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

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 232544: Find the probability of getting a prime number in each case.
(a) a number is chosen from the set (1,2,3,4,....12)
(b) Two dice are rolled and the sum is observed
Click here to see answer by stanbon(75887)

Question 232598: Find the probability of getting a prime number when two dice are rolled and the sum is observed.
Click here to see answer by solver91311(24713)

Question 232557: If you are dealt a 5-card hand (this implies without replacement) from a standard 52-card deck, find the probability of getting a black flush or two pairs. Give answers to six decimal points.
Click here to see answer by stanbon(75887)

Question 232647: suppose you flip a oin 3 times what is the probability that at least once the coin comes up head
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Question 232646: how many ways can 2 representatives be chosen from a class of 5 males and 7 females if there must be 1 representative of each gender
Click here to see answer by checkley77(12844)

Question 232716: 4. A sample size of 45 is used to test Ho:u > 50 VS. Ha:u < 50

Given that the sample mean is 50.5 and s = 5.0, answer the following questions:
(A) What is the computed value of the test statistic?

(B) What distribution does the test statistic have when the null hypothesis is true?

(C) Is the alternative hypothesis one-tailed or two-tailed?

(D) What is the p-value?

Click here to see answer by stanbon(75887)

Question 232720: Given a level of confidence of 95% and a population standard deviation of 7, what other information is necessary:
(A) To find the Maximum Error of Estimate (E)?

(B) To find the sample size (n)?

(C) Given the above confidence level and population standard deviation, find the Maximum Error of Estimate (E) if n = 30. Show all your calculations. Show all work.

(D) For this same sample of n = 30, what is the width of the confidence interval around the population mean? Show all work.

(E) Given this same confidence level and standard deviation, find n if E = 2.8. (Always round to the nearest whole person.) Show all work.

Click here to see answer by stanbon(75887)

Question 232737: Order matters; how many ways can 6 items be taken from a group of 20?
Click here to see answer by edjones(8007)

Question 232876: Suppose household incomes in Indiana Co have a mean of $48,000 and a standard deviation of $18,000. What is the probability that a random sample of 100 households with a mean income below $45,000?

Click here to see answer by stanbon(75887)

Question 232881: A spinner has 1 through 21.What is the probability that the spinner will stop on an even number or a multiple of 3?
Click here to see answer by stanbon(75887)

Question 233019: Six numbers are chosen at random from the whole numbers between 1 and 16 inclusive, without replacement.
What is the probability that all the numbers are even?
What is the probability that all the numbers are odd?
What is the probability that at least one of the numbers is odd?
Click here to see answer by edjones(8007)

Question 233064: The manager of a driving school claims that the mean time taken to learn how to drive a car is 8 hours or less for all new drivers. A sample of 16 new drivers showed that the mean time taken by them to learn how to drive the car is 9.5 hours with a standard deviation of 1.5 hours. Test the manager�s claim at the 1% significance level.
a.Select the null and alternate hypothesis.
b.Determine the critical values of the test statistic.
c.Which equation listed below would you use?
Using the statistical calculator or manual calculation what is the observed statistic and what is your decision regarding the null hypothesis
Click here to see answer by stanbon(75887)

Question 233177: Sam bought 1 of 250 tickets selling for $2 in a game with a grand prize of $400. Was $2 a fair price to pay for a ticket to play this game?
Click here to see answer by stanbon(75887)

Question 233173: I submitted this question already and there was no solution to this problem.
Consider the sample data below. 34
21
23
52
34
38
36
49
36
34
20

50
44
36
43
27
45
40
52
39
31
54

20
30
34
50
40
25
26
27
26
21
43

Suppose we wish to test the following hypotheses for the data:

Ho:u < 40
Ho: u > 40

Given the mean and the standard deviation of the data as above:

(A) Compute the appropriate test statistic for testing (show all work).
(B) Determine the critical value for α = 0.05.
(C) Test Ho using the traditional/classical method.
(D) State the decision based on the results of the test.

(E) Had you used the p-value method of hypothesis testing, what would the p-value have been?

