Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1169775: An experiment is performed where a 4-sided die is rolled and then a 3-color spinner is spun. The possible outcomes for each event are 1, 2, 3, and 4 for the 4-sided die and red (R), blue (B), and yellow (Y) for the 3-color spinner. Identify the sample space for this experiment.
Click here to see answer by Boreal(15235)   |
Question 1169717: 1)Suppose that thepopulation variance of the amount of cooldrink supplied by avending machine is known to be 115𝑚𝑙2
i)The machine was activated 61times, and the mean amount of cooldrink supplied on each occasion was 𝑋̅. If the upper confidence limit for a 99% confidence level is 188.20. What is the value of the sample mean 𝑋̅?
ii)What sample size is requiredif the estimateis requiredto be within 1𝑚𝑙2of the true value with probability 0.95?
Click here to see answer by Boreal(15235) |
Question 1169017: The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2928 and standard deviation 571. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible.
a. What is the distribution of X?
b. Find the probability that the customer consumes less than 2772 calories.
c. What proportion of the customers consume over 3124 calories?
d. The Piggy award will given out to the 1% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? calories. (Round to the nearest calorie)
Click here to see answer by Boreal(15235) |
Question 1169418: Out of 800 families having 4 children with the assumption that equal probabilities for
boys and girls, how many families would be expected to have (i). 2 boys and 2 girls, (ii).
at least 1 boy, (iii). at mot 2 girls and (iv). children of both sexes.
Click here to see answer by greenestamps(13198)  |
Question 1169815: Suppose the probability of an IRS audit is 4.8 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.
(a) What are the odds that such a taxpayer will be audited? (Round your answers to the nearest whole number.)
Odds that a taxpayer will be audited 1 TO______.
(b) What are the odds against such a taxpayer being audited? (Round your answers to the nearest whole number.)
Odds against a taxpayer being audited ____TO 1
Click here to see answer by greenestamps(13198) |
Question 1169804: Q-2: [5+5+5+5 Marks4] A six person committee composed of Ali, Ahmed, Adnan, , Omer, Fahed, and Adam is to select a chairperson, secretary, and treasurer.
a) In how many ways can be this done?
b) In how many ways can be this done if either Ali or Ahmed must be chairperson?
c) In how many ways can be this done if Adnan must hold one of the offices?
d) In how many ways can be this done if both Fahed and Adam must hold office?
Click here to see answer by Boreal(15235) |
Question 1169804: Q-2: [5+5+5+5 Marks4] A six person committee composed of Ali, Ahmed, Adnan, , Omer, Fahed, and Adam is to select a chairperson, secretary, and treasurer.
a) In how many ways can be this done?
b) In how many ways can be this done if either Ali or Ahmed must be chairperson?
c) In how many ways can be this done if Adnan must hold one of the offices?
d) In how many ways can be this done if both Fahed and Adam must hold office?
Click here to see answer by Alan3354(69443)  |
Question 1169805: Q-4: [7+3+5+5Marks] A manufacturer has 3 machines〖 B〗_1,B_2 and B_3, make 35%, 40% and 25%, respectively, of the products. It is known from experience that 2%, 3% and 1% of the products made by each machine respectively are defective. If a finished product is randomly selected:
A-What is the probability that it is defective?
B-What is the probability that it is not defective?
C-If the product is defective, what is the probability it was made by machineB_3?
D-If the product is not defective, what is the probability that it was made by machineB_1?
Click here to see answer by Boreal(15235) |
Question 1169841: Suppose a study reports that the average price for a gallon of self-serve regular unleaded gasoline is $3.16. You believe that the figure is higher in your area of the country. You decide to test this claim for your area of the United States by randomly calling gasoline stations. Your random survey of 25 stations produces the following prices (all in dollars). Assume gasoline prices for a region are normally distributed.
Did the data you obtained provide enough evidence to reject the claim? Use a 1% level of significance.
Make sure you clearly state both the null and the alternative hypotheses in full sentences. Following your calculations, clearly state the conclusion in the same manner (do not simply say “accept/reject null”) and explain how you arrived at this conclusion (based on which metrics).
