Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 904966: Suppose that 6 men in 100 are colorblind, while 22 women in 10,000 are colorblind. Compute the probability that a colorblind individual is male. Assume that the population contains an equal number of males and females. Round your answer to two decimal places.
Click here to see answer by ewatrrr(24785)   |
Question 904979: Given that the ages of students doing bs is normally distributed with mean 25 years and variance 5 years, convert the following statements in X to those in Z. For each, sketch on the normal curve clearly showing the area required.
I. P(X<35)
II.P(X>30)
The first question was missing some infor please help.
Click here to see answer by ewatrrr(24785) |
Question 904978: given that the ages of students doing statistics is normally distributed with mean 25 years, convert the following statements in X to those in Z. For each, sketch on the normal curve clearly showing the area required.
I need help on this question please.
Click here to see answer by ewatrrr(24785) |
Question 904991: A company manufactures hockey sticks. It is known that the length of these hockey sticks is normally distributed with mean 92cm and a standard deviation 4cm.
A sample of 30 hockey sticks is drawn. Calculate the probability that the sample mean will be between 91cm and 93 cm?
Click here to see answer by ewatrrr(24785) |
Question 905032: A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 74%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H 0 and the alternative hypothesis H 1 that we would use for this test.
Click here to see answer by ewatrrr(24785) |
Question 905056: Given a normal distribution with u=100 and q=10, if you select a sample of n=25, what is the probability that x bar is:
a. less than 95
b. between 95 and 97.5
c. above 102.2
d. there is a 65% chance that Xbar is above what value?
I am trying to use the excel functions and it's not working. Thank you so much
Click here to see answer by ewatrrr(24785) |
Question 905438: According to Gallup's poll on consumer behavior, 36% of Americans say they will consider only cars manufactured by an American company when purchasing a new car. If you select a random sample of 200 Americans,
a. what is the probability that the sample will have between 30% and 40% who say they will consider only cars manufactured by an American company when purchasing a new car?
b. the probability is 90% that the sample percentage will be contained within what symmetrical limits of the population percentage?
c. the probability is 95% that the sample percentage will be contained within what symmetrical limits of the population percentage?
Please help with showing the work and excel formulas if possible. Thank you so much,
Click here to see answer by ewatrrr(24785) |
Question 905526: 4. Thirty percent of students at a local college take statistics. Ninety percent of the students taking statistics at the college pass the course. What is the probability that a student will take statistics and pass the course?
Click here to see answer by ewatrrr(24785) |
Question 905632: The probability that student passes the SRA Exam is 0.71. Twelve students take the exam. Find each probability (to four decimal places)
P( Exactly 6 pass the exam)
this is how i set it up (12/6) (0.71)^6 (0.29)^6
could you help me out? I'm not sure exactly how to set it up and solve it
Click here to see answer by jim_thompson5910(35256) |
Question 905735: A quality control inspector samples 6 computer chips from a box containing 11 computer chips. If the box contains 2 defective chips, in how many ways can he select a sample so that all 6 are good?
Click here to see answer by Theo(13342)  |
Question 905772: a system of 5 identical units consists of two parts A and B which are connected in series.part A has 2 units connected in parallel and part B has 3 units connected in parallel.all the units function independently with probability of failure 1/2.then the reliability of the system is
a)31/32
b)11/32
c)1/32
d)21/32
Click here to see answer by Theo(13342) |
Question 905822: Find the z value that corresponds to the area: 0.2157.
To solve this, I have looked at the standard normal distribution chart, and got the value of -.79, but I am not sure if I am supposed to subtract it from 1 or not.
Click here to see answer by Theo(13342) |
Question 905860: Forty-nine items are randomly selected from a population of 500 items. The sample mean is 40 and the sample standard deviation 9.
Develop a 99% confidence interval for the population mean. (Round your answers to 3 decimal places.)
The confidence interval is between_______ and__________.
I got 36.217 and 43.783 However this is wrong.