Click here to see answer by stanbon(75887)

Question 233172: A researcher claims that the average age of people who buy theatre tickets is 40. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 5. At α = 0.05 is there enough evidence to reject the researcher�s claim? Show all work.
45
38
40
45
35
37
45
43
45
48

44
38
45
44
41
45
50
45
37
39

45
46
35
41
39
41
38
39
39
55

I really need help with this question. I tried all the avenue to solve this problem. Thanks for all your help and support.

Click here to see answer by stanbon(75887)

Question 233269: the probability of getting the sum of 5 when you roll two number cubes is 4/36. how many times should you expect to get a sum of 5 if you roll the cubes each number of times? a.9 b.18 c.27 d.100 d.450
Click here to see answer by edjones(8007)

Question 233399: A fair coin is tossed 5 successive times . what is the probability that at least one head is obtained ?
a) 8/10 b) 9/10 c) 1 d) 31/32 e)none

Click here to see answer by stanbon(75887)

Question 233378: The number of accidents that occur at the intersection
of Pine and Linden streets between 3 p.m. and
6 p.m. on Friday afternoons is 0, 1, 2, or 3, with probabilities
of 0.84, 0.13, 0.02, and 0.01, respectively.
Graph this probability distribution. What is the
expected value for the random variable given the
number of accidents?
Click here to see answer by stanbon(75887)

Question 233473: it is claimed the 75% of drivers wear seatbelts. assuming that this is true, find the probability that out of four randomly selected drivers, none wear seatbelts.
So, is the probability of wearing a seatbelt 0.5 or 0.75?
Click here to see answer by stanbon(75887)

Question 233488: Write a correct null and alternative hypothesis for testing the claim that the mean life of a battery for a cell phone is at least 95 hours.
Click here to see answer by stanbon(75887)

Question 233490: 9.68- A process is supposed to produce aluminum castings with a mean weight of 1.223 kg. The weights follow a normal distribution with known standard deviation 0.084 kg. (a) Set up hypothesesand a two-tailed decision rule to detect quality control violations using the .05 level of significance. (b) From the following sample of 12 castings, what conclusion can you draw?
1.067 1.204 1.047 1.167 1.368 1.251
1.274 1.185 1.261 1.345 1.077 1.335

Click here to see answer by stanbon(75887)

Question 233489: 9.54- Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 level of significance,is the true mean greater than 10? (b) Use Excel to find the right-tail p-value.

Click here to see answer by stanbon(75887)

Question 233454: The test scores of 40 students are summarized in the frequency table below. Find the standard deviation.
Score Students
50-59 12
60-69 8
70-79 10
80-89 5
90-99 5
Ive never done standard deviation on numbers that are ranged, so I dont even know how to set up the problem.

Click here to see answer by stanbon(75887)

Question 233646: 8.46 A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on
a very accurate scale.
The results in grams were 3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477
(a) Construct a 90 percent confidence interval for the true mean weight. (b) What sample size
would be necessary to estimate the true weight with an error of � 0.03 grams with 90 percent confidence?
(c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during
manufacture. (Data are from a project by MBA student Henry Scussel.)

Click here to see answer by stanbon(75887)

Question 233872: The average flight from point A to B takes 40 minutes with a standard deviation of 5 minutes. What is the probability a random sample of 4 flights will take between 38 and 43 minutes?

Click here to see answer by stanbon(75887)

Question 233878: A local manufacturer wants to know how long to guarantee her toasters. A random sample of 16 toasters has an average lifespan of 1,000 hours with a standard deviation of 200 hours. If she doesn't want to replace any more than 10% of the toasters, for how long should she gaurantee her toasters?
Click here to see answer by stanbon(75887)

Question 234009: A man tosses a fair coin times. What is the probability that he gets fewer than heads? Round your answer to four decimal places
Click here to see answer by nyc_function(2741)

Question 233782: If you are constructing a 95% confidence interval using the information: n = 50, = 65.4, s = 2.1 and E = 0.65. What is the middle value of the interval?

