Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1194852: Box A contains 5 red balls and 4 white balls. Box B contains 6 red balls and 5 white balls. If one ball is selected at random without looking at the boxes and is found red, what is the probability it came from box A?
Click here to see answer by shlomitg(8)   |
Question 1194872: The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.5% or more are defective, they call repair technicians for service.
The control department is going to take a random sample of 4400 light bulbs. Let be the proportion of defective light bulbs in the sample assuming the machinery is working correctly.
(a)Find the mean of p̂.
(b)Find the standard deviation of p̂.
(c)Compute an approximation for P(p̂ >0.015), which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.
Click here to see answer by Boreal(15235)  |
Question 1194868: Box A contains 5 red balls and 4 white balls. Box B contains 6 red balls and 5 white balls. If one ball is selected at random without looking at the boxes and is found red, what is the probability it came from box A?
Click here to see answer by Boreal(15235) |
Question 1194830: Annual per capita consumption of milk is 21.6 gallons (Statistical Abstract of the United
States: 2006). Being from the Midwest, you believe milk consumption is higher there and
wish to support your opinion. A sample of 16 individuals from the midwestern town of
Webster City showed a sample mean annual consumption of 24.1 gallons with a standard
deviation of s 4.8.
a. Develop a hypothesis test that can be used to determine whether the mean annual
consumption in Webster City is higher than the national mean.
b. What is a point estimate of the difference between mean annual consumption in
Webster City and the national mean?
c. At α .05, test for a significant difference. What is your conclusion?
Click here to see answer by Boreal(15235) |
Question 1194904: Please help me to solve this two students take a college entrance exam known to have a normal distribution of scores. The students receive raw scores of 63 and 93, which correspond to z scores (often called the standardized scores) of �1 and 1.5, respectively. Find the mean and standard deviation of the distribution of raw exam scores
Click here to see answer by Solver92311(821)  |
Question 1194780: What is the distribution of the weights of a sample of 1,300 cargo containers is symmetric and bell-shaped?
According to the Empirical Rule, what percent of the weights will lie between X¯¯¯−2s and X¯¯¯+2s? (Round your answer to 2
I know you have to use the 68%, 95%, 99.7 Empirical Rule. I don't know how to start the problem off if I don't know the standard deviation or mean.
Click here to see answer by Solver92311(821) |
Question 1194945: Please help me solve this word problem about Compound Events:(union, intersection and complement):
Of 500 college students, 115 are enrolled in math, 205 are enrolled in English, and 45 are enrolled in both. If a student is selected at random, find the probability of the following. (See Example 5. Round your answers to three decimal places.)
(a) The student is enrolled in mathematics.
(b) The student is enrolled in English.
(c) The student is enrolled in both.
(d) The student is enrolled in mathematics or English.
(e) The student is enrolled in English but not in mathematics.
(f) The student is not enrolled in English or is enrolled in mathematics.
Click here to see answer by math_tutor2020(3816) |
Question 1194945: Please help me solve this word problem about Compound Events:(union, intersection and complement):
Of 500 college students, 115 are enrolled in math, 205 are enrolled in English, and 45 are enrolled in both. If a student is selected at random, find the probability of the following. (See Example 5. Round your answers to three decimal places.)
(a) The student is enrolled in mathematics.
(b) The student is enrolled in English.
(c) The student is enrolled in both.
(d) The student is enrolled in mathematics or English.
(e) The student is enrolled in English but not in mathematics.
(f) The student is not enrolled in English or is enrolled in mathematics.
Click here to see answer by ikleyn(52752)  |
Question 1194949: Please help me solve this Simple Interest word problem:
The Otwell Company puts $18,000 per year into a sinking fund to purchase major equipment. The fund earns 7.2% interest compounded annually. Find the amount in the fund after 8 years. (Round your final answer to two decimal places.)
$
Click here to see answer by ikleyn(52752) |
Question 1194950: Please help me solve this word problem about Simple Interest:
$1000 is deposited into an account at the end of each year for 4 years. The money earns 3% compounded annually. Determine the value of each deposit at the end of 4 years and the total in this account at that time. (Round your final answers to two decimal places.)(Remember: The compounding periods and the deposit periods are the same for an ordinary annuity.)
deposit 1 $
deposit 2 $
deposit 3 $
deposit 4 $
account total $
Click here to see answer by ikleyn(52752) |
Question 1194948: Please help me solve this word problem about Simple Interest:
The compounding periods and the payment periods are the same for an annuity and for an amortization. Determine the present value of the annuity that will pay the given periodic payments. (Round your final answer to two decimal places.)
Periodic payments of $2700 annually for 14 years. The interest is 6% compounded annually.
$
Click here to see answer by ikleyn(52752) |
Question 1194952: Please help me solve this word problem about Compounded Account(s):
The Otwell Company puts $18,000 per year into a sinking fund to purchase major equipment.
The fund earns 7.2% interest compounded annually. Find the amount in the fund after 8 years.
(Round your final answer to two decimal places.)
