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

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Question 978857: (a)
(b)

Click here to see answer by richwmiller(17219) About Me 

Question 978900: Let W be a random variable given the number of heads minus the number of tails in three tosses of a coin. Assuming the coin is biased so that a head is likely to occur as a tail. Find the probability distribution of W.
Click here to see answer by Fombitz(32388) About Me 

Question 978800: This is a hypothesis test question.
a fishing company claims the mean length of fish that it stocks is 8 inches. in a random sample of 50 fish, the sample mean was 7.5 inches with a standard deviation of 0.3 inches. Does this show statistically significant evidence that the mean length of fish is less than that reported by the fishery company?

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Question 978883: In order to compare the means of two populations, independent random sample of 400 observations are selected from each population, with the results found in the table to the right. Complete parts a trough e.
Click here to see answer by Fombitz(32388) About Me 

Question 978917: Recent study of home technologies reported the number of hours of personal computer usage per week for a sample of 60 persons.Excluded from the study were people who worked out of their home and used the computer as a part of their work.
Click here to see answer by Fombitz(32388) About Me 

Question 978927: Five women are playing poker. After being dealt five cards each, the women are holding a total of eight diamonds and six spades.
1. What is the probability that the next card dealt will be a diamond?
2. What is the probability that the next two cards dealt will be spades?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 978931: The probability of getting a straight in five card draw is 0.003925. The odds in favor of getting a flush are 1:508.
1. What are the odds of getting a straight?
2. What is the probability of getting a flush?

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

Question 978853: Jimmie grades test for 5/7 of one class in an hour and he has five classes how long would it take him to grade all the test
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 978976: 31% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) at most two. If convenient use technology to find the probabilities.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 978981: 51% of men consider themselves professional baseball fans. You randomly pick 10 men and ask each is he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is
(a) exactly 5
(b) at least 6
(c) less than 4

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

Question 978974: if a car factory checks 360 cars and 8 of them have defects how many will have defects out of 1260
Click here to see answer by ikleyn(52777) About Me 

Question 979077: Suppose that the scores of architects on a particular creativity test are normally distributed. Using a normal curve table, what percentage of architects have Z scores:
Above .10?
Below .10?
Above .20?
Below .20?
Above 1.10?
Below 1.10?
Above -.10?
Below -.10?

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

Question 979122: The number of sick days due to cold and flu last year was recorded by a sample of 15 adults. The data are
5; 7; 0; 3; 15; 6; 5; 9; 3; 8; 10; 5; 2; 0; 12:
a) Compute the mean, median and mode.
b) Describe what you have learned from the three statistics calculated in part (a).

Click here to see answer by Boreal(15235) About Me 
Question 979122: The number of sick days due to cold and flu last year was recorded by a sample of 15 adults. The data are
5; 7; 0; 3; 15; 6; 5; 9; 3; 8; 10; 5; 2; 0; 12:
a) Compute the mean, median and mode.
b) Describe what you have learned from the three statistics calculated in part (a).

Click here to see answer by rfer(16322) About Me 

Question 979098: 1.)
Click here to see answer by richwmiller(17219) About Me 

Question 979140: Three people put their money together to buy lottery tickets. The first person put in $15, the second person put in $32, and the third person put in $43. One of the tickets was a winning ticket. If the winning ticket paid $4.5 million, what was the first person's share of the winnings?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 979107: John conducted his study to measure self-esteem among victims of domestic violence before and after they complete an 8-week program for abuse victims with 10 individuals. He calculated t = 1.9 from his data. He had a directional hypothesis (i.e., self-esteem would be higher after attending the program). Also, Mark replicated John’s experiment in every way except he used 100 women in his study. He also calculated t = 1.9 from his data. He also had the same directional hypothesis.
Click here to see answer by solver91311(24713) About Me 

Question 979220: Find the z-score for the standard normal distribution where:
P(z< -a) = 0.2451