Click here to see answer by ewatrrr(24785) |
Question 905874: Machine A produces 3% defectives, machine B produces 5% defectives, and machine C produces 10% defectives. Of the total output from these machines, 70% of the items are from machine A, 20% from B, and 10% from C. One item is selected at random from a day’s production. If inspection finds the item to be defective, what is the revised probability that the item came from machine B?
Click here to see answer by ewatrrr(24785) |
Question 905876: A study by the U.S. Energy Information Administration found that 85% of U.S. households with incomes under $10,000 did not own a dishwasher while only 22% of those in the over $50,000 income range did not own a dishwasher. If one household is randomly selected from each income group, determine the probability that 1. neither household will own a dishwasher (R) and 2. both households will own a dishwasher (G).
Click here to see answer by ewatrrr(24785) |
Question 905884: It has been reported that the 44,300 employees of Northwest Airlines are distributed among the following corporate functions: Pilots 13% (A), Agents/clerks 22% (B), Flight attendants 21% (C), Mechanics 17% (D), Other 27% (E). What are the value of P(A or E) and P(A and C')?
Click here to see answer by ewatrrr(24785) |
Question 905867: Each morning, coffee is prepared for the entire office staff by one of the three employees, depending on who first arrives at work. Veronica arrives first 20% of the time. Gita and Michael are each the first to arrive on half of the remaining mornings. The probability of that the coffee will be bitter when it is prepared by Veronica is 0.1. The probability of the coffee will be bitter if this coffee prepared by Gita is 0.2. While there is 0.3 chances that the coffee will be bitter given that the coffee prepared by Michael. Based on this information, calculate
a. Probability of the Coffee bitter in any morning.
b. Probability of the coffee is not bitter in any morning.
c. Probability of the coffee is prepared by Gita or Michael.
d. Probability of the coffee is not bitter and prepared by Michael
e. Probability of the coffee is prepared by Veronica, given that the coffee is bitter
f. Probability of the coffee is not bitter, when it is prepared by Gita
Click here to see answer by ewatrrr(24785) |
Question 905817: Consider an F distribution with 20 numerator degrees of freedom and 26 denominator degrees of freedom. Compute P(0.85 < F < 1.46)
Round your answer to at least three decimal places.
Consider an F distribution with 43 numberator degrees of freedom and 34 denominator degrees of freedom. Find c such that P(F > or equal to c)= 0.1
Round your answer to at least two decimal places.
P(0.85 < F < 1.46) =
c =
Click here to see answer by ewatrrr(24785) |
Question 905857: The estimate of the population proportion is to be within plus or minus 0.07, with a 90% level of confidence. The best estimate of the population proportion is 0.23. How large a sample is required? (Use Student's t Distribution Table.) (Round up your answer to the next whole number.)
Sample size____________
Click here to see answer by ewatrrr(24785) |
Question 905928: The verbal part of the Graduate Record Exam (GRE) has a mean of 500 and a standard deviation of 100. Use the normal distribution to answer the following questions:
a. If you wanted to select only students at or above the 90th percentile, what verbal GRE score would you use as a cutoff score?
b. What verbal GRE score corresponds to a percentile rank of 15%?
c. What’s the percentile rank of a GRE score of 628?
Click here to see answer by ewatrrr(24785) |
Question 905925: The police department of a major city has found that the average height of their 1,250 officers is 71 inches with a standard deviation of 2.3 inches.
a. How many officers are at least 75 inches tall?
b. What percent of officers are between 65 and 72 inches tall?
c. The top 10% of the officers in terms of height also make higher salaries than the shorter officers. How tall does an officer have to be to get in that top 10% group? (I.e. what is the height marking off the top 10 percent?)
Click here to see answer by ewatrrr(24785) |
Question 905950: Find the minimum sample size that should be chosen to assure that the proportion estimate p will be within the required margin of error, .06. Use a 95% confidence interval and a population proportion of .7. The critical value for a 95% confidence level is 1.96
Click here to see answer by ewatrrr(24785) |
Question 905995: A student is taking two courses, history and math. The probability the student will pass the history course is .56, and the probability of passing the math course is .62. The probability of passing both is .49.
