Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1051187: We are estimating the spares requirement for a radar power supply. The power supply was designed with a mean (μ) life of 6500 hours. The standard deviation (σ) determined from testing is 750 hours. What is the likelihood that a power supply would fail between 7225 and 7500 hours?
.3340 or 33.40%
.1066 or 10.66%
.0742 or 7.42%
.4082 or 40.82%
Click here to see answer by ewatrrr(24785)   |
Question 1051208: Hello:
If a Senator is selected at random, find this probability:
P(Republican given term expires in 2017)
Party 2013 2015 2017 Total
Democrat 21 20 1 42
Republican 8 15 13 36
Total 29 35 14 78
I cannot get this problem correct. I want to do the following and it is not the correct answer: 13/78
Thank You
Click here to see answer by Fombitz(32388)  |
Question 1051245: You order 13 burritos to go from a Mexican restaurant, 8 with hot peppers and 5 without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability that exactly two have hot peppers.
Click here to see answer by ewatrrr(24785) |
Question 1051203: Could I get some help on this please?
True or False: If a 99% confidence interval for a population mean contains 1, then the 95% confidence interval for the same parameter must contain 1. (Justify please)
Thanks for any help!
Click here to see answer by richard1234(7193)  |
Question 1051299: What score is 1/2 standard deviation above the mean?
A standardized test was given to a set of high school juniors and the distribution of the data is bell shaped. The mean score is 800 and the standard deviation is 120.
Click here to see answer by stanbon(75887) |
Question 1051311: An NBA player makes a successful free throw 83% of the time. If he takes 7 shots, find the probability that he will make
a) exactly 5 shots
b) at least 6 shots
I wasn't sure how to get started on this problem. I figured I needed to use a tree diagram, but I don't know where to go from there.
Click here to see answer by stanbon(75887) |
Question 1051295: Can someone show me how to work these type of math questions? Please, check the ones I tried to do. Thank you for your help.
On the average, members at a local fitness center work out for 90 minutes with a standard deviation of 15 minutes. The distribution is normal.
a) What percentage of the fitness club members work out for 45 minutes or less?
b) What percentage of the fitness club members work out for 2 hours and 15 minutes or more?
c) 68% of the fitness club members work out between which two time intervals?
(Mean - std) and (Mean + std)
(90 - 15) and (90 + 15)
75 and 105
d) We can say that 99.7% of the fitness club members work out for no more than ____________ minutes.
(Mean - 3 × std) and (Mean + 3 × std)
(90 - 3 × 15) and (90 + 3 × 15)
45 and 135
Click here to see answer by stanbon(75887) |
Question 1051405: The federal government states that 79% of Canadians are in favour of Canada's ratifying the Kyoto Accord. If this is the true proportion of Albertans favouring ratification, (Input answers to four decimal places)
(a) what is the probability that, in a random sample of 40 Albertans, exactly 24 would support ratification?
(b) what is the probability that at least 24 but no more than 34 would support ratification?
(c) what is the expected number in a sample of 40 Albertans who would oppose
ratification
Click here to see answer by ewatrrr(24785) |
Question 1051418: Find the least squares regression. Then find the correlation coefficient for the regression line and round four decimal places.
Number chart: https://s15.postimg.org/3la5pgvcr/graph_gain.png
A.) 0.9766
B.) 0.9537
C.) 0.971
D.) 0.6547
THANKS
Click here to see answer by rolling_meadows(22)  |
Question 1051519: Ten voters are randomly selected and asked if they will vote for the incumbent President. Five say yes and three say no. Two students are randomly selected with no replacement between selections.
Draw a tree diagram for the two draw and indicate all probabilities
What is probability two students will say yes?
What is the probability that two will say no?
What is the probability that the selection ends up with a one yes and one no?
What is the probability that the second said yes after the first said no?
I have multiple problems such as this one and I know that if I had one example I could work off of it would help me understand better the process. I appreciate anything you could help me with. Thank you for your patience.
Click here to see answer by Boreal(15235)  |
Question 1051541: The Vending Machine Problem
Have you ever encountered an automatic vending machine with hot drinks at UCLA, another
college campus, or maybe a highway rest area? The intended sequence of events runs something
like this: You insert your money into the machine and select your preferred beverage. A cup falls
out of the machine, landing upright. Liquid streams out of the machine's pour spout until the cup
is nearly full. You reach in, grab the piping hot cup, and drink happily.
