Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1075241: An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular manufacturing defect.
(a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 5000 cars.
(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. (a) using a Poisson distribution and compare the results.
Click here to see answer by Boreal(15235)   |
Question 1075237: A bank offers online banking to its customers free of charge. While online, customers can also sign up for additional services that the bank offers. Let x be the number of customers who sign up for additional services online each day. Suppose the distribution of x is approximated well by a Poisson distribution with mean λ = 3. Hint: the mean is the same as E(x) or the expected value.
a) Find E(x) and σ.
b) What is the P(X = 2)? This is just the probability of x = 2 not the cumulative probability.
Click here to see answer by Boreal(15235) |
Question 1075236: At one university, the students are given z-scores at the end of the semester rather than the traditional GPA's. A student who received a Z score of 2.0 actually had a GPA score of 3.7. Given the standard deviation of all GPA's was 0.5, what was the mean GPA?
Click here to see answer by Boreal(15235) |
Question 1075235: Suppose that 68% of the employees of a company participate in the company’s medical savings program. Let x be the number of employees who participate in the program in a random sample of 50 employees. Find the mean and standard deviation of x.
Click here to see answer by Boreal(15235) |
Question 1075262: 1. Based on data from the National Health Service, women between the ages of 18 and 24 have an average systolic blood pressure (in mm Hg) of 114.8 with a standard deviation of 13.1. Systolic blood pressure for women between the ages of 18 to 24 follow a normal distribution.
If 40 women from this population are selected, find the probability that their mean systolic blood pressure is greater than 120.
Click here to see answer by stanbon(75887) |
Question 1075257: The question is:
Find the number of ways to get the following combinations from a 52 card deck. Two red aces and two black queens.
A. 144
B. 48
C. 1152
D. 192
I have tried a bunch of things and I believe the answer is not portrayed by the multiple choice. There are only 2 red aces and 2 black queens so it is a 1X1=1 way and that is not an option
Click here to see answer by Alan3354(69443)  |
Question 1075191: Please I'm asking for your help to solve the problem.
Question
The records of a department store show that 10% of their customers who make a purchase return the merchandise in order to exchange it. What is the probability that in the next eight purchases at least three customers return the merchandise for exchange?
Click here to see answer by rothauserc(4718)  |
Question 1075117: 1. Based on data from the National Health Service, women between the ages of 18 and 24 have an average systolic blood pressure (in mm Hg) of 114.8 with a standard deviation of 13.1. Systolic blood pressure for women between the ages of 18 to 24 follow a normal distribution.
If 40 women from this population are selected, find the probability that their mean systolic blood pressure is greater than 120
Click here to see answer by Boreal(15235) |
Question 1075300: The well-known psychologist Dr. Elbod has established what he calls his Generalized Anxiety (GA) scale. This is a Correlation and Regression with (3) questions about 90% confidence intervals for equation “hat" y = 8.44 - 0.33x .
The well-known psychologist Dr. Elbod has established what he calls his Generalized Anxiety (GA) scale. The GA scale, which is a scale from 0 to 10, measures the "general anxiety" of an individual, with higher GA scores corresponding to more anxiety. (Dr. Elbod's assessment of anxiety is based on a variety of measurements, both physiological and psychological.)
We'd like to make predictions about individuals' sleep behavior based on their GA scores. We've collected bivariate data that give the GA score (denoted by ) and the number of hours of sleep last night (denoted by y) for each of the 12 adults participating in a study. The least-squares regression equation for our data is “hat" y = 8.44 - 0.33x . We have used this equation to predict tonight's sleep time for a woman whose GA score is 6.2 We're now interested in both a prediction interval for her sleep time and a confidence interval for the mean sleep time of individuals with her GA score.
We have computed the following for our data:
mean square error (MSE) 0.607;
1/12 + ((6.2 - x bar)^2) / (Summation 12, i=1 (x sub1 - x bar)^2)) = 0.1017;
where x sub 1, x sub 2, …’ x sub 12 denote the GA scores in the sample, and x bar denotes their mean.,
Based on this information, and assuming that the regression assumptions hold, answer the questions in the table below.
1. What is the 90% prediction for an individual value for sleep time (in hours) when eh GA score is 6.2? (Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places.)
