Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1197352: Solve the below Bayes' theorem question
QNo3=A manufacturer of a firm claims that 70% of its new hires turn out to be good workers and the rest are to be poor workers. The company advised their current to qualify a reasoning test. Eighty percent of the good workers and forty percent of the poor workers pass the reasoning test. If the company makes the reasoning test be a part of its hiring procedure, what then is the probability of the new hires that,
1. will turn out to be good workers?
ii. will turn out to be poor workers?
iii. Depict the turn out percentage of the workers on the Bayes' tree diagram
Click here to see answer by Edwin McCravy(20054)   |
Question 1197527: An experiment consists of rolling two fair (not weighted) dice and adding the dots on the two sides facing up. Each die has the number 1 on two opposite faces, the number 2 on two opposite faces, and the number 3 on two opposite faces. Compute the probability of obtaining the indicated sum.
Click here to see answer by ikleyn(52756)  |
Question 1197527: An experiment consists of rolling two fair (not weighted) dice and adding the dots on the two sides facing up. Each die has the number 1 on two opposite faces, the number 2 on two opposite faces, and the number 3 on two opposite faces. Compute the probability of obtaining the indicated sum.
Click here to see answer by greenestamps(13196)  |
Question 1197526: An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Using the sample space provided below and assuming each simple event is as likely as any other, find the probability that the sum of the dots is not 3 or 9 .
Click here to see answer by ikleyn(52756) |
Question 1197526: An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Using the sample space provided below and assuming each simple event is as likely as any other, find the probability that the sum of the dots is not 3 or 9 .
Click here to see answer by math_tutor2020(3816) |
Question 1197519: q1)
A) random variable X is de fined as the larger of the scores obtained in two throws of a fair six-sided die.Find the distribution of the random variable X.
(b)A random variable Y is de fined as the highest score obtained in k throws of a fair six-sided die.Determine the probability mass function of Y .
q2)
.A white die and a red die are thrown at the same time and the difference W−R is observed ,where R is the number on top of the red die and W is that on top of the white one .Find the probability mass function of this difference W−R.
Click here to see answer by math_tutor2020(3816) |
Question 1197542: We wish to estimate what percent of adult residents in a certain county are parents. Out of 400 adult residents sampled, 288 had kids. Based on this, construct a 99% confidence interval for the proportion p of adult residents who are parents in this county.
Express your answer in tri-inequality form. Give your answers as decimals, to three places.
< p <
Express the same answer using the point estimate and margin of error. Give your answers as decimals, to three places.
p =
±
Click here to see answer by math_tutor2020(3816) |
Question 1197539: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately
σ
=
50.2
. You would like to be 90% confident that your estimate is within 1.5 of the true population mean. How large of a sample size is required?
n =
Click here to see answer by ewatrrr(24785)  |
Question 1197540: You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately
σ
=
21.8
dollars. You would like to be 98% confident that your estimate is within 2 dollar(s) of average spending on the birthday parties. How many moms do you have to sample? Do not round mid-calculation.
n =
Try this with your statistics calculator, if you increases the confidence level, the sample size
decreases
increases
If you increases the error bound, the sample size
increases
decreases
Click here to see answer by ewatrrr(24785) |
Question 1197562: Assume that the proportion of voters who prefer Candidate A is
p
=
0.571
. Organization D conducts a poll of
n
=
5
voters.
Let X represent the number of voters polled who prefer Candidate A. Use some form of appropriate technology (e.g., your calculator or statistics software like Excel, R, or StatDisk) to find the cumulative probability distribution.
Click here to see answer by ewatrrr(24785) |
Question 1197562: Assume that the proportion of voters who prefer Candidate A is
p
=
0.571
. Organization D conducts a poll of
n
=
5
voters.
Let X represent the number of voters polled who prefer Candidate A. Use some form of appropriate technology (e.g., your calculator or statistics software like Excel, R, or StatDisk) to find the cumulative probability distribution.
Click here to see answer by math_tutor2020(3816) |
Question 1197594: A number cube with faces labeled from 1 to 6 will be rolled once.
The number rolled will be recorded as the outcome.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of rolling a number greater than 3.
If there is more than one element in the set, separate them with commas.
Click here to see answer by greenestamps(13196) |
Question 1197537: A psychiatrist is interested in finding a 98% confidence interval for the tics per hour exhibited by children with Tourette syndrome. The data below show the tics in an observed hour for 13 randomly selected children with Tourette syndrome. Round answers to 3 decimal places where possible.
