Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1062655: Consider the following events for a family with children:
A = {children of both sexes}, B = {at most one boy}.
(i) Show that A and B are independent events if a family has three children.
(ii) Show that A and B are dependent events if a family has only two children.
Click here to see answer by ikleyn(52754)   |
Question 1062837: An instructor gives an exam with fourteen questions. Students are allowed to choose any ten to answer.
Suppose six questions require proof and eight do not.
How many groups of ten questions contain four that require proof and six that do not?
Click here to see answer by Boreal(15235)  |
Question 1062833: India plays two matches each with Sri Lanka and South Africa. In any match the probability of India
getting points 0, 1, 2 are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are
independent, find the probability of India getting at least 7 points.
Click here to see answer by Boreal(15235) |
Question 1062843: An instructor gives an exam with fourteen questions. Students are allowed to choose any ten to answer.
Suppose six questions require proof and eight do not.
1-How many groups of ten questions contain at least one that requires proof?
2-How many groups of ten questions contain at most three that require proof?
My answers
for 1: C(6,2)*C(8,8)+C(6,3)*C(8,7)+C(6,4)*C(8,6)+C(6,5)*C(8,5)+C(6,6)*C(8,4)
for 2: C(6,2)*C(8,8)+C(6,3)*C(8,7)
i am not sure if they are correct
Click here to see answer by math_helper(2461)  |
Question 1062946: An instructor gives an exam with fourteen questions. Students are allowed to choose any ten to answer.
Suppose the exam instructions specify that either both questions 1 and 2 are to be included among the ten or neither is to be included. How many different choices of ten questions are there?
Click here to see answer by Fombitz(32388)  |
Question 1062473: A box contains four bolts. Two of them, labelled #1 and #2, are 5 mm diameter, and two of them labelled #3 and # 4, are 7 mm diameter. Bolts are randomly selected until a 5 mm bolt is obtained. The outcomes are the sequences of bolts that can be selected. So one outcome is 1 and another is 342.
i.List all the possible outcomes.
ii.Let A be the event that only one bolt is selected. List the outcomes in A..
iii.Let B be the event that three bolts are selected. List the outcomes in B.
iv.Let C be the event that bolt #2 is selected. List the outcomes in C.
v.Let D be the event that bolt #4 is not selected. List the outcomes in D.
vi.Let E be the event that bolt #1 is selected. Are A and E mutually exclusive? How about B and E, C and E and D and E?
Click here to see answer by Fombitz(32388) |
Question 1063045: Help pls. suppose an individual's scores on repetitions of a certain task are independently and normally distributed with mean 100 and standard deviation 20. a score is said to be low if it is below 70, high if it is above 120, and medium if it is between 70 and 120. determine the probability that the individual scores two lows, five mediums, and three highs in ten repetitions of the task.thanks!
Click here to see answer by rothauserc(4718)  |
Question 1062130: A researcher decides to find out whether giving students positive reinforcement improves or impairs their grades. The researchers sample group consists of the following 8 students: 0 Jack,1 Tucker,2 Susie, 3 Jill, 4 Charianna, 5 Trey, 6 Ashton, 7 Jordan. 52197,66082,97867,49397,47924,78900,59414,64755,48733. Which of the following represents a 5-person group selected for the treatment group using the first number in the line from a table of random numbers above? A. Charianna,Tucker,Jack,Ashton Trey B. Charianna, Tucker, Jack, nobody, Ashton C. Trey, Susie, Tucker, Jordan, Ashton D. Tucker,Susie,Trey, Ashton, Jordan
Click here to see answer by ikleyn(52754) |
Question 1063136: How do I work these problems out?
1. A study of 40 people found that they could do on the average 15 pull ups with a standard deviation of .6. Find the 99% confidence interval for the mean of the population.
2. A study of 50 pizza delivery workers found that they could make 6 deliveries per hour with a standard deviation of 1. Find the 95% confidence interval of the mean for all pizza delivery workers.
3. A random sample of 50 households showed that the average number of TVs in each household is 2.3 with a standard deviation of .4. Find the 90% confidence level for the average number of TVs in every household in the population.
4. A researcher revealed that the average number of people who have a driver's license out of a sample of 100 people is 1.5 with a standard deviation of .3. Find the 80% confidence interval for the mean of the population.
5. The following random sample was selected: 4, 6, 3, 5, 9, 3. Find the 95% confidence interval for the mean of the population.
6.In a sample of 35 high school seniors, 14 of them are attending college in the fall. Find the 95% confidence interval for the true proportion of high school seniors that will attend college in the fall from the population.