ANSWER: Lower Limit ______
Answer Upper Limit _______
2. Choose one response to answer the question below.
a). The confidence interval would be positioned to the left of the predication interval
b). The confidence interval would be positioned to the right of the predication interval
c). The confidence interval would have the same center as, but would be wider than, the ….
d). The confidence interval would be identical to the prediction interval.
e). The confidence interval would have the same center as, but would be narrower than, ….
Consider(but do not actually compute) the 90% interval for the mean sleep time when the GA score is 6.2. How would this confidence interval compare to the prediction interval computed above (assuming that both intervals are computed from the same sample data)?
3. Choose one response to answer the question below.
a). The interval computed from a GA score of 2.8 would be narrower, but have the same
a). The interval computed from a GA score of 2.8 would be wider, but have the same
a). The intervals would be identical
a). The interval computed from a GA score of 2.8 would be wider, and have a different
a). The interval computed from a GA score of 2.8 would be narrower, and have a different
For the GA score values in this sample, 2.8 is more extreme than 6.2 is, that is, 2.8 is farther from the sample mean GA score than 6.2 is. How would the 90% prediction interval fro the mean sleep time when the GA score is 2.8 compare to the 90% prediction interval for the mean sleep time when the GA score is 6.2?
Thank you. I also have another similar question so, I would appreciate understanding how to answer this question. THANKS in advance.
Click here to see answer by ikleyn(52750)  |
Question 1075100: The least-squares regression equation for our data is “hat" y = 8.44 - 0.33x . with 3 questions.
The well-known psychologist Dr. Elbod has established what he calls his Generalized Anxiety (GA) scale. The GA scale, which is a scale from 0 to 10, measures the "general anxiety" of an individual, with higher GA scores corresponding to more anxiety. (Dr. Elbod's assessment of anxiety is based on a variety of measurements, both physiological and psychological.)
We'd like to make predictions about individuals' sleep behavior based on their GA scores. We've collected bivariate data that give the GA score (denoted by ) and the number of hours of sleep last night (denoted by y) for each of the 12 adults participating in a study. The least-squares regression equation for our data is “hat" y = 8.44 - 0.33x . We have used this equation to predict tonight's sleep time for a woman whose GA score is 6.2 We're now interested in both a prediction interval for her sleep time and a confidence interval for the mean sleep time of individuals with her GA score. We have computed the following for our data:
mean square error (MSE) 0.607;
1/12 + ((6.2 - x bar)^2) / (Summation 12, i=1 (x sub1 - x bar)^2)) = 0.1017;
where x sub 1, x sub 2, …’ x sub 12 denote the GA scores in the sample, and x bar denotes their mean.,
Based on this information, and assuming that the regression assumptions hold, answer the questions in the table below.
1. What is the 90% prediction for an individual value for sleep time (in hours) when eh GA score is 6.2? (Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places.)
ANSWER: Lower Limit ______
Answer Upper Limit _______
2. Choose one response to answer the question below.
a). The confidence interval would be positioned to the left of the predication interval
b). The confidence interval would be positioned to the right of the predication interval
c). The confidence interval would have the same center as, but would be wider than, the ….
d). The confidence interval would be identical to the prediction interval.
e). The confidence interval would have the same center as, but would be narrower than, ….
Consider(but do not actually compute) the 90% interval for the mean sleep time when the GA score is 6.2. How would this confidence interval compare to the prediction interval computed above (assuming that both intervals are computed from the same sample data)?
3. Choose one response to answer the question below.
a). The interval computed from a GA score of 2.8 would be narrower, but have the same
b). The interval computed from a GA score of 2.8 would be wider, but have the same
c). The intervals would be identical
d). The interval computed from a GA score of 2.8 would be wider, and have a different
e). The interval computed from a GA score of 2.8 would be narrower, and have a different
For the GA score values in this sample, 2.8 is more extreme than 6.2 is, that is, 2.8 is farther from the sample mean GA score than 6.2 is. How would the 90% prediction interval fro the mean sleep time when the GA score is 2.8 compare to the 90% prediction interval for the mean sleep time when the GA score is 6.2?
Thank you. I also have another similar question so, I would appreciate understanding how to answer this question. THANKS in advance.
Click here to see answer by ikleyn(52750) |
Question 1075367: Could someone show me how to answer these?
If x is a binomial variable with p = .4 and n = 25, write the probability that you would be looking for after you have applied the continuity correction factor for the following conditions for x:
3) x = 5
4) x > 5
5) x ≤ 5
Click here to see answer by Boreal(15235) |
Question 1075194: Please help me solve the problem, I will appreciate your help.
