less
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Question 1071556: A single card is drawn from a well-shuffled deck of 52 cards. The card is either an
even number, an odd number or a face card. If we consider aces to be ones, write
the probability distribution for this random experiment.
(I'm not sure what a probability distribution is or how to make one)

Click here to see answer by Fombitz(32388) About Me 

Question 1071378: If we roll a pair of balanced dice,what are the probabilities of getting a total of 4 or a total of 9
Click here to see answer by Fombitz(32388) About Me 

Question 1071647: Suppose ACT Mathematics scores are normally distributed with a mean of 21.5 and a standard
deviation of 5.3. A university plans to award scholarships to students whose scores are in the top 6%.
What is the minimum score required for the scholarship? Round your answer to the nearest tenth, if
necessary

Click here to see answer by rothauserc(4718) About Me 

Question 1071663: If the mean height of sorghum varieties to be 68.22 inches with a variance of 10.8 inches,how many varieties in a field of 100 varieties, would you expect to have 6 feet tall?
Click here to see answer by srinivas.g(540) About Me 

Question 1071673: I really do not understand what to do in this question and how to solve it.
Nathan tosses 2 coins at the same time. He does this 100 times. Enter the number of times the coins are expected to land as 2 heads.

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1071673: I really do not understand what to do in this question and how to solve it.
Nathan tosses 2 coins at the same time. He does this 100 times. Enter the number of times the coins are expected to land as 2 heads.

Click here to see answer by addingup(3677) About Me 

Question 1071687: You are playing a game that uses two fair number cubes. If the total on the number cubes is either 11 or 2 on your next turn, you win the game. What is the probability of winning on your next turn? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
Click here to see answer by Fombitz(32388) About Me 
Question 1071687: You are playing a game that uses two fair number cubes. If the total on the number cubes is either 11 or 2 on your next turn, you win the game. What is the probability of winning on your next turn? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
Click here to see answer by Boreal(15235) About Me 

Question 1071596: A lottery game consists of picking five numbers between 1 and 36, inclusive. You
want to buy a ticket with the numbers 1, 2, 3, 4, and 5. Your friend laughs at you
and says that those five numbers are really unlikely. What should you say to your
friend to explain why he is wrong?

Click here to see answer by Fombitz(32388) About Me 

Question 1071649: A researcher wanted to study the impact of different tempos of music at work on worker’s sense of job satisfaction. Workers were told that they were going to be asked about their job satisfaction throughout the year, but were unaware that music tempos were going to be varied. Throughout the year, workers were asked to rate their job satisfaction on a scale of 1 (extremely low) to 10 (extremely high). On some days, the music had been at a slow tempo, others at a moderate tempo, and still others at a fast tempo. The following data represent an averaged score for 6 subjects across each condition.
Music Condition (Tempo)

Subject Slow Moderate Fast
A 5 8 4
B 7 10 6
C 4 5 1
D 8 9 5
E 6 8 4

Conduct a One-Way Repeated Measures ANOVA at the .01 level; cover all elements on Handout.

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Question 1071572: For several years in Massachusetts, the lottery commission would mail residents coupons for free Lotto tickets. To win the jackpot in Massachusetts, you have to correctly guess all six numbers drawn from a pool of 36. What is the expected value of the free Lotto ticket if the jackpot is $6000000 and there is no splitting of the prize?
Round the answer to two decimal places.

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Question 1071650: A researcher wanted to study the impact of different tempos of music at work on worker’s sense of job satisfaction. Workers were told that they were going to be asked about their job satisfaction throughout the year, but were unaware that music tempos were going to be varied. Throughout the year, workers were asked to rate their job satisfaction on a scale of 1 (extremely low) to 10 (extremely high). On some days, the music had been at a slow tempo, others at a moderate tempo, and still others at a fast tempo. The following data represent an averaged score for 6 subjects across each condition.
Music Condition (Tempo)

Subject
A
B
C
D
E
SLOW
5
7
4
8
6
Moderate
8
10
5
9
8
Fast
4
6
1
5
4
Conduct a One-Way Repeated Measures ANOVA at the .01 level; cover all elements on Handout.
difficult to get this lined up right. subject is suppose to line up with slow moderate fast in boxes next to each other.
thank you for your help

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

Question 1071381: A fair coin is tossed 4 times what is the probability that exactly one head appears and at least one head appears
Click here to see answer by Fombitz(32388) About Me 

Question 1071633: Assume that a life insurance company would like to make a profit of $250 on a $100,000 policy sold to a person whose probability of surviving the year is 0.9985. What premium should the company charge the customer? If the company would like to make a $250 profit on a $100,000 policy at a premium of $500, what is the lowest life expectancy it should accept for a customer?
I tried doing out some math for the first half of the question. I did 250 * (.9985) + (-250) * (.0015) = $249.25 but I doubt that makes any sense and I have no clue what to do for the second part of the question. I would appreciate any help possible, thank you!