8 1 2 4 0 7 8 9 3 7 0 3 4
a. To compute the confidence interval use a
?
distribution.
b. With 98% confidence the population mean number of tics per hour that children with Tourette syndrome exhibit is between
and
.
c. If many groups of 13 randomly selected children with Tourette syndrome are observed, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population mean number of tics per hour and about
percent will not contain the true population mean number of tics per hour.
Click here to see answer by ewatrrr(24785) |
Question 1197549: General Hospital has noted that they admit an average of 8 patients per hour.
a.What is the probability that during the next hour less then 3 patients will be admitted?
b.What is the probability that during the next two hours exactly 8 patients will be admitted?
Click here to see answer by ewatrrr(24785) |
Question 1197541: Assume that a sample is used to estimate a population proportion p. Find the 95% confidence interval for a sample of size 146 with 63 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places.
Click here to see answer by ewatrrr(24785) |
Question 1197536: The mayor is interested in finding a 90% confidence interval for the mean number of pounds of trash per person per week that is generated in city. The study included 117 residents whose mean number of pounds of trash generated per person per week was 37.8 pounds and the standard deviation was 6.4 pounds.
a. To compute the confidence interval use a
?
distribution.
b. With 90% confidence the population mean number of pounds per person per week is between
and
pounds.
c. If many groups of 117 randomly selected members are studied, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population mean number of pounds of trash generated per person per week and about
percent will not contain the true population mean number of pounds of trash generated per person per week.
Click here to see answer by ewatrrr(24785) |
Question 1197534: The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 78.5 for a sample of size 26 and standard deviation 13.6. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 80% confidence level). Assume the data is from a normally distributed population.
Enter your answer as a tri-linear inequality accurate to three decimal places.
Click here to see answer by ewatrrr(24785) |
Question 1197535: A researcher is interested in finding a 90% confidence interval for the mean number minutes students are concentrating on their professor during a one hour statistics lecture. The study included 107 students who averaged 32.4 minutes concentrating on their professor during the hour lecture. The standard deviation was 13.7 minutes. Round answers to 3 decimal places where possible.
a. To compute the confidence interval use a
?
distribution.
b. With 90% confidence the population mean minutes of concentration is between
and
minutes.
c. If many groups of 107 randomly selected members are studied, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population mean minutes of concentration and about
percent will not contain the true population mean minutes of concentration.
Click here to see answer by ewatrrr(24785) |
Question 1197533: Assume that a sample is used to estimate a population mean
μ Find the 99.5% confidence interval for a sample of size 331 with a mean of 65.6 and a standard deviation of 15.4. Enter your answer as a tri-linear inequality accurate to 3 decimal places.
Click here to see answer by ewatrrr(24785) |
Question 1197612: the weight of queen Emma chocolate in a box is a random variable with a mean weight of 16 grams and a standard deviation of 0.6 grams. if the box contains 24 chocolate bars, what is the probability that the mean weight of randomly picked box will be over 16.5 grams?
Click here to see answer by ewatrrr(24785) |
Question 1197610: Occasionally an airline will lose a bag. A small airline has found it loses an average of 4.7 bags each day. Find the probability that, on a given day,
(a) The airline looses exactly eleven bags.
(b) The airline looses fewer than nine bags.
(c) The airline looses more than nine bags.
Click here to see answer by ewatrrr(24785) |
Question 1197439: There is a gambling game where equal-weight balls with numbers ranging from 1 to 15 are placed inside a tambiolo and mixed. Without replacement, three balls are chosen at random and are then chosen one by one.
(a) A certain casino customer named Mr. Han only has enough cash to place a total of 5 bets that evening. Mr. Han consistently bets that the 3 balls will be chosen, and that the greatest number will be at least as large as "12" among them. How likely is it that this will happen?
(b) What is the likelihood that Mr. Han will finally strike it lucky and win on the 5th bet after a run of bad luck?
Click here to see answer by Edwin McCravy(20054) |
Question 1197615: A certain raffle has one ticket that wins a $150 prize and five tickets that each win a $10 prize out of 150 purchased tickets.
Round answers to the nearest cent.
a. Find the expected value of each ticket.
b. For the company running the raffle, would selling each ticket for $5 be a Profit, a Loss, or a Fair Game?