$
Click here to see answer by Theo(13342)  |
Question 1194947: Please help me solve this word problem using Combinations:
A quiz team of 5 children is to be selected from a class of 24 children. There are 14 girls and 10 boys in the class.
(a) How many teams made up of 3 girls and 2 boys can be selected?
teams
(b) How many teams can be selected with at least 3 girls?
teams
Click here to see answer by Theo(13342) |
Question 1194951: Please help me solve this Basic Counting Principle problem:
Consider the following.
(a) In how many different ways can a player select a club and a diamond from a deck of 52 bridge cards?
ways
(b) In how many different ways can a player select one card of each suit from a bridge deck?
ways
Click here to see answer by Alan3354(69443)  |
Question 1194951: Please help me solve this Basic Counting Principle problem:
Consider the following.
(a) In how many different ways can a player select a club and a diamond from a deck of 52 bridge cards?
ways
(b) In how many different ways can a player select one card of each suit from a bridge deck?
ways
Click here to see answer by greenestamps(13195)  |
Question 1194963: In a certain town, male and female each form 50% of the population. It is known that 20% of the males and 5% of the females are unemployed. A research student studying the employment situation selects an unemployed person at random. What is the probability that the person so selected is: (a) male (b) Female
Click here to see answer by greenestamps(13195) |
Question 1194956: 5. Assume that among diabetics the fasting blood level of glucose is approximately normally distribute with a mean of 105 mg per 100 ml and SD of 9 mg per 100 ml.
a) What proportions of diabetics have levels between 90 and 120 mg per 100 ml?
b) What proportions of diabetics have levels below 85.4 mg per 100 ml?
c) What level cuts of the lower 15% of diabetics?
d) What are the two levels which encompass 95% of diabetics?
Click here to see answer by ikleyn(52752) |
Question 1194992: Please help me with this problem: Sally is playing a dice game with 2 standard 6-sided dice. To win the game, Sally will roll the dice twice. The sum of the dice on the first roll must be less than 6 and the sum on the 2nd roll must be at least 10. What is the probability that Sally wins this game?
Click here to see answer by Solver92311(821) |
Question 1194992: Please help me with this problem: Sally is playing a dice game with 2 standard 6-sided dice. To win the game, Sally will roll the dice twice. The sum of the dice on the first roll must be less than 6 and the sum on the 2nd roll must be at least 10. What is the probability that Sally wins this game?
Click here to see answer by ikleyn(52752) |
Question 1194909: We assume that the age of employees in a public company has normal middle-aged distribution of 44 years and standard deviation 2 years. Find the percentage of employees by age in percentage?
a) under 48 years,
b) between 39 and 49 years,
c) over 49 years
Click here to see answer by Boreal(15235) |
Question 1194910: A bank manager wants to provide fast customer service at the bank counter. Currently the bank can serve up to 10 customers for a period of 15 minutes without significant delay. The average speed of arrival is 7 customers for a period of 15 minutes. Let x be the number of customers who arrive in a 15-minute period. Assuming x has Poisson distributions,
a) Find the probability that 10 customers will arrive in a certain 15-minute period.
b) Find the probability that there will be significant waiting at the counter during a certain 15-minute period.
Click here to see answer by Boreal(15235) |
Question 1194720: 126 students at a college were asked whether they had completed their required English 101 course, and 95 students said "yes". Find the best point estimate for the proportion of students at the college who have completed their required English 101 course. Round to four decimal places.
I got the answer, .7540 and I know this to be correct, however I lost my notes and cannot seem to remember the set up for the problem. I did use my Ti-84 calculator to find the answer. If you could walk me through this again, that would be very helpful. Thank you!
Click here to see answer by Boreal(15235) |
Question 1194849: An urn contains 5 white and 7 black balls. Another urn contains 3 white and 9 black balls. If one ball from the first urn is selected at random and is transferred to the second urn, what is the probability that the ball transferred is black given that a second ball drawn from the second urn gives a black?
Click here to see answer by greenestamps(13195) |
Question 1195020: There is a circle with 1 m diameter and a dot is randomly put within it. a) What is the probability that after 9 randomly put dots just 3 of them would be located more than 0.75 from the centre? b) What is the probability that after placing 217 random dots, just 3 of the dots would be located no further than 0.1 away from the centre?
Click here to see answer by ikleyn(52752) |
Question 1195018: There are 4 white and 7 black marbles in a basket. We are picking out them one by one and return them back to the basket. What is the chance that after picking out the marbles 7 times, 5 of those marbles are going to be white? What is the most probable amount of white marbles being picked?
