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

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Question 1018104: On a single train journey there is a probability of 0.4 that your ticket will be checked. You make a return-journey, what is the probability that your ticket will be checked only once?
Give your answer as a proportion, rounding to two decimal places.

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

Question 1018122: A bag contain 7 yellow 3 red and 5 green marbles.Jack draws two marbles at random without replacement .What is the probability that none of the marbles are red?
Click here to see answer by Boreal(15235) About Me 

Question 1018149: A biomedical research company produces 49% of its insulin at a plant in Kansas City, and the remainder is produced at a plant in Jefferson City. Quality control has shown that 1.1% of the insulin produced at the plant in Kansas City is defective, while 0.65% of the insulin produced at the plant in Jefferson City is defective. What is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective?
Click here to see answer by Boreal(15235) About Me 

Question 1018171: If the probability of getting a contract A is 0.25, B is 0.15. What is the probability of
a. Getting both contracts
b. Getting contract A only
c. Getting contract B only
d. Not getting both contracts
e. Not getting at least one contract

Click here to see answer by FrankM(1040) About Me 
Question 1018171: If the probability of getting a contract A is 0.25, B is 0.15. What is the probability of
a. Getting both contracts
b. Getting contract A only
c. Getting contract B only
d. Not getting both contracts
e. Not getting at least one contract

Click here to see answer by solver91311(24713) About Me 

Question 1018150: In a random sample of 1,000 people, it is found that 8.7% have a liver ailment. Of those who have a liver ailment, 6% are heavy drinkers, 60% are moderate drinkers, and 34% are nondrinkers. Of those who do not have a liver ailment, 8% are heavy drinkers, 43% are moderate drinkers, and 49% are nondrinkers.
If a person is chosen at random, and he or she is a heavy drinker, what is the empirical probability of that person having a liver ailment?

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

Question 1018146: A bag contain 7 yellow 3 red and 5 green marbles.Jack draws two marbles at random without replacement .What is the probability that one is red and other is green?
Click here to see answer by stanbon(75887) About Me 

Question 1018245: there are 3 roads from A to B,and five roads from B to C.if jack is going from A to C through B and mary is going from C to A through B, what is the probability they will meet each other?
Click here to see answer by ikleyn(52776) About Me 

Question 1018218: Eight of the 40 newly built cars are selected at random to be checked for steering defects. Suppose 10 0f the cars have such defects. Find the probability that all 8 of the selected cars have steering defect.
Click here to see answer by mathmate(429) About Me 

Question 1018220: the amount of coffee cups sold daily at gloria jean's is uniformly distributed with a minimum of 100 cups and maximum of 600 cups. what is the probability that at least 300 cups will be sold.
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Question 633548: A social worker is involved in a study about family structure. She obtains information regarding the number of children per family for a certain community from the census data. Identify the variable of interest, determine whether it is discrete or continuous and list some possible
values.

Click here to see answer by rahnj8(1) About Me 

Question 1018287: the diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. In a random sample of 460 pencils, approximately how many would you expect to have a diameter less than 0.293 inches?
Click here to see answer by mathmate(429) About Me 

Question 1018557: Keith’s Florists has 16 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 16 trucks, 7 have brake problems. A sample of 6 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes? (Round your answer to 4 decimal places.)
Click here to see answer by Boreal(15235) About Me 

Question 1018558: According to a government study among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $1,925. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $610. (Round z-score computation to 2 decimal places and your final answers to 2 decimal places.)

a. What percent of the adults spend more than $2,725 per year on reading and entertainment?

Percent %

b. What percent spend between $2,725 and $3,125 per year on reading and entertainment?

Percent %

c. What percent spend less than $1,300 per year on reading and entertainment?

Percent %

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

Question 1018555: In 1997, a total of 14,968,000 taxpayers in the United States filed their individual tax returns electronically. By the year 2009, the number increased to 78,829,000. What is the geometric mean annual increase for the period? (Round your answer to 2 decimal places.)
Click here to see answer by FrankM(1040) About Me 

Question 1018774: Suppose that a particular physician determines that based on his experience with certain cancers, only 20% survive as long as 4 months following diagnosis. What is the probability that 2 out of 10 patients survive the initial 4 months following diagnosis? Show your work.
B (k;n;p) =

Click here to see answer by mathmate(429) About Me 

Question 1018815: A drug company is developing a new pregnancy-test kit for use on an outpatient basis. The company uses the pregnancy test on 100 women who are known to be pregnant, for whom 96 test results are positive. The company uses the pregnancy test on 100 other women who are known to not be pregnant, of whom 99 test negative.
a) Calculate the sensitivity, specificity and predictive positive value of the test. Write the formula and show your work.

