Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 863754: Four mangers and five sales representatives eat lunch together. Each one place business card in a hat and two are drawn to determine who pays for lunch. Find the probability that both cards drawn are those of the mangers.
Click here to see answer by ewatrrr(24785)   |
Question 863773: A farmer produces and sells 5 kg bags of potatoes. To test that he is not selling the bags under weight the local consumer rights group bought 20 bags and weighed them. They discovered that the mean weight of the bags they bought was 4.85 kg with a standard deviation of 0.2 kg. According to the t test what level of significance can be given to the statement the bags of potatoes weigh less than 5kg ?
Click here to see answer by ewatrrr(24785) |
Question 863812: If the function h(x) represents the number of full hours that it takes a person to assemble x sets of tires in a factory, which would be an appropriate domain for the function?
1) the set of real numbers
2the set of negative integers
3)the set of integers
4)the set of non-negative integers
Click here to see answer by ewatrrr(24785) |
Question 863820: Women have pulse rates that are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute.
a. Dr. Lopez sees exactly 25 female patients each day. Find the probability the 25 randomly selected women have a mean pulse rate between 70 bpm and 85 bpm.
b. Dr. Lopez sees exactly 25 female patients each day. Find the probability the 25 randomly selected women have a mean pulse rate between less than 70 bpm.
Click here to see answer by ewatrrr(24785) |
Question 863834: Suppose a computer chip manufacturer knows from experience that in an average production run of 5000 circuit boards, 100 will be defective. How many defective circuit boards can be expected in a run of 27,000 circuit boards?
Click here to see answer by ewatrrr(24785) |
Question 863821: Adult females have an overhead reach distance: mean of 200.5 cm with standard deviation of 8.6 cm. Assume the reach distances are normally distributed.
a. If 1 adult female is randomly selected, find the probability that her overhead reach is less than 222.7 cm.
b. If 49 females are randomly selected, find the probability that they have a mean overhead reach less than 207 cm.
Click here to see answer by ewatrrr(24785) |
Question 864029: it is known that a patient will respond to treatment of a particular disease with a probability of 0.9 fifteen patients are treated independently for this disease. what is the probability that at most 2 patients will not respond to the treatment?
Click here to see answer by morenike(2) |
Question 864069: The Bureau of Labor Statistics’ American Time Use Survey showed that the amount of time spent using a computer for leisure varied greatly by age. Individuals age 75 and over averaged .40 hour (24 minutes) per day using a computer for leisure. Individuals ages 15 to 19 spend 1.3 hour per day using a computer for leisure. If these times follow an exponential distribution, find the proportion of each group that spends:
(a)Less than 21 minutes per day using a computer for leisure. (Round your answers to 4 decimal
(b)More than two hours. (Round your answers to 4 decimal places.)
(c)Between 42 minutes and 126 minutes using a computer for leisure. (Round your answers to 4 decimal places.)
(d)Find the 28th percentile. Seventy two percent spend more than what amount of time? (Round your answers to 2 decimal places.)
Click here to see answer by ewatrrr(24785) |
Question 864078: Use the following n=10 sample data to construct a 90% confidence interval of the population mean μ. Assume a simple random sample was taken the population SD is unknown, and the population is normally distributed.
86 135 250 357 447 553 646 769 830 1135
Click here to see answer by ewatrrr(24785) |
Question 864075: A marketing manager makes the statement that the long-run probability that a
customer would prefer the deluxe model to the standard model is 30%.
1.2.1 What is the probability that exactly 3 in a random sample of 10 customers will
prefer the deluxe model? (3)
1.2.2 What is the probability that more than 2 in a random sample of 10 customers
will refer the standard model? (3)
Click here to see answer by ewatrrr(24785) |
Question 864073: Assume a simple random sample of 500 Down Syndrome patients has been taken regarding their improvement after taking a certain drug. Assume the population is normally distributed, the sample mean is 15, and the population SD is 10. Construct a 98% confidence interval to estimate the population mean μ.