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Question 1071703: What is the probability that if 14 letters are typed, no letters are repeated?

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Question 1071597: An insurance company checks police records on 500 randomly selected auto accidents and notes that teenagers were at the wheel in 80 of them. Construct a 95% confidence interval estimate of the proportion of auto accidents that involve teenage drivers. Show all work. Just the answer, without supporting work, will receive no credit.
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Question 1071705: The mean amount purchased by a typical customer at Churchill's Grocery Store is $26.00 with a standard deviation of $6.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 62 customers, answer the following questions.

a.
What is the likelihood the sample mean is at least $27.00? (Round z value to 2 decimal places and final answer to 4 decimal places.)




b.
What is the likelihood the sample mean is greater than $25.00 but less than $27.00? (Round z value to 2 decimal places and final answer to 4 decimal places.)




c.
Within what limits will 90 percent of the sample means occur? (Round your answers to 2 decimal places.)

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Question 1071711: Ten horses are entered in a race. How many ways can the horses finish in first and second place.
Click here to see answer by Alan3354(69443) About Me 

Question 1071723: Supposed to select three cards from the deck without replacement find the probability of getting three diamonds
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Question 1071727: A toll collector on a highway receives $4 for sedans and $7 for trucks. At the end of a 2-hour period she collected $148. How many sedans and trucks passed through the toll booth during that period? List all possible solution.
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Question 1071712: If you choose 5 random horses, how many ways can they finish first and second?
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Question 1071795: The numbers one through seven are mixed up and then drawn from a hat without replacement. What is the probability that all of the odd numbers will be drawn first?


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Question 1071807: The expected value of the numbers of heads obtained when three coins are tossed simultaneously
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Question 1071804: A marketing research company contacted 600 married women and 400 men. All owned big plasma TVs. Two hundred of the women and 150 of the men replied they spent more time watching their plasma TV than with their spouses. A- At the 0.05 significance level , is there a difference between the response of women and men? ( use the five step method) B- determine the p-value and interpret the results
Click here to see answer by rothauserc(4718) About Me 

Question 1071935: Ten years ago, 55% of parents took their children to the zoo. A recent study illustrated that of 250 parents, 115 of them took their children to the zoo.
Assuming parents feel the same way about taking their children to the zoo today as they did 10 years ago, how many of the parents took their children to the zoo?
Does this information illustrate parent's attitude about taking their children to the zoo has changed in the last 10 years?

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Question 1071959: There are 2880 married students on campus. If this represents 28% of all students, what is the total number of students?
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Question 1071965: There are 23 clerks amongst 32 employees of a local bank .fifteen of the 23 clerks have typing skills and 13 have filing skills
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Question 1071969: A consumer protection group randomly checks the volume of different beverages to ensure that companies are packaging the stated amount. Each individual volume is not exact, but a volume of iced tea beverages is supposed to average to 300 mL with a standard deviation of 3 mL. The consumer protection group sampled 20 beverages and found the average to be 298.4 mL. Which of the following is the most restrictive level of significance on a hypothesis test that would indicate the company is packaging less than the required average 300 mL?
1%
2.5%
5%.
10%

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Question 1071971: The probability that Olivia will have to wait before she can cross Westgate Street is 1/3 and the probability that she will be able to cross high street without waiting is 1/4. What is the probability that :-
A. She does not have to wait to cross Westgate Street.
B. She has to wait to cross high street.
C. She can cross both streets without waiting.

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

Question 1071968: A popular video game claims that the average time needed to reach level 10 Paladin is 3 hours with a standard deviation of 0.4 hours. James thinks that he and his four friends are more skilled than the average gamer because it took them an average of only 2.5 hours. Which of the following is the most restrictive level that would validate his claim?
1%
2.5%
5%
10%

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

Question 1071974: In how many ways can 20 board members sit in a circular boardroom if the chairman must sit between the secretary and the treasurer?

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Question 1071976: Determine the number of permutations of the letters of the word "BASICSTATISTICS"
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Question 1071947: In a certain class consisting of 25 girls and 15 boys,
it is observed that 3 boys and 5 girls wear uniform.
If a student is picked at random from this class,
what is the probability of the joint occurrence of
the events wearing uniform and being a boy?

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

Question 1072017: find the area under the normal curve below (to the left of) z=1.25. shade the appropriate area.
*It was impossible for me to draw the graph, so here is the image of the graph*
http://www.statisticshowto.com/wp-content/uploads/2013/09/normal-distribution-probability.jpg

Click here to see answer by Fombitz(32388) 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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