3.27
3.3
3.16
3.15
3.11
3.05
3.54
3.25
3.05
3.11
3.13
3.15
3.27
3.14
3.14
3.2
3.3
3.09
3.05
3.07
3.37
3.34
3.35
3.35
3.1
Question 5
Where do CFOs get their money news? According to Robert Half International, 47% get their money news from newspapers, 15% get it from communication/colleagues, 12% get it from television, 11% from the Internet, 9% from magazines, 5% from radio, and 1% do not know. Suppose a researcher wants to test these results. She randomly samples 76 CFOs and finds that 40 of them get their money news from newspapers. Does the test show enough evidence to reject the findings of Robert Half International? Use a = .05.
Make sure you clearly state both the null and the alternative hypotheses in full sentences. Following your calculations, clearly state the conclusion in the same manner (do not simply say “accept/reject null”) and explain how you arrived at this conclusion (based on which metrics).
Question 6
To answer this question, use the Data Analysis Toolpack in Excel and select “t-Test: Two-Sample Assuming Equal Variances” from the list of available tools. Conduct a hypothesis test using this tool. Explain your answer (how you decided if men spend more or not) and include the output table.
Some studies have shown that in the United States, men spend more than women buying gifts and cards on Valentine’s Day. Suppose a researcher wants to test this hypothesis by randomly sampling men and women with comparable demographic characteristics from various large cities across the United States to be in a study. Each study participant is asked to keep a log beginning 1 month before Valentine’s Day and record all purchases made for Valentine’s Day during that 1-month
period. The resulting data are shown below. Use these data and a 1% level of significance to test to determine if, on average, men actually do spend significantly more than women on Valentine’s Day. Assume that such spending is normally distributed in the population and that the population variances are equal.
Make sure you clearly state both the null and the alternative hypotheses in full sentences. Include the output table; then, clearly state the conclusion in the same manner (do not simply say “accept/reject null”) and explain how you arrived at this conclusion (based on which metrics).
Men Women
107.48 125.98
143.61 59.32
90.19 96.35
125.53 80.62
70.79 77.6
83 84.34
129.63 75.21
154.22 68.48
93.8 65.84
111.25 126.11
78.6 82.54
89.35 123.5
Click here to see answer by ikleyn(52776)  |
Question 1169837: En una investigación sobre el proceso de venta de un determinado producto fabricado
en varios establecimientos, se requiere el tamaño de la muestra con una confianza del
95%. Se realiza una investigación preliminar, obteniendo los siguientes resultados:
media = $4.800 unidad; desviación típica $225. Con los anteriores datos, calcule el
tamaño muestral, si se considera un error del 1% y E=% (X)
Click here to see answer by Theo(13342)  |
Question 1169122: Height is normally distributed with a mean of 68 inches and a standard deviation of 5 inches.
1. What is the probability of selecting someone who is 70 inches or taller?
2. What is the probability of selecting someone who is 64 inches or shorter?
3. What is the probability of selecting someone who is 68 inches or taller?
Click here to see answer by Boreal(15235) |
Question 1169916: There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can the 3-Senator committee be formed such that no two Senators are from the same state?
Click here to see answer by ikleyn(52776) |
Question 1169916: There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can the 3-Senator committee be formed such that no two Senators are from the same state?
Click here to see answer by math_tutor2020(3816) |
Question 1169928: An intercontinental Ballistic Missile has 10000 parts. The probability that does not fail during a flight 0.99995, and parts work independently of one another. If any part does not work, the flight is a failure. What is the probability of successful flight? Answer=0.60653(I don't Know If its correct Answer)
Click here to see answer by Theo(13342) |
Question 1169948: A particular influenza vaccine has been found to be 95 percent effective in providing immunity. In a random sample of five vaccinated people who has been exposed to this strain of influenza, what is the probability that none of the five will come down with the disease?
Click here to see answer by math_helper(2461)  |
Question 1169948: A particular influenza vaccine has been found to be 95 percent effective in providing immunity. In a random sample of five vaccinated people who has been exposed to this strain of influenza, what is the probability that none of the five will come down with the disease?