Click here to see answer by ewatrrr(24785) |
Question 864134: one number is drawn from a box containing the counting numbers 1 through 100. Let E and F be defined as followed:
E: selecting a number that is a multiple of 5
F: selecting a number that is a multiple of 7
Are E and F mutually exclusive events? Why or why not?
Click here to see answer by stanbon(75887) |
Question 864037: The organisers of a TV game show think that the probability of any contestant winning a prize will be 0.7, and that the success or failure of any contestant will be independent of the success or failure of other contestants. Six contestants take part on each episode of the show.
The show runs for 30 episodes altogether. Find the probability that the total number of successful contestants will be more than 120.
Can someone help me with this one?
Click here to see answer by stanbon(75887) |
Question 864262: Binomial Distribution:
If anyone can answer this question, thank you so much!
A bag contains 5 balls of which 2 are red. A ball is selected at a random. It's color noted and then replaced in the bag. This process is carried out 50 times. Find:
(a) the mean number of red balls selected.
answer: 20
(b) the standard deviation of the number of red balls selected.
answer: 3.4641
Thanks once again!
Click here to see answer by ewatrrr(24785) |
Question 734607: The average number of mosquitoes in a stagnant pond is 70 per square meter with a standard deviation of 8. If 36 square meters are chosen at random for a mosquito count, find the probability that the average of those counts is more than 70.9 mosquitoes per square meter. Assume that the variable is normally distributed, and place your final answer in decimal form.
Click here to see answer by Mmacri10(1) |
Question 864316: People end up tossing 12% of what they buy at the grocery store (Reader's Digest, March 2009). Assume this is the true population proportion and that you plan to take a sample survey of 540 grocery shoppers to further investigate their behavior.
a) Show the sampling distribution of (p), the proportion of groceries thrown out by your sample respondents (to 4 decimals)?
b) What is the probability that your survey will provide a sample proportion within ±.015 of the population proportion (to 4 decimals)?
Click here to see answer by stanbon(75887) |
Question 864299: Suppose that a certain population 7% of people are color blind. A researcher selects people at random from this population. Whats the probability that the first color blind person will be found among the first 6 people checked.
Click here to see answer by stanbon(75887) |
Question 864276: hi I need help with a homework problem: if there is 12 cards and 5 are green and 7 are purple what is the P{green,purple] in either a fraction or a whole number and if its a fraction it needs to be simplified.
Click here to see answer by stanbon(75887) |
Question 864514: A researcher of a specific species of birds knows from experience that 70% of such birds find hidden sources of food immediately after being released. If the researcher releases 15 such birds, calculate the probability that exactly 5 of them find hidden sources of food.
A probability < .001
B .001 ≤ probability < .004
C .004 ≤ probability < .007
D probability ≥ .008
Click here to see answer by ewatrrr(24785) |
Question 38180: In a survey,80 computer science teachers were asked which of the three programming languages, Pascal, Fortran and C,have they used to introduce programming to students. Forty (40) teachers said they have used Pascal,35 said they have used Fortran, 25 said they have used C,20 said they have used both Pascal and Fortran,17 said they have used Pascal and C, 5 said they have used Fortran and C,and 3 said they have used all the three languages.
a)How many teachers have used Fortran alone?
b)How many teachers have used both Pascal and C?
c)How many teachers have used Fortran, but not C?
d)How many used none of the three languages?
Click here to see answer by richwmiller(17219)  |
Question 38180: In a survey,80 computer science teachers were asked which of the three programming languages, Pascal, Fortran and C,have they used to introduce programming to students. Forty (40) teachers said they have used Pascal,35 said they have used Fortran, 25 said they have used C,20 said they have used both Pascal and Fortran,17 said they have used Pascal and C, 5 said they have used Fortran and C,and 3 said they have used all the three languages.
a)How many teachers have used Fortran alone?
b)How many teachers have used both Pascal and C?
c)How many teachers have used Fortran, but not C?
d)How many used none of the three languages?