Click here to see answer by stanbon(75887)

Question 233780: Write a correct alternative hypothesis that tests the claim that the mean distance a student commutes to campus is no less than 7.5 miles
Click here to see answer by stanbon(75887)

Question 233778: Write a correct null and alternative hypothesis for testing the claim that the mean life of a battery for a cell phone is at least 80 hours.

Click here to see answer by stanbon(75887)

Question 234041: What is the probability of Jonah picking a vowel if he randomly chooses a letter from the word "CAT" ? Express your answer as a common fraction.
Click here to see answer by stanbon(75887)

Question 233773: A study was conducted to estimate the mean amount spent on birthday gifts for a typical family having two children. A sample of 150 was taken, and the mean amount spent was $225. Assuming a standard deviation equal to $50, find the 95% confidence interval for μ, the mean for all such families (show all work).

Click here to see answer by stanbon(75887)

Question 233772: In testing the hypothesis, and , using the p-value approach, a p-value of 0.0668 was obtained. If σ = 9.2, find a sample mean which produced this p-value given that the sample of size n = 45 was randomly selected (show all work).

Click here to see answer by stanbon(75887)

Question 233967: a menu has three choices for salad, six main dishes, and four desserts. how many different meals are available if you select a salad, a main dish, and a dessert?
Click here to see answer by stanbon(75887)

Question 233879: The average lifespan for batteries is 90 hours with a standard deviation of 12 hours. Construct a confidence interval at the 95% confidence level.
Click here to see answer by stanbon(75887)

Question 233963: Question: A die is rolled and a spiner (4 sides) is spun. Find the probability:
P ( an even number and C)
P ( 2 or 5 and B or D)
P ( a number less than 5 and B or D)
One card is drawn from a standard deck of 52 cards. Find each probability
P( Jack or ten)
P(queen or Club)
( (diamond or black)
Click here to see answer by stanbon(75887)

Question 234143: To test the null hypothesis that the average lifetime for a particular brand of bulb is 725 hours versus the alternative that the average lifetime is different from 725 hours, a sample of 90 bulbs is used. If the standard deviation is 75 hours and α is equal to 0.05, what values for will result in rejection of the null hypothesis (show all work).
Thanks for all your help!!
Click here to see answer by stanbon(75887)

Question 234297: i am not exactly sure what im doing here. Do i need a program to take 1000 sample means or is there anyway i can solve this by hand.
thank you

Suppose the number of points scored in basketball games played by a particular college is normally distributed with mean  = 68 and standard deviation  = 12. A random sample of
9 games played by this team are taken.
(a) Name the sampling distribution of . Is it exact or approximate?
(b) What are the mean and standard deviation of ?
(c) What is the probability that:
(i) will exceed 72?
(ii) will fall below 65?
(iii) will lie between 68 and 71?
(iv) will be exactly equal to 70?
(d) Find a numerical value that is larger than 97.5% of all sample means.
Click here to see answer by stanbon(75887)

Question 234358: As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution is?
For a one-tailed test (lower tail), a sample size of 15 at 95% confidence, t =
For a one-tailed test (upper tail), a sample size of 16 at 90% confidence, t =
A two-tailed test is performed at 95% confidence. The p-value is determined to be 0.09. The null hypothesis is
Click here to see answer by stanbon(75887)

Question 234391: Which property is illustrated by the following statement? (46.2 + 25.8) +29.4= (25.8 + 46.2) + 29.4
Evaluate: 2y2(x+y) when x=1 and y=5
Click here to see answer by user_dude2008(1862)

Question 234395: What is the probability that a family with three children will have one girl? two girls?
Click here to see answer by stanbon(75887)

Question 234388: The probability of rain on Monday is 0.1. The probability of rain on Tuesday is 0.8. What is the probability of rain on both Monday and Tuesday?
Click here to see answer by stanbon(75887)

Question 234469: For a standard normal distribution, find:
P(z > c) = 0.2464
and P(z < c) = 0.9798
Find c.

Click here to see answer by Edwin McCravy(20054)

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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