Question
The weight of a certain type of chicken, when ready for the market, follows a normal distribution with mean 1.0 kg and a standard deviation of 0.20 kg. Find the probability that a chicken weighs more than 1.60 kg.
Click here to see answer by Boreal(15235) |
Question 1075399: A store manager randomly inspected the sales slip for a sampling of his customers.He found that out of the 60 people he inspected, 3 had a mistake on the sales slip. If he expects to have 850 customers a day, how many of those will likely have a mistake on the sales slip.
Click here to see answer by Boreal(15235) |
Question 1075411: there are 17 balls in a basket. The number of red balls is 3 more than the number of blue balls. The number of yellow balls is 4 less than the number of red balls. How many blue balls are in the basket? how many red balls? How many yellow balls?
Click here to see answer by Alan3354(69443) |
Question 1075448: Suppose you set insurance prices for an insurance company. The insured object is a Dutch oven. With probability 0.02 the lid will need to be replaced and it will cost $150, with probability 0.01 the pot will need to be replaced and it will cost $400. Your boss wants the insurance policy to generate $9 of expected profit. What should be the price of the insurance policy?
Click here to see answer by jorel1380(3719)  |
Question 1075433: Two cards are randomly selected without replacement from a set of four cards numbered 2, 3, 4, and 5. What is the probability that the sum of the numbers on the two cards selected is 7? Express your answer as a common fraction.
Thanks for the help :)
Click here to see answer by Fombitz(32388)  |
Question 1075520: If a fair coin is tossed five times, the probability distribution with respect to the number of heads observed is based on the binomial distribution, with n=5 and p=0.50 find the expected number of heads and standard deviation for the number of heads.
Click here to see answer by Boreal(15235) |
Question 1075549: A researcher wishes to estimate, with 95% confidence, the proportion of adults who have high-speed internet access. Her estimate must be accurate within 4% of the true proportion.
a) find the minimum sample size needed, using a prior study that found 52% of the respondents said they have high-speed internet access.
b) No preliminary estimate is available. Find the minimum sample size needed.
Show your work, if is you used technology - explain your steps.
Click here to see answer by Boreal(15235) |
Question 1075541: Suppose that the probability of winning the lottery is one in a million. If you play the lottery every day for 50 years(50*365=18,250 days), what is the probability that you win the lottery at least once?
I am so lost any help i'd be grateful for.
Click here to see answer by Boreal(15235) |
Question 1075565: Pick four cards from a regular deck without replacement. What is the probability that you get exactly two hearts at the first and fourth cards?
I have tried two different ways 1st I came up with
1/2704
1/117 also incorrect.... Any suggestions??????
Click here to see answer by josmiceli(19441)  |
Question 1075567: If You play a game in which your chance of winning is 40 percent. You play a total of 13 games.
a)Find the probability of losing all 13 games.
b)Find the probability of winning exactly 5 games.
c)Find the probability of winning 5 or 6 games.
d)Find the probability of winning at least one game.
IS there a formula??????
Click here to see answer by Fombitz(32388) |
Question 1075588: when a customer enters a pharmacy the probability that he or she will have 0, 1, 2, 3 prescription filled are, 0.60, 0.25, 0.10, 0.05, respectively. For a sample of 6 people who enter the pharmacy, from me the probability that 2 will have 0 prescriptions, 2 will have 1 prescriptions, 1 will have 2 prescriptions, an 1 will have 3 prescriptions?
Click here to see answer by stanbon(75887) |
Question 1075582: the average number of traffic accidents per seven-day week on a certain section of highway is equal to 14. Based on this information, what is the probability that there will be four accidents on the Monday of a specific week
Click here to see answer by Boreal(15235) |
Question 1075459: Can you help me find a simple solution to this question , Thanks alot in advance
the question is
How many 3-digit numbers can be formed from the digits of the set {2, 3, 4, 5, 6, 7, 8, 9}?, if No repetitions are allowed and the number must be divisible by 3.
Click here to see answer by Alan3354(69443) |
Question 1075443: Women have pulse rates that are normally distributed with a mean of
80.280.2
beats per minute and a standard deviation of
10.910.9
beats per minute. Complete parts a through c below.
a. Find the percentiles
Upper P 1P1
and
Upper P 99P99.
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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