Click here to see answer by math_tutor2020(3816) |
Question 1197641: A box contains 3 white and 8 yellow balls. If two balls are drawn in succession without replacement, what is the probability that: a.) both are white? b.) the first ball is white and the second ball is yellow?
Click here to see answer by ewatrrr(24785) |
Question 1197639: A local men's clothing store is being sold. The buyers are trying to estimate the proportion of items that are outdated. They will choose a random sample from the 100,000 items in the store's inventory in order to determine the proportion of merchandise that is outdated. The current owners have never determined the percentage of outdated merchandise and cannot help the buyers. How large a sample do the buyers need in order to be 99% confident that the margin of error of their estimate is about 0.02?
Click here to see answer by ewatrrr(24785) |
Question 1197647: 1. A box contains 3 white and 8 yellow balls. If two balls are drawn in succession without replacement, what is the probability that:
a.) both are white?
b.) the first ball is white and the second ball is yellow?
Click here to see answer by ewatrrr(24785) |
Question 1197665: The probability that a late arrival due to bad weather is 0.04, the probability that a late arrival is rightly diagnosed to be by bad weather is 0.82, and the probability that the late arrival is wrongly diagnosed to be by bad weather is 0.03. What is the probability that a late arrival is attributed to bad weather was actually due to bad weather? Answer in three decimals.
Click here to see answer by ewatrrr(24785) |
Question 1197657: A box is contain 6 ripe mangoes ,4 unripe,3 oranges and 3 apples
Two are drawn at random from the box without replacement , what is the probability that two are oranges
i.what is probability of getting ripe mangoes.unripe
ii.probability of getting only mangoes
iii.both apples and oranges
Click here to see answer by ewatrrr(24785) |
Question 1197676: 4. There are 3 green cards, 4 red cards and 5 brown cards in a bag. What is the probability
a.) of getting a red card or a brown card after a green one (w/o replacement)?
b.) that a brown card is drawn first but not replaced, and a red card follows at the second draw?
Click here to see answer by math_tutor2020(3816) |
Question 1197674: Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores:
Grades 65 64.3 88 69 83.2 68.4 96 64.3 65 62.7
Test grades are believed to be normally distributed.
Use a significance level of 5%.
State the mean of the sample:
85.08
Incorrect
State the standard error of the sample means:
State the test statistic:
t
=
5.935830
Incorrect
State the p-value:
Click here to see answer by math_tutor2020(3816) |
Question 1197672: The average house has 15 paintings on its walls. Is the mean different for houses owned by teachers? The data show the results of a survey of 15 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal.
15, 13, 15, 15, 14, 12, 12, 14, 14, 15, 14, 15, 16, 13, 13
What can be concluded at the
α
= 0.05 level of significance?
Click here to see answer by math_tutor2020(3816) |
Question 1197675: The amounts of money requested on home loan applications at Down River Federal Savings follow the normal distribution, where the amount requested for home loans followed the normal distribution with a mean of $80 000 and a standard deviation of $24 000. (Round z-score computation to 2 decimal places and the final answers to the nearest whole dollars.)
a. What is the minimum amount requested on the largest 2% of loans?
$
b. What is the maximum amount requested on the smallest 10% of loans?
$
Click here to see answer by ikleyn(52756) |
Question 1197675: The amounts of money requested on home loan applications at Down River Federal Savings follow the normal distribution, where the amount requested for home loans followed the normal distribution with a mean of $80 000 and a standard deviation of $24 000. (Round z-score computation to 2 decimal places and the final answers to the nearest whole dollars.)
a. What is the minimum amount requested on the largest 2% of loans?
$
b. What is the maximum amount requested on the smallest 10% of loans?
$
Click here to see answer by ewatrrr(24785) |
Question 1197678: Scores for a particular standardized test are normally distributed with a mean of 80 and
a standard deviation of 14 . Find the probability that a randomly chosen score is
(i) No greater than 70
(ii) At least 95
(iii) Between 70 and 95
(iv) A student was told that her percentile score on this exam is 72% . Approximately what
is her raw score?
Click here to see answer by ewatrrr(24785) |
Question 1197673: Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores:
Grades 68.4 96 69 65 62.7 88 74.4 69 69 85.5
Click here to see answer by ewatrrr(24785) |
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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, 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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, 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