Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1132755: A binomial probability experiment is conducted with the given parameters. Use technology to find the probability of x successes in the n independent trials of the experiment. Use the Tech Help button for further assistance.
nequals8, pequals0.25, xless than4
Upper P left parenthesis Upper X less than 4 right parenthesis equals
_?
(Round to four decimal places as needed.)
Click here to see answer by rothauserc(4718)   |
Question 1132797: Computer keyboard failures are due to faulty electrical connects(12%)or mechanical defects (88%). Mechanical defects are related to loose keys (27% or improper assembly (73%). Electrical connect defect are caused by defective wires (35%), improper connections(13%), or poorly welded wires(52%).
(a) find the probability that the failure is due to loose keys.
(b) find the probability that a failure is due to improperly connected or poorly welded wires
Click here to see answer by ikleyn(52754)  |
Question 1132800: In an automated filling operation, the probability of an incorrect fill when the process is operated at a low speed is 0.001.When the process is operated at a high speed, the probability of an incorrect fill is 0.01. Assume that 30% of the containers? are filled when the process is operated at a high speed and the remainder are filled when the process is operated at a low speed.
(a) what is the probability of an incorrectly filled container?
(b) If an incorrectly filled container is found, what is the probability that it was filled during the high speed operation
Click here to see answer by ikleyn(52754) |
Question 1132814: In a chemical plant,24 holding tanks are used for final product storage.Suppose that six of the tanks contain material in which the viscosity exceeds the customer requirements.
(a) what is the probability that exactly one tank in the sample contains high - viscosity material?
(b)What is the probability that at least one tank in the sample contains high- viscosity material?
(c) In addition to the six tanks with high viscosity levels, four different tanks contain material with high impurities. What is the probability that exactly one tank in the sample contains high viscosity material and exactly one tank in the sample contain material with high impurities?
Click here to see answer by stanbon(75887) |
Question 1132829: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. With this information, answer the following questions.What proportion of light bulbs will last more than 61 hours?
(b) What proportion of light bulbs will last 52 hours or less?
(c) What proportion of light bulbs will last between 57 and 62 hours?
(d) What is the probability that a randomly selected light bulb lasts less than 46 hours
Click here to see answer by Theo(13342)  |
Question 1132791: "The University of Michigan study, collected survey data from parents on each child's sleep habits and asked both parents and teachers to assess behavioral concerns. About a third of the students studied were identified by parents or teachers as having problems with disruptive behavior or bullying. The researchers found that children who had behavioral issues and those who were identified as bullies were twice as likely to have shown symptoms of sleep disorders."
Multiple Choice: A friend of yours who read the article says, "The study shows that sleep disorders lead to bullying in school children." Is this statement justified? If not, how best can you describe the conclusion that can be drawn from this study?
(a) Yes, this is an observational study
(b) Yes, this is an experimental study
(c) No, this is an observational study
(d) No, this is an experimental study
Click here to see answer by Boreal(15235)  |
Question 1132787: A recent article in a college newspaper stated that college students get an average of 5.5 hrs of sleep each night. A student who was skeptical about this value decided to conduct a survey by randomly sampling 25 students. On average, the sampled students slept 6.25 hours per night. Identify which value represents the sample mean and which value represents the claimed population mean.
a) What is the sample mean? ______ hours
b) What is the claimed population mean? ________ hours
Click here to see answer by Boreal(15235) |
Question 1132785: In a class of 25 students, 24 of them took an exam in class and 1 student took a make-up exam the following day. The professor graded the first batch of 24 exams and found an average score of 74 points with a standard deviation of 8.9 points. The student who took the make-up the following day scored 64 points on the exam.
a) Does the new student's score increase or decrease the average?
b) The new average is:
(round to two decimal places)
c) Does the new student's score increase or decrease the standard deviation of the scores?
Click here to see answer by Boreal(15235) |
Question 1132754: Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 36 couples. Complete parts (a) through (c) below.
a. Find the mean and the standard deviation for the numbers of girls in groups of 36 births.
The value of the mean is muequals
_?
(Type an integer or a decimal. Do not round.)
Click here to see answer by Boreal(15235) |
Question 1132767: A salesperson has a 18% chance of making a sale to any customer called upon. If 6 calls were made what is the probability that exactly 3 sales were made? At most one sale was made? At least two sales were made? What is the mean and standard deviation of the number of sales ?
