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

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Question 484121: Can you please help me solve this problem. Thank you!

Determine whether the New York Yankees or New York Mets had a relatively better home run hitting season. The yankees hit 205 home runs and play in the American League, where the mean number of home runs was 192. The standard deviation was 36.0. The Mets hit 198 home runs and play in the National league, where the mean number of home runs was 186.9. The standard deviation was 28.7

Click here to see answer by stanbon(57239) About Me 

Question 484089: According to a February 2005 survey completed by the Pew Internet and American Life Project, about 36 million Americans, or 27% of Internet users, say they download either music or video files. Assuming the percentage is correct, use the normal approximation to the binomial to find the probability of the following in a survey of 2000 American Internet users.
a) At least 500 download music or video files
b) At least 575 download music or video files
c) At most 520 download music or video files
d) At most 555 download music or video files
I've been stumped by this question for awhile now. I really can't seem to figure out how to go about it. Please help!

Click here to see answer by stanbon(57239) About Me 

Question 484198: A C-Pap manufacturer has developed five C-Pap bases and four air blowers that could be used together to treat people with sleep apnea. How many different arrangements of base ad blower can be offered?
Click here to see answer by jorel1380(2518) About Me 

Question 484226: Suppose you have a bin of 500 screws in which 10 are defective. What is the probability of drawing a sample of 5 screws in which 2 are defective? (Assume the sample is drawn without replacement)
Click here to see answer by edjones(7569) About Me 

Question 484224: What is your probability of winning the lottery if the balls number 1 to 50 and you have to get five correct? The order in which the selection is made does not matter.
a) 12, 118, 760
b) 12, 118, 770
c) 12, 119, 760
d) 12, 118, 860

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Question 484225: Of all possible outcomes on tossing a coin 6 times how many of them will have heads 4 times?
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Question 484222: What is the probability of not getting a 9 on two dice?
a) 89%
b) 83%
c) 86%
d) 78%

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Question 484223: What is your probability of not getting a spade from a deck of 52 cards?
a) 75%
b) 50%
c) 25%
d) 80%

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Question 484221: What is the probability of not getting a 2 or 12 on two dice?
a) 94%
b) 92%
c) 86%
d) 89%

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Question 484220: What is the probability of getting a 9 on two dice?
a) 11%
b) 17%
c) 14%
d) 22%

Click here to see answer by jim_thompson5910(28503) About Me 

Question 484304: The sales force of a business consists of 10 men and 10 women. A production unit of 6 people is set up at random. What is the probability that it will consist of 2 men and 4 women? (type answer as an integer or decimal rounded to four decimal places as needed)
Click here to see answer by stanbon(57239) About Me 

Question 484321: At a homeowners association meeting, a board member can vote yes, vote no, or abstain on a motion. There are three motion on which a board member can vote.
a) Determine the number of point in the sample space.
b)Construct a tree diagram and determine the sample space, Determine the probability that a board member votes.
c) no, yes, no in that order
d)yes on exactly two of the motions
e)yes on at least one of the motions.
candleburner@verizon.net

Click here to see answer by stanbon(57239) About Me 

Question 484355: f(x) = x2+3 where 1
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Question 484322: A traffic light is red for 25 seconds, yellow for 5 seconds, and green for 55 seconds. What is the probability that when you reach the light, the light is not green?
Click here to see answer by kingme18(98) About Me 

Question 484391: An executive committee consists of 9 members: 4 men and 5 women. 3 members are selected at random to attend a meeting in Hawaii. The names are drawn from a hat. What is the probability that all 3 selected are men? (integer or simplified fraction)
Click here to see answer by solver91311(16868) About Me 

Question 484402: Each week at a furniture factory, 2000 work hours are available in the construction department, 1400 work hours in the painting department, and 1300 work hours in the packing department. Producing a chair requires 2 hours of construction, 1 hour of painting, and 2 hours for packing. Producing a table requires 4 hours of construction, 3 hours of painting, and 3 hours for packing. Producing a chest requires 8 hours of construction, 6 hours of painting, and 4 hours for packing. If all available time is used in every department, how many of each item is produced each week?
Click here to see answer by ewatrrr(10682) About Me 