What is the probability of passing at least one? (Round your answer to 2 decimal places.)
Click here to see answer by ewatrrr(24785) |
Question 905942: If one number is chosen at random from the first 1,800 positive integers, what is the probability that the number chosen is a multiple of both 2 and 8?
(I have tried (900/1800) + (225/1800) - (900/1800)(22/1800) = 1/6 [incorrect]. Not sure what I'm doing wrong...)
Click here to see answer by richard1234(7193)  |
Question 906208: a random sample of 88 observations produced a mean x = 25.8 and standard deviation s=2.7. Find 95%, 90% and 99% confidence interval for u
I have been trying to figure out how to do this problem for hours but I keep getting stuck. If someone can show me step by step it would help me alot. Thank you so much.
Click here to see answer by ewatrrr(24785) |
Question 906208: a random sample of 88 observations produced a mean x = 25.8 and standard deviation s=2.7. Find 95%, 90% and 99% confidence interval for u
I have been trying to figure out how to do this problem for hours but I keep getting stuck. If someone can show me step by step it would help me alot. Thank you so much.
Click here to see answer by Theo(13342) |
Question 906277: In the autumn of 2003, the National Safe Kids Campaign conducted a study of helmet use among children ages 5 to 14 who participate in wheeled sports. Data were collected from various sites across the United States that were designated as places where children often engage in wheeled sports. Activity, apparent gender and estimated age were recorded for each rider, along with information on helmet use. It was found that, overall, 41% of children were wearing a helmet while participating in a wheeled sport.
a. Was this experimental or observational?
b. Identify the parameter of interest.
c. Identify the statistic and give its value.
Click here to see answer by ewatrrr(24785) |
Question 906279: The average weight of all newborn babies at Dearborn Hospital was estimated by using the average weight of babies born in the month of April. Based on this information, identify:
a. A statistic
b. A variable
c. A data value
Click here to see answer by ewatrrr(24785) |
Question 906303: Suppose that at UVA, 73% of all undergraduates are in the College, 12% are in Engineering, 7% are in Commerce, 3% are in Nursing, and 5% are in Architecture. In each school, the percentage of females is as follows: 56% in the College, 25% in Engineering, 49% in Commerce, 89% in Nursing, and 33% in Architecture. If a randomly selected student is male, what is the probability that he's from the College?
Click here to see answer by ewatrrr(24785) |
Question 906200: Find the minimum sample size that should be chosen to assure that the proportion estimate p will be within the required margin of error, .06. Use a 95% confidence interval and a population proportion of .7. The critical value for a 95% confidence level is 1.96
Click here to see answer by ewatrrr(24785) |
Question 906372: Counselors at an exclusive private college look carefully at the applications from high school students seeking admission to the college. One of their criteria is that these students must score in the top 5.75% of all students who took the required entrance exam. The exam is constructed such that the scores are normally distributed with an average of 900 and a standard deviation of 120 The minimum exam score necessary for applicants to be further considered for admission is:
Click here to see answer by stanbon(75887) |
Question 906374: Your high school freshman class consists of 760 students. In recent years, only 4 out of 7 students actually graduated in four years. Approximately how many of your classmates are expected to graduate in four years?
a.
190 students
b.
760 students
c.
434 students
d.
1330 students
Click here to see answer by solver91311(24713)  |
Question 906434: Let Upper X be the number of years before a particular type of machine will need replacement. Assume that Upper X has the probability function f left-parenthesis 1 right-parenthesis equals 0.3, f left-parenthesis 2 right-parenthesis equals 0.1, f left-parenthesis 3 right-parenthesis equals 0.2, f left-parenthesis 4 right-parenthesis equals 0.1, f left-parenthesis 5 right-parenthesis equals 0.3. Find the probability that the machine needs no replacement during the first 3 years.