Click here to see answer by Boreal(15235) |
Question 1132870: A computer company advertises its computers in PC World, in PC Magazine, and on television. A survey of 780 customers finds that the numbers of customers who are familiar with the company's computers because of the different forms of advertising are as follows:
305, PC World
280, PC Magazine
310, television
140, PC World and PC Magazine
132, PC Magazine and television
120, PC World and television
83, all three sources
How many of the surveyed customers know about the computers because of:
(a) exactly one of these forms of advertising?
how many customers
(b) exactly two of these forms of advertising?
how many customers
(c) PC World and neither of the other two forms of advertising?
how many customers
Click here to see answer by ikleyn(52754) |
Question 1132890: In a true or false assignment of six questions you are obliged to get at least four correct to pass. If you guess the answer to the questions, what are the probabilities that:
a. you pass
b. you get at least 50% of the answers correct; and
c. you get no more than two correct?
Click here to see answer by Theo(13342) |
Question 1132889: A company applying for medical aid cover counts that 70 of its 140 male employees smoke. Of the 100 female employees, 20 smoke. What is the probability that an employee chosen at random:
a. is female and smokes
b. does not smoke; and
c. is male and smokes?
Click here to see answer by ikleyn(52754) |
Question 1132881: Assume that thermometer readings are normally distributed with a mean of 0degreesC and a standard deviation of 1.00degreesC. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.)
Between 1.50 and 2.25
The probability of getting a reading between 1.50 degrees C and 2.25 degrees C is?
Click here to see answer by rothauserc(4718) |
Question 1132891: A telephonist claims that he gets 10 calls every five minutes. To demonstrate this to his boss he makes a tape lasting five minutes. What are the probabilities that he gets:
a. no calls in the five minutes
b. less than three calls; and
c. exactly 10 calls?
Click here to see answer by Boreal(15235) |
Question 1132880: Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00degreesC. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Upper P 93, the 93 rd percentile. This is the temperature reading separating the bottom 93 % from the top 7 %.
The temperature for Upper P 93 is approximately ?
Click here to see answer by Boreal(15235) |
Question 1132964: A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupuncture. To determine whether acupuncture relieves migraine pain, researchers conducted a randomized controlled study where 89 females diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 43 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 46 patients in the control group received placebo acupuncture (needle insertion at non-acupoint locations). 24 hours after patients received acupuncture, they were asked if they were pain free. Results are summarized in the contingency table below (Allais, 2011).
(please round answers to within one hundredth of a percent)
Pain Free: Yes No Total
Treatment 10 33 43
Control 2 44 46
Total 12 77 89
1) What percent of patients in the treatment group were pain free 24 hours after receiving acupuncture? ________%
2) What percent of patients in the control group were pain free after 24 hours?
_________ %
3) Multiple Choice: At first glance, does acupuncture appear to be an effective treatment for migraines? Explain your reasoning.
(a) no, because there were fewer people in the treatment group
(b) yes, because more individuals in the treatment group were pain-free after 24 hours
(c) no, because more than half of the individuals in the treatment group still experience pain 24 hours later
(d) yes, because a higher percentage of individuals in the treatment group were pain-free after 24 hours
4) Multiple choice: Do the data provide convincing evidence that there is a real pain reduction for those patients in the treatment group? Or do you think that the observed difference might just be due to chance?
(a) Yes, 23% is much higher than 4%
(b) It is impossible to tell merely by comparing the sample proportions because the difference could be the result of random error in our sample
Click here to see answer by Boreal(15235) |
Question 1132968: A game costs $3.00 to play. A player can win $1.00, $5.00, $10.00, or nothing at all. The probability of winning $1.00 is 40%, $5.00 is 20%, and $10.00 is 5%. (correct your answer to 2 decimal places and do not use %)
a) What is the probability of winning nothing at all?
Click here to see answer by Boreal(15235) |
Question 1132974: ) Here we consider the sleep habits of med students versus non-med students. The study consists of the hours of sleep per day obtained from 24 med students and 32 non-med students. The summarized data is given in the table. Here, x¯ is the mean hours of sleep per day from each sample. The degrees of freedom (d.f.) that you must use in your calculations are given below.
Student Type n x¯ s2 s
Med (x1) 24 5.9 0.7921 0.89
Non-Med (x2) 32 6.5 1.8225 1.35
degrees of freedom: d.f. = 53
Test the claim that the mean hours of sleep for med and non-med students is different. Use a 0.05 significance level.
(a) Find the test statistic.
(b) Find the P-value.
Click here to see answer by Boreal(15235) |
Question 1132991: An elevator has a placard stating that the maximum capacity is 1256 lblong dash8 passengers. So, 8 adult male passengers can have a mean weight of up to 1256 divided by 8 equals 157 pounds. If the elevator is loaded with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 157 lb. (Assume that weights of males are normally distributed with a mean of 161 lb and a standard deviation of 25 lb.) Does this elevator appear to be safe?