Sometimes, things go wrong. The machine might eat your money. Or the cup might not release
until after the liquid has been poured. More frequently, everything goes smoothly until the liquid
begins to flow. It might stop flowing when the cup is only half full. Alternatively, the liquid
might keep on coming until your cup overflows. Neither of these results leaves you satisfied.
The vending machine company wants to keep customers like you happy. So they have decided
to hire your group as statistical consultants. They provide you with the following information:
Cups will hold 8 ounces.
The amount of liquid dispensed varies approximately Normally about the mean weight
programmed into the machine.
standard diviation of 0.2 ounces.
You cannot adjust the variability of the machine without substantial, unacceptable added
costs.
A cup of hot beverage costs the customer $0.50, and the company spends $0.10 for the cup
and $0.02 per ounce.
Perform statistical and cost analyses to determine what mean amount of liquid dispensed should
be programmed into the machine. Support your calculations with clear explanations. The end
product should be a report to the vending machine company CEO
Click here to see answer by solver91311(24713)  |
Question 1051443: The traffic light at the center of town is green for 45 seconds, then yellow for 5 seconds, then red for 40 seconds, at which point the cycle repeats. If a car approaches the traffic light at a random time, what is the probability that the traffic light will be green?
Click here to see answer by solver91311(24713) |
Question 1050271: Data files on computers have sizes measured in megabytes. When files are sent from one computer to another down a communications links, the number of errors has a Poisson distribution. On average, there is one error for every 10 megabytes of data.
a. Find the probability that a 3 megabyte files is transmitted
(i) without error; (ii) with 2 or more errors.
b. Show that a file which has a 95% chance of being transmitted without error is a little over half a megabyte in size.
A commercial organisation transmits 1000 megabytes of data per day.
c. State how many errors per day they will incur on average.
Click here to see answer by robertb(5830)  |
Question 1051296: Find the least squares regression. Then find the correlation coefficient for the regression line and round four decimal places.
Number chart: https://s15.postimg.org/3la5pgvcr/graph_gain.png
A. 
B.) 
C.) 
D.) 
Click here to see answer by robertb(5830) |
Question 1051565: From a random sample of 70 high school seniors in a particular school district , the mean and standard deviation of the verbal scores in the scholastic Aptitute Test (SAT) are found to be 433 and 47, respectively. Based on this sample, construct a 98 % confidence interval for the mean verbal score in the SAT for the population of all seniors in this school district.
Thank you
Click here to see answer by rothauserc(4718)  |
Question 1051563: I have to find two light bulbs from a collection of 12, all but 3 of which are working. If I test each one in turn, what is the probability that I would find two working bulbs.
(a) among the three bulbs tested.
(b) when three bulbs have been tested, but not before
Click here to see answer by ewatrrr(24785) |
Question 1051620: An 1868 paper by German physician Carl Wunderlich reported, based on over a million body temperature readings, that healthy adult body temperatures are approximately normally distributed with mean 98.6 degrees Fahrenheit and standard deviation 0.6.
a)Based on this study, what percentage of healthy adults have a body temperature that is below 98.1 degrees?
b)Fill in the blank. Approximately 90% of healthy adults have a body temperature that is above ________ (how many?) degrees.
Click here to see answer by Boreal(15235) |
Question 1051630: 40% percent of households say they would feel secure if they had $50,000 in savings. You randomly select 88 households and ask them if they would feel secure if they had $50,000 in savings. Find the probability that the number that say they would feel secure is (a) exactly five, (b) more than five, and (c) at most five.
Click here to see answer by Boreal(15235) |
Question 1051635: Expected Value
A bag contains 2 gold marbles, 7 silver marbles, and 23 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $4. If it is silver, you win $2. If it is black, you lose $1.
What is your expected value if you play this game?
Click here to see answer by jorel555(1290) |
Question 1051667: There are 8 different foods in the refrigerator. How many different ways can we take 3 of them to make a meal, if the order of the items eaten is not important?
If the order of the 3 different foods eaten is important?
Click here to see answer by Theo(13342)  |
Question 1051671: Kyd and North are playing a game. Kyd selects one card from a standard 52-card deck. If Kyd selects a face card (Jack, Queen, or King), North pays him $5. If Kyd selects any other type of card, he pays North $3.
a) What is Kyd's expected value for this game? Round your answer to the nearest cent. $
b) What is North's expected value for this game? Round your answer to the nearest cent. $
c) Who has the advantage in this game?
