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

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Question 933906: Given the Venn diagram below, if a student is randomly selected, what is the probability that he or she is not attending either college?

Click here to see answer by richard1234(7193) About Me 

Question 933927: A bag has
12
brown marbles and
6
green marbles. Half of the green marbles are made of plastic. A marble is selected at random from the bag. What is the probability that it is a green, plastic marble?
needed help

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Question 933930: 11. An automobile battery manufacture offers an 18 month warranty on its car batteries. Under this warranty, if a battery fails within 18 months of purchase, the manufacturer replaces the battery at no charge to the consumer. Assume that the lifetime of its car batteries is normally distributed with a mean of 32 months and a standard deviation of 7 months.

A. What percentage of batteries will be replaced free of charge?

B. If 200 batteries are sold in a given year each costing $150.00, then what was the total warranty costs of replacing defective batteries free ( Round up if necessary)


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Question 933928: 13. Who’s so vain. A survey conducted by the American Association of Motor Vehicle Administrators reveals that Massachusetts motor vehicle owners are the vainest.
Approximately 20% of Massachusetts license plates are vanity plates. You don’t believe it so you randomly sample 20 cars where x represents the number of cars with vanity plates.




What is the probability of exactly 5 cars have vanity plates?

What is the probability at least 3 cars have vanity plates?

What is the probability that no more than 2 cars have vanity plates?

What is the probability that half of the cars observed have vanity plates?


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

Question 933922: A business college decides to accept only the top 10% of the applicants applying. Their acceptance is based on an entrance exam.if the mean was 75 and the standard deviation was 10, then what is the minimum score needed to be accepted to the university?
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Question 933913: A mathematics department consists of eleven men and six women. Six mathematics faculty members are to be selected at random for the curriculum committee. (Round your answers to five decimal places.)
(a) What is the probability that two women and four men are selected?
0.39997
Correct: Your answer is correct.

(b) What is the probability that two or fewer women are selected?

(c) What is the probability that more than two women are selected?


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Question 933890: a) an experiment measures eye contact of a control group of people, during a 5 minute interval. What is the probability that a randomly selected person makes eye contact for >230 seconds which is the mean for paranoid schizophrenics, during the five minute interval? Assume times are normally distributed with σ= 55 sec, μ= 184 seconds.
b) what is the value that separates off the lowest 10% of the eye contact times, from the upper 90%?

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Question 933835: . An electrician is testing the accuracy
of resistors that have a nominal
resistance of 15 Ω (ohms). He finds
that the distribution of resistances is
approximately normal with a mean of
15.08 Ω and a standard deviation of
1.52 Ω. What is the probability that
a) a resistor selected randomly has a
resistance less than 13 Ω?
b) a resistor selected randomly has a
resistance greater than 14.5 Ω?

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Question 933886: What percent of the total population is found between the mean and the z-score of 3.59?
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Question 933818: what is the probability thaat students are between 68 snd 72 inches tall

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Question 933816: The probability that a student will pass chemistry class is 0.85. Three students are randomly selected. Find the probability that:
a) all 3 will pass the class
b) none of 3 will pass the class
c) at least 1 student will pass

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

Question 933739: True or False? Support your answer. If one score is randomly selected from a normal distribution with µ = 100 and σ = 20, the probability of obtaining a score between X = 80 and X = 120 is p = 0.3413.
I would appreciate just a formula, I am not sure what to do to calculate the answer.
Thank you
JB

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

Question 933921: According the the Wall Street Journal survey of businesses that use personal computers, 60% of the officers also use laptop computers. If two businesses that were surveyed are randomly selected and if x represents the number of these businesses where the officers use laptop computers, find the probability distribution of x.
Click here to see answer by ewatrrr(24785) About Me 

Question 933710: Hello! I am taking finite math and the teacher never showed us a problem like this ( Only cards, dice and urns) and expects us to know how to do it. please help! The Question:
Suppose 5 men out of 100 and 25 woman out of 10,000 are colorblind. A colorblind person is chosen at random. What is the probability of his being male? (Assume males and females to be in equal numbers) I don't understand what the sample space is. Is it 10,000 or 10,000 twice? Please just show me how you solve this problem with the answer so that I can understand what type of probability problem this is and be able to solve any like it. Thanks so much!! Stacy

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

Question 933959: Suppose that you bought 1 of the 80 chances. What would be the
probability of your winning the radio cassette player?

WIN A RADIO CASSETTE PLAYER
BUY A CHANCE FOR ONLY $2
($96 VALUE!)

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

Question 934121: An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last 3 years, with the following results.

X

f

1

14

2

18

3

12

4

5

5

1

Referring to the table, how many total claims are represented in the sample?

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Question 934152: Suppose that the scores of architects on a particular creativity test are normally distributed. Using a normal curve table, what percentage of architects have Z scores:
Above .10?
Below .10?
Above .20?
Below .20?
Above 1.10?
Below 1.10?
Above -.10?
Below -.10?

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

Question 934149: Three stores have 8, 12, and 15 employees of whom 4, 8, and 5, respectively, are women. A
store is chosen at random and from that store an employee is chosen at random. If this
employee is a woman, what is the probability she came from the store with 12 employees?