Click here to see answer by mathmate(429) About Me 
Question 1018815: A drug company is developing a new pregnancy-test kit for use on an outpatient basis. The company uses the pregnancy test on 100 women who are known to be pregnant, for whom 96 test results are positive. The company uses the pregnancy test on 100 other women who are known to not be pregnant, of whom 99 test negative.
a) Calculate the sensitivity, specificity and predictive positive value of the test. Write the formula and show your work.

Click here to see answer by Boreal(15235) About Me 

Question 1018826: six question multiple choice statistics exam is given. Each question has 4 possible choices, only one if which is correct. Therefore, the probability of success for each exam is 1/4 or 0.25. What is the probability of passing the exam (4 or more questions), by randomly guessing the answers?
Click here to see answer by Boreal(15235) About Me 

Question 1018835: Select from the following choices: Systematic Sampling, Stratified Random Sampling, Cluster Sampling

A researcher wants to sample therapists in rehabilitation hospitals across the country. Because it may be too difficult to compile such a list, the researcher decides to randomly select 10 states, then randomly select 5 hospitals in each state and, finally, randomly chooses 10 therapists from each hospital. This is an example of:

Click here to see answer by Boreal(15235) About Me 

Question 1018837: A medical researcher is concerned with the effectiveness of a new drug alleviating stomach pain.
What null hypothesis is he testing if the commits a type I error when he erroneously says that the drug is effective?

Click here to see answer by Boreal(15235) About Me 

Question 1018800: A single fair die is tossed once. Let Y be the number facing up. Find the expected value and variance of Y
Click here to see answer by Boreal(15235) About Me 

Question 1018880: A binomial distribution is based on n = 15 trials and success probability p = 0 4. . What is the
probability that the binomial random variable equals its mean value?

Click here to see answer by mathmate(429) About Me 

Question 1018940: a number between 1 and 10000 is randomly selected . what is the probably that it will be divisible by 4 and 5

Click here to see answer by FrankM(1040) About Me 

Question 1018958: find the standard deviation first 13 natural numbers?
Click here to see answer by Marz157(7) About Me 

Question 1018967: I really need your help in solving this problem. I appreciate your time and efforts. Have a terrific day :) Here is the question:
In a population of exam scores, a score of X=48 corresponds to Z= +1.00 and a score of X = 36 corresponds to Z = - 0.50. Find the mean and standard deviation for the population.

Click here to see answer by mathmate(429) About Me 

Question 1018955: A retail company must choose a few employees to send to a national retail conference. Of the 707 employees at this company, 504 are male. If 4 employees are randomly chosen, find the probability that exactly 3 are male.
Click here to see answer by mathmate(429) About Me 
Question 1018955: A retail company must choose a few employees to send to a national retail conference. Of the 707 employees at this company, 504 are male. If 4 employees are randomly chosen, find the probability that exactly 3 are male.
Click here to see answer by robertb(5830) About Me 

Question 1019003: What are the odds that four people are all born on the same day of the week?
Click here to see answer by FrankM(1040) About Me 

Question 1019009: a committee of 5 people must be selected from 5 men and 8 women. 13 people in ALL.
How many ways can a selection be done if there are at least 3 women on the committee?

Click here to see answer by mathmate(429) About Me 

Question 1019046: The chance that the front light on your bike will fail is 0.2, the chance that your rear light will fail is 0.1 and the chance that both will fail is 0.04. What is the chance that both lights will work? (regardless of the answer you should do something about this situation of course).
Give your answer as a proportion, rounding to two decimal places.

Click here to see answer by mathmate(429) About Me 

Question 1019075: You have a pot with 100 balls. 20 of them are red, 50 are blue and 30 are green. You decide to draw 5 balls from the pot without replacement (i.e. you don't put a ball back in the pot once it has been taken out). What is the probability of drawing five blue balls?
Give your answer to 3 decimal places.