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

Question 979310: A student takes a 10-question, multiple-choice exam with three choices for each question and guesses on each question. Find the probability of guessing exactly 2 out of 10 correctly.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 979358: ~~~~~~~1. The graph shows how 10,000 is invested. After 10% of the amount that is invested in bonds is reinvested in CD's , how much money is invested in CD's?
Investment Portfolio
Bonds -- 50%
Stocks -- 25%
Mutual Funds -- 15%
CD --10%
~~~~~~~9. Use the table below. Half of the students that made an A failed the last test and now have a B. What percent of the class now has a B average in math class?
Average in Math---Number of Students
A---8
B---12
C---5
D---4
E---3
My answer for the first one was 15%. For the second question, 37.5%. They were both marked wrong. Please help explain. Thank you!

Click here to see answer by Eviecker(3) About Me 

Question 979393: How many ways are there to choose one card from a standard 52-card deck without choosing any aces ?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 979411: The probability of a plant surviving in Kerry’s garden is 0.7. If she plants 19 new plants this year,
(a) what is the probability that at least 10 of them survive?

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

Question 979424: Anna forgot the code of a 3-digit lock on
her case (all digits ranging from 0 to 9).
She remembers that the first digit was
less than 5, the second digit was an odd
number, and the third one was either 7 or
8. There were no identical digits in the
code
How many different combinations could
possibly open her lock?

Click here to see answer by anand429(138) About Me 

Question 979303: In a batch of 100 cell phones, there are, on average, 9 defective ones. If a random sample of 30 is selected, find the probability of 3 defective ones.
Click here to see answer by Fombitz(32388) About Me 

Question 979383: An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C, with probabilities of occurring equal to 0.3, 0.3, and 0.4, respectively. The outcomes of the second trial are E and F, with probabilities of occurring equal to 0.3 and 0.7. Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below.
Click here to see answer by Fombitz(32388) About Me 

Question 979175: if a card is randomly selected from a deck of card,find the probability that it is (a) a club or a diamond (b) an ace or a spead

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

Question 979468: A class consists of 82 women and 64 men. If a student is randomly selected, what is the probability that the student is a woman?
Click here to see answer by FrankM(1040) About Me 

Question 979282: f(x)= 2(1/3)^x for x = 1,2,3. use it to determine the mean and variance of x
Click here to see answer by Fombitz(32388) About Me 

Question 979511: Quartiles & Box plots:
Insert your student number into column A. Multiply column A by column B and place the result in column C. (my student number is 2014120)
A B C
* 1 =
* 2 =
* 3 =
* 4 =
* 5 =
* 6 =
* 7 =
Column C is now Data Set 1.
Tasks:
C.1
Produce a box plot for Data Set 1.
C.2
Calculate the Interquartile Range for Data Set 1.




Click here to see answer by jim_thompson5910(35256) About Me 

Question 979518: If Mr. Boyle played WinOne lottery 100 times and won twice, what were his net winnings per turn?
Click here to see answer by solver91311(24713) About Me 

Question 979508: A survey was conducted on a group of students asking their favourite colour of the rainbow. Your student number will constitute the frequency.
Note: my student number is 2014120
red
orange
yellow
green
blue
indigo
violet

Tasks:
B.1
Produce a bar chart for the survey.
B.2
Produce a Pie Chart for the survey.

Click here to see answer by jim_thompson5910(35256) About Me 
Question 979508: A survey was conducted on a group of students asking their favourite colour of the rainbow. Your student number will constitute the frequency.
Note: my student number is 2014120
red
orange
yellow
green
blue
indigo
violet

Tasks:
B.1
Produce a bar chart for the survey.
B.2
Produce a Pie Chart for the survey.

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

Question 979522: in a population of college scholarship recipients, it is known that the average amount received is $18900 with a standard deviation of $4600 (this distribution is normal)
What proportion of students receive $28,000 or more annually ?

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

Question 979534: The probability that a radish seed will germinate is 0.7. A gardener pLants seeds in batches of 20. Find the standard deviation for the number of seeds germinating in each batch.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 979536: A test consists of 10 true/false questions. To pass the test a student must answer at least 9 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?

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

Question 979356: X is a normally normally distributed variable with mean μ = 30 and standard deviation σ = 4.
Determine P[30 < x, 35] to 4 decimal places.

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

Question 979538: Find the standard deviation for the given probability distribution.
x P(x)
0 0.19
1 0.05
2 0.30
3 0.36
4 0.10

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

Question 979579: derive the OLS estimators for Yt = β1x1t + β2x2t + ut
Click here to see answer by Fombitz(32388) About Me 

Question 979608: If you draw a queen from a regular deck of cards (without replacement), what is the probability that the next card you draw will be an ace?
Click here to see answer by Boreal(15235) About Me 

Question 979607: What is the probability that a student in a college of 800 students is both a math major and a computer science major (assuming these events are independent) if there are 85 math majors and 125 computer science majors?
Click here to see answer by 428225(90) About Me 

Question 979604: You go to a carnival and a sideshow performer wants to bet you $100 that he can guess your exact weight just from knowing your height. It turns out that there is the following relationship between height and weight.

Height (in)
60.0
62.0
63.0
66.5
73.5
84.0
Weight (lbs)
99
107
111
125
153
195
Should you accept the performers bet? Explain.

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

Question 979659: I am trying to figure this out for inferential statistics (I do not have a 'deviation" point so the formulas we have used do not seem to apply). It was in my last exam I said true and got .5 a friend answered false and got .5 too. No explanation, I think our instructor does not know the answer, because it stumped some of the tutors too!!
true or false... if its false why?
The mean for a sample n=16 scores has an expected value of 50. This sample was selected from a population with a mean of mu=50.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 979668: A multiple-choice test has 4 questions. For a subject making random guesses for each answer, the probabilities for the number of correct responses are given in the table. Assume that a subject makes random guesses for each question
x P(x)
0 0.4096
1 0.4096
2 0.1536
3 0.0256
4 0.0016
determine the probability of getting all correct answers (Round to 4 decimal places if necessary).

Click here to see answer by jim_thompson5910(35256) About Me 

Question 979702:
If 0 and 1 are the only possible values of the random variable x, and if P(0) = P(1) = 0.8, this would be considered a probability distribution by the formal definition.
True
or
False

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

Question 979695: Please help me on this
(1) Out of 1000 cars, 50 develop mechanical faults within 3 months oF PURCHASE. WHAT IS THE probability of buying a car which will not develop a mechanical fault within three months?

Click here to see answer by Fombitz(32388) 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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