Click here to see answer by ikleyn(52752) |
Question 1195013: There is a 1 m wide road. Two turtles start to crawl down the road from opposite directions towards one another. What is the probability of them not bumping each other if their shell diameter is 11 cm?
turtle_A--->.0
road->|------|-------|
--------|------V-------|
--------|<--1 m---->|
--------|--------^-----|
--------|--------|-----|
-----------------0 <- turtle B
Click here to see answer by greenestamps(13195) |
Question 1195022: There are two baskets and each of them have 4 white and 8 black marbles. Two random marbles from the basket A have been transfered to the basket B. a) After the transfer what is the probability of the first marble picked from basket B being white? b) Lets say the first marble was white. What is the probability that when the transfer happened, one black and one white marble were put in basket B
Click here to see answer by Edwin McCravy(20054)  |
Question 1195025: Suppose that two teams, A and B, play each other five times over a season (not best of five series, but they play all five games). If Team A has a .6 probability of winning any given game complete the probability distribution below (2 points):
XA P(XA)
0 .01
1 .08
2
3
4
5
Total 1.0
What is the probability that Team A sweeps the season series (wins all five matchups)?
What is the probability that Team A wins at least three games?
What is the probability that Team A gets swept (does not win a game)?
Click here to see answer by Boreal(15235) |
Question 1195007: A population proportion is .40. A simple random sample of size 200 will be taken and the
sample proportion will be used to estimate the population proportion.
A. Compute the standard error of the proportion
B. What is the probability that the sample proportion will be within+.03 of the
population proportion?
C. What is the probability that the sample proportion will be within +.05 of the population
proportion?
Click here to see answer by Boreal(15235) |
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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, 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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, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580, 41581..41625, 41626..41670, 41671..41715, 41716..41760, 41761..41805, 41806..41850, 41851..41895, 41896..41940, 41941..41985, 41986..42030, 42031..42075, 42076..42120, 42121..42165, 42166..42210, 42211..42255, 42256..42300, 42301..42345, 42346..42390, 42391..42435, 42436..42480, 42481..42525, 42526..42570, 42571..42615, 42616..42660, 42661..42705, 42706..42750, 42751..42795, 42796..42840, 42841..42885, 42886..42930, 42931..42975, 42976..43020, 43021..43065, 43066..43110, 43111..43155, 43156..43200, 43201..43245, 43246..43290, 43291..43335, 43336..43380, 43381..43425, 43426..43470, 43471..43515, 43516..43560, 43561..43605, 43606..43650, 43651..43695, 43696..43740, 43741..43785, 43786..43830, 43831..43875, 43876..43920, 43921..43965, 43966..44010, 44011..44055, 44056..44100, 44101..44145, 44146..44190, 44191..44235, 44236..44280, 44281..44325, 44326..44370, 44371..44415, 44416..44460, 44461..44505, 44506..44550, 44551..44595, 44596..44640, 44641..44685, 44686..44730, 44731..44775, 44776..44820, 44821..44865, 44866..44910, 44911..44955, 44956..45000, 45001..45045, 45046..45090, 45091..45135, 45136..45180, 45181..45225, 45226..45270, 45271..45315, 45316..45360, 45361..45405, 45406..45450, 45451..45495, 45496..45540, 45541..45585, 45586..45630, 45631..45675, 45676..45720, 45721..45765, 45766..45810, 45811..45855, 45856..45900, 45901..45945, 45946..45990, 45991..46035, 46036..46080, 46081..46125, 46126..46170, 46171..46215, 46216..46260, 46261..46305, 46306..46350, 46351..46395, 46396..46440, 46441..46485, 46486..46530, 46531..46575, 46576..46620, 46621..46665, 46666..46710, 46711..46755, 46756..46800, 46801..46845, 46846..46890, 46891..46935, 46936..46980, 46981..47025, 47026..47070, 47071..47115, 47116..47160, 47161..47205, 47206..47250, 47251..47295, 47296..47340, 47341..47385, 47386..47430, 47431..47475, 47476..47520, 47521..47565, 47566..47610, 47611..47655, 47656..47700, 47701..47745, 47746..47790, 47791..47835, 47836..47880, 47881..47925, 47926..47970, 47971..48015, 48016..48060, 48061..48105, 48106..48150, 48151..48195, 48196..48240, 48241..48285, 48286..48330, 48331..48375, 48376..48420, 48421..48465, 48466..48510, 48511..48555, 48556..48600, 48601..48645, 48646..48690, 48691..48735, 48736..48780, 48781..48825, 48826..48870, 48871..48915, 48916..48960, 48961..49005, 49006..49050, 49051..49095, 49096..49140, 49141..49185, 49186..49230, 49231..49275, 49276..49320, 49321..49365, 49366..49410, 49411..49455, 49456..49500, 49501..49545, 49546..49590, 49591..49635, 49636..49680, 49681..49725, 49726..49770, 49771..49815, 49816..49860, 49861..49905, 49906..49950, 49951..49995, 49996..50040, 50041..50085, 50086..50130, 50131..50175, 50176..50220, 50221..50265, 50266..50310, 50311..50355, 50356..50400, 50401..50445, 50446..50490, 50491..50535, 50536..50580, 50581..50625, 50626..50670, 50671..50715, 50716..50760, 50761..50805, 50806..50850, 50851..50895, 50896..50940, 50941..50985, 50986..51030, 51031..51075, 51076..51120, 51121..51165, 51166..51210, 51211..51255, 51256..51300, 51301..51345
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