Question 484390: Suppose 4 quarters, 5 dimes, 3 nickels and 4 pennies are in a box. One coin is selected at random. What is the expected value of this experiment? (round to nearest cent)
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Question 484440: Can someone pls check my answer? Thank you
A committee of three men and four women has been formed to review sexual harassment complaints. If two different members of the committee are to be randomly selected to interview a person who has filed a formal complaint, what is the probability that both of the chosen members are women?
my answer is: 4/7 * 3/6 = 12/42 ... is this correct? Thank you!

Click here to see answer by chessace(471) About Me 

Question 484465: I just confused my school math teacher! How lovely! Anyways HOPE you guys can seriously help me out more then these people at my college! I dont get why I pay thousands of dollars and not get adequate help!
Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).
A. drawing a black two out of a standard 52 card deck given it’s not a face card or an Ace.
B. drawing a six out of a standard 52 card deck given it’s not a face card or an Ace.
C. rolling a sum of 7 on two fair six sided dice
D. rolling a sum of 3 on two fair six sided dice
E. rolling a sum of 10 on two fair six sided dice

Click here to see answer by chessace(471) About Me 
Question 484465: I just confused my school math teacher! How lovely! Anyways HOPE you guys can seriously help me out more then these people at my college! I dont get why I pay thousands of dollars and not get adequate help!
Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).
A. drawing a black two out of a standard 52 card deck given it’s not a face card or an Ace.
B. drawing a six out of a standard 52 card deck given it’s not a face card or an Ace.
C. rolling a sum of 7 on two fair six sided dice
D. rolling a sum of 3 on two fair six sided dice
E. rolling a sum of 10 on two fair six sided dice

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Question 484468: The probability that Kim will win a game is 1/4. Kelvin and Chelsea have half as much chance of winning as Kim does. Sasha is four times as likely to win the game as Kelvin is. Create a table of probabilities for the sample space.
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Question 484510: Hello! Can someone help me with the problem below. not sure if my answers are correct:
Assume that you have surveyed 1068 randomly selected adult Americans and 279 have indicated that they would vote for Andrew Mason if he were to run for Congress. Construct a 95% confidence interval for the percentage of voters who would vote for Mason. State the margin of error.
After computing, my margin of error is = .0263 and my CI is = .2349 < P < .2875
is this correct? Thank you!

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Question 484400: In 2007-2008, 34% of all undergraduates took out a Federal Stafford Loan. If a random sample of 250 students is selected, find the probability that at most 75 took out a Federal Stafford Loan.
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Question 484531: Prevalence of Alzheimer's disease (cases per 100 population)
Age group; males; females
65-69; 1.6; 0.0
70-74; 0.0; 2.2
75-79; 4.9; 2.3
80-84; 8.6; 7.8
85+; 35.0; 27.9
Suppose an unrelated 77 year old man, 76 year old woman, and 82 year old woman are selected from a community. Suppose we know two of the three people has Alzheimer's disease, but we don't know which one. What is the conditional probability that the affected person is a woman?

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Question 484530: Prevalence of Alzheimer's disease (cases per 100 population)
Age group; males; females
65-69; 1.6; 0.0
70-74; 0.0; 2.2
75-79; 4.9; 2.3
80-84; 8.6; 7.8
85+; 35.0; 27.9
Suppose an unrelated 77 year old man, 76 year old woman, and 82 year old woman are selected from a community. What is the probability that at least one of the three people has Alzheimer's disease?

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Question 484529: Prevalence of Alzheimer's disease (cases per 100 population)
Age group; males; females
65-69; 1.6; 0.0
70-74; 0.0; 2.2
75-79; 4.9; 2.3
80-84; 8.6; 7.8
85+; 35.0; 27.9
suppose an unrelated 77 year old man, 76 year old woman, and 82 year old woman are selected from a community. what is the probability that all three of these individuals have Alzheimer's Disease.