Click here to see answer by stanbon(75887) |
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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, 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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, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580, 41581..41625, 41626..41670, 41671..41715, 41716..41760, 41761..41805, 41806..41850, 41851..41895, 41896..41940, 41941..41985, 41986..42030, 42031..42075, 42076..42120, 42121..42165, 42166..42210, 42211..42255, 42256..42300, 42301..42345, 42346..42390, 42391..42435, 42436..42480, 42481..42525, 42526..42570, 42571..42615, 42616..42660, 42661..42705, 42706..42750, 42751..42795, 42796..42840, 42841..42885, 42886..42930, 42931..42975, 42976..43020, 43021..43065, 43066..43110, 43111..43155, 43156..43200, 43201..43245, 43246..43290, 43291..43335, 43336..43380, 43381..43425, 43426..43470, 43471..43515, 43516..43560, 43561..43605, 43606..43650, 43651..43695, 43696..43740, 43741..43785, 43786..43830, 43831..43875, 43876..43920, 43921..43965, 43966..44010, 44011..44055, 44056..44100, 44101..44145, 44146..44190, 44191..44235, 44236..44280, 44281..44325, 44326..44370, 44371..44415, 44416..44460, 44461..44505, 44506..44550, 44551..44595, 44596..44640, 44641..44685, 44686..44730, 44731..44775, 44776..44820, 44821..44865, 44866..44910, 44911..44955, 44956..45000, 45001..45045, 45046..45090, 45091..45135, 45136..45180, 45181..45225, 45226..45270, 45271..45315, 45316..45360, 45361..45405, 45406..45450, 45451..45495, 45496..45540, 45541..45585, 45586..45630, 45631..45675, 45676..45720, 45721..45765, 45766..45810, 45811..45855, 45856..45900, 45901..45945, 45946..45990, 45991..46035, 46036..46080, 46081..46125, 46126..46170, 46171..46215, 46216..46260, 46261..46305, 46306..46350, 46351..46395, 46396..46440, 46441..46485, 46486..46530, 46531..46575, 46576..46620, 46621..46665, 46666..46710, 46711..46755, 46756..46800, 46801..46845, 46846..46890, 46891..46935, 46936..46980, 46981..47025, 47026..47070, 47071..47115, 47116..47160, 47161..47205, 47206..47250, 47251..47295, 47296..47340, 47341..47385, 47386..47430, 47431..47475, 47476..47520, 47521..47565, 47566..47610, 47611..47655, 47656..47700, 47701..47745, 47746..47790, 47791..47835, 47836..47880, 47881..47925, 47926..47970, 47971..48015, 48016..48060, 48061..48105, 48106..48150, 48151..48195, 48196..48240, 48241..48285, 48286..48330, 48331..48375, 48376..48420, 48421..48465, 48466..48510, 48511..48555, 48556..48600, 48601..48645, 48646..48690, 48691..48735, 48736..48780, 48781..48825, 48826..48870, 48871..48915, 48916..48960, 48961..49005, 49006..49050, 49051..49095, 49096..49140, 49141..49185, 49186..49230, 49231..49275, 49276..49320, 49321..49365, 49366..49410, 49411..49455, 49456..49500, 49501..49545, 49546..49590, 49591..49635, 49636..49680, 49681..49725, 49726..49770, 49771..49815, 49816..49860, 49861..49905, 49906..49950, 49951..49995, 49996..50040, 50041..50085, 50086..50130, 50131..50175, 50176..50220, 50221..50265, 50266..50310, 50311..50355, 50356..50400, 50401..50445, 50446..50490, 50491..50535, 50536..50580, 50581..50625, 50626..50670, 50671..50715, 50716..50760, 50761..50805, 50806..50850, 50851..50895, 50896..50940, 50941..50985, 50986..51030, 51031..51075, 51076..51120, 51121..51165, 51166..51210, 51211..51255, 51256..51300, 51301..51345, 51346..51390, 51391..51435, 51436..51480, 51481..51525
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