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Question 934119: Estimates that 25% of customers come in a gas station pop gas will buy coffee. What is the probability that out of the next 200 customers, 60 or fewer will buy milk?

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Question 934169: The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 25% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 17 adult dogs is studied. What is the standard deviation of the number of dogs who weigh 65 pounds or more?
Click here to see answer by stanbon(75887) About Me 

Question 934179: how many sample points are in the sample space when a pair of dice is thrown once?
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Question 934456: 5 boys and 3 girls are to be seated on chairs arranged in a row. If the arrangement is made by a random selection, find the probability that no two girls are selected side by side.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 934548: 65% of a group of people have brown eyes how many people are in the group if 260 people have brown eyes
Click here to see answer by rfer(16322) About Me 

Question 934557: The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? More than 21 days?
Click here to see answer by stanbon(75887) About Me 

Question 934512: what is type 1 error ?

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Question 934630: Which of the following could not be the value of a correlation coefficient
-1
0
1
2

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Question 934726: if 15% of the units produced by a machine are defective. Determine the probability that out of 4 units chosen at random more than 2 units will be defective.
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Question 934704: Six draws are made from an ordinary deck of playing cards, the card drawn being replaced and the deck thoroughly shuffled before the next draw is made. What is the probability of obtaining exactly 4 spades?
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Question 934696: ~(P=>Q)<=> P ^ (~Q)
Truth table for this statement

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Question 934702: A man draws 1 card from each of 2 separate decks. What is the probability that the card from the first deck is an ace and the one from the second deck a face card?
Click here to see answer by ewatrrr(24785) About Me 

Question 934703: A box contains 3 white balls and 3 black balls. If they are drawn out at random, one at a time, what is the probability that they will be alternately white and black until the box is empty?
Click here to see answer by ewatrrr(24785) About Me 

Question 934718: wat is the probability that 14 randomly selected woman will have a amean height of more than 64.1( show standard normal graph with z-scores. deviation given as 2.75.
Click here to see answer by ewatrrr(24785) About Me 

Question 934751: 1. Given a normally distributed population with mean of 100 and a standard deviation of 20, find P(96 ≤ x-bar ≤ 108). Sample size is 16.
Click here to see answer by stanbon(75887) About Me 

Question 934783: In the year 1990, a study was conducted that showed the average size of a newly constructed home in the U.S. was 2025 square feet. A researcher believes that in 2014 the average size of a newly constructed home is greater than it was in 1990. Suppose he takes a random sample of 100 newly constructed homes and finds the mean size of these homes is 2140 square feet with a standard deviation of 400 square feet. At a=0.05, is there enough evidence to support his claim?
Click here to see answer by Theo(13342) About Me 

Question 934790: How do i calculate the probability that at least 3 exams out of 7 being taken will be passed?
Click here to see answer by stanbon(75887) About Me 

Question 934785: A bag contains six white, five red, and four balls. If six ball are drawn, find the probability that there will be two balls of each color.
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Question 934807: The mean is 12, what is the probability of getting 21 or more?
Click here to see answer by richard1234(7193) About Me 

Question 934810: 22. You Explain It! Superstition: A USA Today/Gallup poll asked 1,006 adult Americans how much it would bother them to stay in a room on the 13th floor of a hotel. Interestingly, 13% said it would bother them. The margin of error was 3 percentage points with 95% confidence. Which of the following represents a reasonable interpretation of the survey results? For those not reasonable, explain the flaw.
(a) We are 95% confident that the proportion of adult Americans who would be bothered to stay in a room on the 13th floor is between 0.10 and 0.16.
Answer:
(b) We are between 92% and 98% confident that 13% of adult Americans would be bothered to stay in a room on the 13th floor.
Answer:
(c) In 95% of samples of adult Americans, the proportion who would be bothered to stay in a room on the 13th floor is between 0.10 and 0.16.
Answer:
(d) We are 95% confident that 13% of adult Americans would be bothered to stay in a room on the 13th floor.

Click here to see answer by Alan3354(69443) About Me 

Question 934826: A post-purchase customer survey indicates that 36 out of 120 randomly selected customers were not satisfied with the quality of their product.
a.Find the summary statistics:
■the sample size, n
■the sample percentage, p
■the standard error, Sp

Click here to see answer by jim_thompson5910(35256) About Me 

Question 934818: ________The correlation coefficient between the hours that a peron is awake during a 24-hour period and the hours that same person is asleep during a 24-hour period is most likely to be
A)Near 0 ; B)Near -0.8 ; C)Near +0.8 ; D)Exactly -1.0 ; E)Exactly +1.0

Click here to see answer by MathLover1(20849) About Me 

Question 934786: Twelve persons are to sit at a round table. Two particular people insist on sitting opposite each other. Find the number of ways the twelve can be seated.
Click here to see answer by josmiceli(19441) About Me 

Question 934869: 74. Twelve items are independently sampled from a production line. If the probability any given item is defective is 0.1, the probability of at most two defectives in the sample is closest to …
o 0.3874
o 0.9872
o 0.7361
• 0.8891
Answer is 0.8891. But I didn't get why:) Please, help me, anyone)

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

Question 934837: In a shipment of 2,500 video games, 97 are defective. If a person buys two games, what is the probability that only one is defective?
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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, 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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