7. In a sample of 200 people, 76 people would rather work out at home than in a gym. Find the 99% confidence interval for the true proportion of people who would rather work out at home than in a gym for the entire population.
0.76 +/- (2.575)(√0.76)/(-0.24)/√200
0.71323264675
0.713 - .5/1000 = 0.7125 - .5/.0005 = 0.712
0.713 + .5/1000 = 0.7125 +.5/.0005 = 0.714
The 99% confidence interval is +/- 0.76.
71.2% - 71.4%
8. A study found that out of 300 people 60% of them prefer to eat hamburgers rather than hot dogs. Find the 95% confidence interval for the true proportion of people who prefer to eat hamburgers rather than hot dogs in the entire population.
Thank for your help in advance on these problems.
Click here to see answer by ikleyn(52754) |
Question 1063131: two golfers, smith and jones, are attempting to qualify for a golf championship. it is estimated that the probability of jones qualifying is 0.8, and that probability of both smith and jones qualifying is 0.6. given that the probability of smith qualifying and the probability of jones qualifying are independent, find the probability that only one of them are qualify
Click here to see answer by Boreal(15235) |
Question 1063202: A person can order a new car with a choice of 12 possible colors, with or without air conditioning, with or without automatic transmission, with or without power windows, and with or Without a CD player. In how many different ways can a new car be ordered with regard to these actions?
Click here to see answer by josmiceli(19441)  |
Question 1063202: A person can order a new car with a choice of 12 possible colors, with or without air conditioning, with or without automatic transmission, with or without power windows, and with or Without a CD player. In how many different ways can a new car be ordered with regard to these actions?
Click here to see answer by addingup(3677)  |
Question 1063202: A person can order a new car with a choice of 12 possible colors, with or without air conditioning, with or without automatic transmission, with or without power windows, and with or Without a CD player. In how many different ways can a new car be ordered with regard to these actions?
Click here to see answer by MathTherapy(10549)  |
Question 1063209: The mean salary of 350 workers at company A is $ 1050 and the standard deviation is $ 150. If we assume that the salaries are normally distributed, compute the probability, a worker has salary more than $ 850
Click here to see answer by Boreal(15235) |
Question 1063236: the table gives the probbability distribution of the number of dvds sold per day at a music store. what is the probability of 5 or more dvds being sold on any given day?
0-4: .1875
5-9:?
10-14:.4375
15-20:.125
Click here to see answer by stanbon(75887) |
Question 1063275: Good day! Please help me in my math homework.
In how many ways can 5 people be seated in a car, two in the front seat and 3 in the rear seat, if only 3 of the 5 can drive and others cannot?
Would really appreciate your help. Thank you!
Click here to see answer by josmiceli(19441) |
Question 1063275: Good day! Please help me in my math homework.
In how many ways can 5 people be seated in a car, two in the front seat and 3 in the rear seat, if only 3 of the 5 can drive and others cannot?
Would really appreciate your help. Thank you!
Click here to see answer by rothauserc(4718) |
Question 1063275: Good day! Please help me in my math homework.
In how many ways can 5 people be seated in a car, two in the front seat and 3 in the rear seat, if only 3 of the 5 can drive and others cannot?
Would really appreciate your help. Thank you!
Click here to see answer by ikleyn(52754) |
Question 1063274: Good day! Please help me in my math homework.
The salaries of employees in a company have a mean of $5,000 and a standard deviation of $1,000. What is the probability that an employee selected at random will have a salary of (a) more than $5,000, (b) between $5,000 and $6,000, and (c) more than $7,000?
Would really appreciate your help. Thank you!
Click here to see answer by Boreal(15235) |
Question 1063274: Good day! Please help me in my math homework.
The salaries of employees in a company have a mean of $5,000 and a standard deviation of $1,000. What is the probability that an employee selected at random will have a salary of (a) more than $5,000, (b) between $5,000 and $6,000, and (c) more than $7,000?
Would really appreciate your help. Thank you!
Click here to see answer by rothauserc(4718) |
Question 1063029: Grip and Leg Strength. In the paper, “Sex Differences in Static Strength and Fatigability in Three Different Muscle Groups” (Research Quarterly for Exercise and Sport, Vol. 61(3), pp. 238–242), J. Misner et al. published results of a study on grip and leg strength of males and females.
The following data, in newtons, is based on their measurements of right-leg strength.