Click here to see answer by Fombitz(32388) About Me 
Question 1019075: You have a pot with 100 balls. 20 of them are red, 50 are blue and 30 are green. You decide to draw 5 balls from the pot without replacement (i.e. you don't put a ball back in the pot once it has been taken out). What is the probability of drawing five blue balls?
Give your answer to 3 decimal places.

Click here to see answer by mathmate(429) About Me 

Question 1019077: You have a pot with 100 balls. 20 of them are red, 50 are blue and 30 are green. You decide to draw 5 balls from the pot without replacement (i.e. you don't put a ball back in the pot once it has been taken out). What is the probability of drawing five blue balls?
Give your answer to 3 decimal places.

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

Question 1019034: A study reports that the mean birth weight of 81 full-term infants is 6.1 pounds. The study also reports “SE= 0.22 pounds” What is the margin of error of this estimate for 95% confidence? Please explain.
Click here to see answer by Fombitz(32388) About Me 

Question 1018500: Over the years, it has been observed that of all the lawyers who take the state bar exam, only 57% pass. Suppose that this year 850 lawyers are going to take the Ohio bar exam. What is the probability that
Click here to see answer by fractalier(6550) About Me 

Question 1019073: You roll a pair of dice 20 times and record how often you get a total of 5 or 10. What is your best guess for the relative frequency that this event (a total of 5 or 10) occurs without seeing the actual data?
Give your answer as a proportion, rounding to three decimal places.

Click here to see answer by fractalier(6550) About Me 

Question 1019085: You roll a pair of dice 20 times and record how often you get a total of 5 or 10. What is your best guess for the relative frequency that this event (a total of 5 or 10) occurs without seeing the actual data?
Give your answer as a proportion, rounding to three decimal places.

Click here to see answer by fractalier(6550) About Me 

Question 1019078: You roll a pair of dice 20 times and record how often you get a total of 5 or 10. What is your best guess for the relative frequency that this event (a total of 5 or 10) occurs without seeing the actual data?
Give your answer as a proportion, rounding to three decimal places.

Click here to see answer by fractalier(6550) About Me 

Question 1019132: A class is taking a multiple-choice quiz that consists of 15 questions. Each question has 3 answer options: A, B, and C. The instructor made a mistake and printed the quiz for a much more advanced class. The students don’t know any of the content and they randomly guess at every question.
Explain why this is a binomial random.
What are the values of the parameters n and p?
What is the mean quiz score?
What is the standard deviation of the quiz scores?
In order to pass, a student needs to get 9 or more questions correct. What is the probability that a student will get 9 or more questions correct?
What is the probability that a student will get exactly 9 questions correct?
What is the probability that a student will get all 15 questions correct?

Click here to see answer by mathmate(429) About Me 

Question 1019208: Use formula for Permutations to calculate in how many ways you can select 2 people out of 10, order of selection makes a difference.
Click here to see answer by Theo(13342) About Me 

Question 1019204: The personnel manager of a manufacturing company has cross-classified the 400 employees of his company according to their record of absenteeism last year, and whether or not they were smokers, as shown in the following table.
Number of days absent Smoker Nonsmoker
Less than 10 34 260
10 or more 78 28
If one of these employees is selected at random.
a. What is the probability that the employee selected was a non-smoker?
b. What is the probability that the employee selected was absent for 10 or more days?
c. Are the events “non-smoker” and “absent less than 10 days” mutually exclusive? Explain.
d. What is the probability that the employee selected was absent for less than 10 days given that the employee is a smoker?
e. What is the probability that the employee selected was absent for less than 10 days given that the employee does not smoke?

Click here to see answer by robertb(5830) About Me 

Question 1019220: when we are using S.E instead of standard deviation for probability determination
Click here to see answer by Theo(13342) About Me 

Question 1019320: On average, a fraction 0.48 of newborns are girls. What are the chances that in a family with 4 children there are exactly three daughters.
Click here to see answer by fractalier(6550) About Me 

Question 1019322: A multiple choice exam consists of 12 questions, each having 5 possible answers. To pass you must answer at least 8 out of 12 correctly. What are your chances if you go into the exam without knowing a thing and have to resort to pure guessing?
Click here to see answer by mathmate(429) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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