Click here to see answer by ikleyn(52776) |
Question 1169840:
A Travel Weekly International Air Transport Association survey asked business travelers about the purpose for their most recent business trip. 19% responded that it was for an internal company visit. Suppose 950 business travelers are randomly selected.
a. What is the probability that more than 20% of the business travelers say that the reason for their most recent business trip was an internal company visit?
b. What is the probability that between 18% and 20% of the business travelers say that the reason for their most recent business trip was an internal company visit?
Click here to see answer by VFBundy(438)  |
Question 1169956: A Food Marketing Institute found that 30% of households spend more than $125 a week on groceries. Assume the population proportion is 0.3 and a simple random sample of 86 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is between 0.37 and 0.49?
Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations.
Click here to see answer by Boreal(15235) |
Question 1169929: A Random Sample of 4 Members of a members a 150 members club has shown that 3 prefer no smoking in the club house dining room. What is the probability that this will occur if in fact only 20% of members prefer no smoking in the dining room. Answer=0.0240
Click here to see answer by Boreal(15235) |
Question 1169919: Mary Math rolls a regular six-sided die and gets five threes and stops. Would it be appropriate to state that her die favors threes? Could we conclude that the proportion of threes is greater than the expected 1/6?
Click here to see answer by Boreal(15235) |
Question 1169892: An article published in the Washington Post claims that 45 percent of all Americans have brown eyes. A random sample of n=76 college students students found 28 who had brown eyes.
Consider testing
H0:p=.45
Ha:p≠.45
Click here to see answer by Boreal(15235) |
Question 1169917: Compare the doubling times found with the approximate and exact doubling time formulas. Then use the exact doubling time formula to answer the given question.
A family of 200 termites invades your house, and its population increases at a rate of 21% per week. How many termites will be in your house after 1 year (52 weeks)?
Calculate the doubling times found with the approximate and exact doubling time.
The approximate doubling time is "blank" weeks and the exact doubling time is
"blank"weeks?
Click here to see answer by Theo(13342) |
Question 1169988: Hi, I am in need of help! if you can help me solve that would be great!thank you
The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon.
a) What proportion of hybrids gets over 62 miles per gallon?
b) What proportion of hybrids gets 53 miles per gallon or less?
c) what proportion of hybrids gets between 59 and 62 miles per gallon?
d) What is the probability that a randomly selected hybrid gets less than 46 miles per gallon?
Click here to see answer by Theo(13342) |
Question 1170026: an urn contains 4 green balls 2 black balls and 6 yellow balls. Four balls are selected at random, without being replaced. Find the probability of
a. drawing four balls that are yellow
b. drawing a black ball a yellow ball and two green balls
Click here to see answer by greenestamps(13198) |
Question 1169826: 5. Diastolic blood pressure are assumed to follow a nomal distribution with a mean of 85 and a standard deviation of 12.
a. what proportion of people have diastolic blood pressure less than 90?
b.what proportion have diastolic blood pressure between 80 and 90?
c. if someone has a diastolic blood pressure of 100, what percentile is he/she in?
Click here to see answer by Boreal(15235) |
Question 1170141: The black face cards and the red cards numbered 3-7 are put into a bag. 4 cards are drawn at random without replacement. Find the probability that…
2 cards are black and 2 cards are red.
All cards are red.
At least 1 of the cards is black.
Click here to see answer by VFBundy(438) |
Question 1170152: Use the data given in the table below to compute the probability that a randomly chosen voter from the survey will satisfy the following. Round to the nearest hundredth.
The voter is between 39 and 49 and is registered as a Democrat.
Click here to see answer by ikleyn(52776) |
Question 1170168: A local race for charity has taken place since 1993. Using the actual speeds of the winners from 1993 through 1998, mathematicians obtained the formula , in which x represents the number of years after 1993 and y represents the winning speed in miles per hour. In what year is the winning speed predicted to be 7.16 mph?
Click here to see answer by greenestamps(13198) |
Question 1170212: Steve wants to download a selection of new music. How many ways can Steve select four rock songs, three alternative songs, and eleven rap songs from a list of five rock songs, eight alternative songs, and twelve rap songs?
Click here to see answer by Boreal(15235) |
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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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