Click here to see answer by MathTherapy(10549)  |
Question 864499: The mean score for all indviduals who took the Law School Admission Test (LSAT) 10 2010 was 155 and the standard deviation was 7.
What is the z score for a person, who received an LSAT socre of 167"?
a. +1.71
b. +1.64
c. +1.74
d. -1.71
What is the raw score for a person with a z score of -0.86?
a. 164
b. 146
c. 149
d. 161
Click here to see answer by jim_thompson5910(35256) |
Question 864712: Assume a simple random sample is taken, the conditions for a binomial distribution are satisfied and the sample proportions can be approximated by a normal distribution. From a sample of 200 fish in a particular river, the number of breeders is 20, Use a 95% confidence interval to construct a confidence interval estimate of the population proportion.
A. (.041,.159)
B. (.058,.142)
C. (.065,.135)
D. (.079,.121)
Click here to see answer by ewatrrr(24785) |
Question 864697: It is know that the population mean for the Full Scale IQ of the WAIS is 100 with a standard deviation of 15. A researcher assesses a sample of 200 adults and find that they have a mean Full Scale IQ of 102. The point of estimate of the mean for this group is _________ and the 99% confidence interval for this group is_________.
A. 100; (97.27; 102.73)
B. 102 ;(97.27 ; 102.73)
C. 100 ; (99.27 ; 104.73)
D. 102; (99.27 ; 104.73)
It is know that the population mean for the Full Scale IQ of the WAIS is 100 with a standard deviation of 15. A researcher assesses a sample of 200 adults and find that they have a mean Full Scale IQ of 102. The point of estimate of the mean for this group is _________ and the 90% confidence interval for this group is_________.
A. 100 ; (100.26 ; 103.74)
B. 102 ; (100.26 ; 103.74)
C. 100 ; ( 98.26; 101.74)
D. 102 ; (98.26 ; 101.74)
Click here to see answer by ewatrrr(24785) |
Question 864798: I need help by next friday. thanks
#7
Find the median for the following data.
Round your answer to 2 decimal places as needed.
49
2
94
54
83
96
32
75
27
26
29
14
4
41
Median =
Points possible: 1
This is attempt 1 of 3.
#11
Find the standard deviation for the following data.
Round your answer to 2 decimal places as needed
56
81
93
29
30
28
34
35
17
83
standard deviation =
Points possible: 1
This is attempt 1 of 3.
#12
Find the standard deviation for the following data.
Round your answer to 2 decimal places as needed
80
75
25
63
99
29
15
67
3
82
12
42
33
73
standard deviation =
Points possible: 1
This is attempt 1 of 3.
#13
The grades for 30 students on the most recent exam are given in the data table below:
Round your answer to 2 decimal places as needed
60
60
60
90
90
60
70
80
60
80
60
80
80
60
70
80
60
60
60
90
60
70
90
80
90
80
60
60
70
90
What is the mean score for the exam?
What is the median score for the exam?
What is the standard deviation for the exam?
Points possible: 6
This is attempt 1 of 3.
#14
60 students were surveyed about how many nights in a week they work on homework problems in their MAT142 class. The results of the survey are shown below:
Round your answer to 2 decimal places as needed
5
3
6
2
3
2
7
1
4
6
4
2
4
5
6
6
1
3
2
7
3
1
1
5
6
3
7
5
7
6
5
5
2
4
6
4
6
5
5
3
4
1
4
1
6
3
6
6
5
1
6
1
1
6
5
7
2
4
5
1
What is the mean number of days of homework?
What is the median number of days of homework?
What is the standard deviation for days of homework?
Points possible: 6
This is attempt 1 of 3.
For 13 and 14 i know the mean and kinda need help on the median and the last one. but i know the mean. thanks
Click here to see answer by richard1234(7193)  |
Question 864800: A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who will watch the movie, what is the probability that there are at least 3 girls in the group that watch the movie?
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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