Click here to see answer by addingup(3677)  |
Question 1051689: A study of college students shows that 8 out of 12 students prefer a pc computer system while 4 prefer a mac. Randomly select two students with no replacement between selections.
a Draw a tree diagram and place probabilities on each branch...I have done this part..
b What is the probability that both would prefer a Mac
c What is the probability that at least one would prefer a Mac
d What is the probability that one would prefer a Mac and one a PC
e What is the probability that one would prefer a Mac after one who prefers a PC
Click here to see answer by stanbon(75887) |
Question 1051693: Tickets for a raffle cosr
$
$14. There were 834 tickets sold. One ticket will be randomly selected as the winner, and that person wins
$
$1200 and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?
If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal place
Click here to see answer by stanbon(75887) |
Question 1051636: Let S be the universal set, where: S={1,2,3,...,18,19,20}
Let sets A and B be subsets of S, where:
Set A={2,4,5,8,14,15,18}
Set B={2,3,4,6,9,11,15,16,17,19}
The number of elements in the set n(A∪B) =
The number of elements in the set n(A∩B) =
Click here to see answer by ikleyn(53751)  |
Question 1051715: Hello:
I can solve the following using the formula but cannot figure out how to do this problem using the binomial table.
Approximately 10% of American High School students drop out of school before graduation. Choose 10 students entering High School at random. Find the probability that at least 6 will graduate. Meaning P(graduating) = 100%-10% = 90% or p = .90 = 90% or p=.90 I changed it from 10.3% to 10% so p is 90% or .90, so that you can use the table to find the answer instead of the formula. Remember use 90% and use the table in the back of the text, Table B, not the formula for this one.
I understand that (6 <= x < 10)
The book gives X = .001 (is this the probability
How did they get .001 for X
How did they get q = 0.1
Did X = 5 come from the fact that x = 6, 7, 8, 9, 10
Help is greatly appreciated
Click here to see answer by Theo(13342) |
Question 1051786: From past experience, a company found that in cartons of DVDs, 90% contain no defective DVDs, 5% contain one defective DVD, 3% contain two defective DVDs, and 2% contain three defective DVDs. Find the mean, variance, and standard deviation for the number of defective DVDs. Please explain all steps.
Thank you!
Click here to see answer by stanbon(75887) |
Question 1051786: From past experience, a company found that in cartons of DVDs, 90% contain no defective DVDs, 5% contain one defective DVD, 3% contain two defective DVDs, and 2% contain three defective DVDs. Find the mean, variance, and standard deviation for the number of defective DVDs. Please explain all steps.
Thank you!
Click here to see answer by Boreal(15235) |
Question 1051823: As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King).
If you select a card at random, what is the probability of getting:
1) A(n) 4 of Spade s?
2) A Diamond or Heart?
3) A number smaller than 7 (counting the ace as a 1)?
Click here to see answer by solver91311(24713) |
Question 1051903: Asking for assistance
As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King).
If you select a card at random, what is the probability of getting:
1) A(n) 4 of Spade s?
2) A Diamond or Heart?
3) A number smaller than 7 (counting the ace as a 1)?
Click here to see answer by solver91311(24713) |
Question 1051904: Giving a test to a group of students, the grades and genders are summarized below.
A B C Total
Male 8 5 6 19
Female 15 3 4 22
Total 23 8 10 41
If one student is chosen at random,
find the probability that the student was female OR received a grade of "C". (Leave answer to four decimal places.)
Click here to see answer by solver91311(24713) |
Question 1051917:
Would someone mine answering this problem?
A poll was taken of 13,290 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results are shown below.
Education Level Male Female Total
High School or Less 2756 2318 5074
Bachelor's Degree 3888 3372 7260
Master's Degree 324 549 873
Ph.D. 43 40 83
Total 7011 6279 13,290
A person is selected at random. Compute the following probabilities.
(a) What is the probability that the selected person does not have a Ph.D.?
(b) What is the probability that the selected person does not have a Master's degree?
(c) What is the probability that the selected person is female or has a Master's degree?
(d) What is the probability that the selected person is male or has a Ph.D.?
Click here to see answer by Boreal(15235) |
Question 1051921:
Is the answer correctly done?
A test was given to a group of students. The grades and gender are summarized below
A B C Total
Male 6 8 16 30
Female 17 14 3 34
Total 23 22 19 64
If one student is chosen at random from those who took the test,
Find the probability that the student got a 'C' GIVEN they are male.
1/4 or 19/64
Click here to see answer by Boreal(15235) |
Question 1051920: In a random sample of 64 audited estate tax returns, it was determined that the mean amount of additional tax owed was $3489 with a standard deviation of $2595.
Construct and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns.
1) The lower bound is $?
2) The upper bound is $?
Click here to see answer by Boreal(15235) |
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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, 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