Male
2632
1796
2256
2235
2298
1917
1105
1926
2644
1569
3129
2167
1977
Female
1344
1351
1369
2479
1573
1665
1791
1866
1544
2359
1694
2799
1868
2098
part A Question.Preliminary data analyses indicate that you can reasonably presume leg strength is normally distributed for both males and females and that the standard deviations of leg strength are approximately equal.
a. At the 5% significance level, do the data provide sufficient evidence to conclude that mean right-leg strength of males exceeds that of females? (Note: . x1 = 2127, s1 = 513,. x2 = 1843, and s2 = 446.)
b. Estimate the P-value of the hypothesis test, and use that estimate and table 9.12
P-value
P >0.10
0.05
0.01
P ≤ 0.01
Evidence against H0
Weak or none
Moderate
Strong
Very strong
assess the strength of the evidence against the null hypothesis.
part B Question.Determine a 90% confidence interval for the difference between the mean right-leg strengths of males and females. Interpret your result.
Click here to see answer by ikleyn(52754) |
Question 1063270: The mean salary of 350 workers at company A is $1050 and the standard deviation is $150. If we assume that the salaries are normally distributed, compute a probability,
1). a worker has salary less than $900
2). a worker has salary between $800 and $1300
3). that exist exactly 102 workers with salary more than $900
Click here to see answer by Boreal(15235) |
Question 1063307: For the following data set
114 112 123 111 109 103
112 113 107 129 108 126
131 129 126 115 123 108
131 115 134 133 132 114
104 127 128 137 114 139
128 117 121 110 141 121
138 140 122 130 115 102
Table 1: Data set Exercise 1
Construct a
1. 90% confidence interval for the population mean;
2. 95% confidence interval for the population mean;
3. 99% confidence interval for the population mean;
4. What assumption do you need to make about the population of interest to construct the confidence
intervals ?
Click here to see answer by Boreal(15235) |
Question 1063310: The lifespan in hours of a mass produced light optical device is normally distributed and has a mean of 1500 with a standard deviation of 350. What is the probability of one taken at random having a lifespan between 1500 and 1850 hours. If the guarantee is for 1000 hours, what percentage will fail to meet the guarantee?
What lifespan should be guaranteed if 95% must obtained?
Tks for your answer!!!!!!!!!!!!!!!
Click here to see answer by stanbon(75887) |
Question 1063271: A five-aside football team is selected at random from 7 men and 4 women.
i) Find the probability it comprises 3 men and 2 women.
ii) Given the first person selected is a man, find the probability that the team includes exactly 2 women.
iii) Given the last person selected is a man, find the probability that the first person selected is a woman.
Click here to see answer by stanbon(75887) |
Question 1063314: A pair of dice is rolled. What are the odds of rolling a sum of 5?
The odds of rolling a sum of 5 are [ ] to [ ].
I have tried this problem a few times and can't seem to get it. I know there are 6 numbers in a dice and the odds of getting a sum of 5 would be 3 to 6. I feel like I'm wrong. HELP PLEASE.
Click here to see answer by josmiceli(19441) |
Question 1063365: If a machine functions properly 95% of the time, what is the probability it will function properly 2 days in a row? and 10 days in a row?
I calculated .9025 for 2 days consecutively and .5987 for 10 days consecutively. Is that correct?
Click here to see answer by ikleyn(52754) |
Question 1063368: Two boxes, A and B contain equal numbers of balls (black and white). A sample of
100 balls selected with replacement from each of the boxes revealed 52 white balls form box A and 44
white balls from box B.
1. Test the hypothesis that the two boxes have equal ratio of white balls, using a significance level of 0.05
2. Test the hypothesis that box A has greater ratio of white balls than box B, using a significance level of
0.05
Click here to see answer by Boreal(15235) |
Question 1063415: Suppose a student is selected at random from 80 students where 30 are taking mathematics, 20 are taking chemistry,and 10 are taking mathematics and chemistry. Find the probability that the student is taking mathematics or chemistry.
Click here to see answer by math_helper(2461) |
Question 1063429: 5. One Thousand skilled workers were given an examination to determine how much they know about their job. If the scores are normally distributed and the score of one worker measured in z score is 0.8, how many of the workers who took the examination scored higher than or equal to this particular worker?
Click here to see answer by stanbon(75887) |
Question 1063428: 4. Assuming that the heights (X) of college male students is normally distributed with a mean of 69 inches and standard deviation of 3 inches, calculate the probability that
a. x is less than or equal to 65 inches
b. x is greater than or equal to 65 inches but less than or equal to 70 inches
Click here to see answer by stanbon(75887) |
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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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