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Question 484556: For the table that follows, answer the following questions:
x y
1 7
2 10
3 13
4





- Would the correlation between x and y in the table above be positive or negative?

- Find the missing value of y in the table.

- How would the values of this table be interpreted in terms of linear regression?

- If a “line of best fit” is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative?

Thanks to you

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Question 484571: i am a 4 digit number. The sum of my four digits is 28. Three of my digits are the same. Whether I am rounded to the nearest ten, hundred, or thousand, I amstill the same number. What number am I?
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Question 484709: You will be older tomorrow than you are now.
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Question 484693: Let C(x)= 200+30x be the cost to manufacture x items. Find the average cost per item to produce 40 items. Round to the nearest dollar
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Question 484769: In how many different ways can the top eight new indie bands be ranked on a top eight list? The top hit song for each of the eight bands will compete to receive monetary awards of $1000, $500 and $250, respectively. In how many ways can the awards be given out?

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Question 484728: in pharmacologic research a variety of clinical chemistry measurements are routinely monitored closely for evidence of side effects of the medications under study. suppose typical blood-glucose levels are normally distributed, with mean = 90 mg/dL and standard deviation = 38 mg/dL.
2 part question
if the normal range is 65-120mg/dL, then what percentage of values will fall in the normal range?
frequently tests that yield abnormal results are repeated for confirmation. what is the probability that for a normal person a test will be at least 1.5 times as high as the upper limit of normal on two separate occasions?

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Question 484930: I am really struggling with this question & have to expres why it does or does not support the claim , if anyone can help me I appreciate it greatly!
In a recent poll, it was found that 43% of registered U.S. voters would vote for the incumbent president. If 100 registered voters were sampled randomly, it was found that 35% would vote of the incumbent. Test the claim that the actual proportion is 43%. Use  = 0.01. (Round phat to 2 decimal places.)

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Question 484962: Find the mean and standard deviation of the following probability distribution:
x
1
2
3

P(x)
0.3
0.4
0.3


Please show all of your work.

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Question 485079: there are 150 juniors and seniors attending monroe high school. if there are x juniors, how many seniors are there?
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Question 485186: the tollboth is 50 cents for eash car how many diffrent ways can you use quarters, dimes, and nickels
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Question 485234: what is 0.276 in simple fraction form?
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Question 485184: the tollboth is 50 cents for eash car how many diffrent ways can you use quarters, dimes, and nickels
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Question 485138: On a 33 question exam, what is the probability of three students answering the same 22 questions correctly and the same 11 questions incorrectly? The exam is a mix of multiple choice, true /false and fill in the blank.
Click here to see answer by richard1234(5390) About Me 

Question 485404: Respected Sir / Mam ,
Please help me to solve this question. I will be very grateful for your help .
My question is
A town has a total population of 50,000 . Out of it 28,000 read the newspaper X and 23,000 read Y while 4000 read both the the papers. The number of persons not reading X and Y both is
As the answer given is : 3000
Please provide me the steps for this question.
Thank you

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Question 485417: You take a 100 item True/False test and each item counts one point. How many different scores are possible for this test?
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Question 485392: Explain why csc 180 degree is underfined .
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Question 485391: Respected Sir / Mam ,
Please help me to solve this question. I will be very grateful for your help .
My question is
If the overall percentage of success in the exam is 60, what is the probability that out of a group of 4 students, at least one has passed?
As the answer given is : 0.9744
Please provide me the steps for this question.
Thank you

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Question 485428: A student is allowed to choose a number at random from counting numbers 60 to 100 inclusive (60, 61, 62, 63,... 97, 98, 99, 100). Using the grading scheme of 60-69=D, 70-79=C, and so on. What is the probability that student gets an A grade?
Click here to see answer by Edwin McCravy(8881) 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