The probability the elevator is overloaded is?
A.
Yes, 8 randomly selected people will always be under the weight limit.
B.
No, 8 randomly selected people will never be under the weight limit.
C.
Yes, there is a good chance that 8 randomly selected people will not exceed the elevator capacity.
D.
No, there is a good chance that 8 randomly selected people will exceed the elevator capacity.
Click here to see answer by Theo(13342) |
Question 1133027: Assume that females have pulse rates that are normally distributed with a mean of mu equals 72.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 66 beats per minute and 78 beats per minute.
The probability is?
b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean between 66 beats per minute and 78 beats per minute
The probability is?
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
A.
Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.
B.
Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.
C.
Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.
Your answer is correct.D.
Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.
Click here to see answer by Boreal(15235) |
Question 1132996: Suppose that in the maintenance of a large medical records file for insurance purposes the probability of an error in processing is 0.0010, the probability of an error in filing is 0.0009, the probability of an error in retrieving is 0.0012, the probability of an error in processing as well as filing is 0.0002, the probability of an error in processing as well as retrieving is 0.0003, the probability of an error in filing and retrieving is 0.0002 and the probability of an error in processing and filing as well as retrieving is 0.0001.
a) Obtain the probability of making at least one of these errors?
b) Obtain the probability of making none of these errors?
Click here to see answer by ikleyn(52754) |
Question 1133052: 2.1 Twelve Ketchup cans, all of the same size have lost their labels. It is known that 7 contain tomatoes and remaining contain corn. If 5 cans selected at random. What is the probability that 12- Marks
i-All contain tomatoes ii-Five or more contain tomatoes iii-Exactly three contain tomatoes’
Click here to see answer by Boreal(15235) |
Question 1133081: a) American households spent an average of about $52 in 2007 on Halloween merchandise such as costumes, decorations and candy. To see if this number had changed, researchers conducted a new survey in 2008 before industry numbers were reported. The survey included 1,500 households and found that average Halloween spending was $58 per household.
The sample mean is __________ dollars, while the claimed population mean is _________ dollars.
Click here to see answer by Theo(13342) |
Question 1133103: The test statistic of z equals 2.13 is obtained when testing the claim that p is greater than 0.2.
a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.
b. Find the P-value.
c. Using a significance level of alphaequals0.10, should we reject Upper H 0 or should we fail to reject Upper H 0?
a. This is a
right-tailed
test.
b. P-value = (Round to three decimal places as needed.)
Click here to see answer by Theo(13342) |
Question 1133166: Linear Interpolation and Animation
At the present time, a football player weighs 315 lb. There are 90 days until the player needs to report to spring training at a weight of 270 lb. The player wants to lose weight at a constant rate. That is, the player wants to lose the same amount of weight each day of the 90 days. What weight, to the nearest tenth of a pound, should the player attain in 35 days?
Click here to see answer by Boreal(15235) |
Question 1133166: Linear Interpolation and Animation
At the present time, a football player weighs 315 lb. There are 90 days until the player needs to report to spring training at a weight of 270 lb. The player wants to lose weight at a constant rate. That is, the player wants to lose the same amount of weight each day of the 90 days. What weight, to the nearest tenth of a pound, should the player attain in 35 days?
Click here to see answer by josgarithmetic(39613) |
Question 1133150: As manager of a company you know that the distribution of completion times for an assembly operation is a normal distribution with a mean of 120 seconds and a standard deviation of 20 seconds. If you have to award bonuses to the top 10% of your workers what time would you use as a cut-off time?
Click here to see answer by Boreal(15235) |
Question 1133149: Assume that matric marks are standardised to have a mean of 52% and a standard deviation of 16% (and assume that they have a normal distribution). In a class of 100 students estimate how many of them:
a. pass (in other words get more than 33.3%);
b. get A's (more than 80%); and
c. get B's (between 70% and 80%).
Click here to see answer by Boreal(15235) |
Question 1133173: Consider the following.
11, 26, 28, 2, 9, 14
Compute the population standard deviation of the numbers. (Round your answer to two decimal place.)
(a) Double each of your original numbers and compute the standard deviation of this new population. (Round your answer to two decimal place.)
(b) Use the results of part (a) and inductive reasoning to state what happens to the standard deviation of a population when each data item is multiplied by a positive constant k.
The standard deviation is multiplied by k.
The standard deviation is multiplied by -k.
The standard deviation is divided by k.
The standard deviation is unchanged.
The standard deviation is k.
Click here to see answer by Boreal(15235) |
Question 1133253: A test involving 340 men ages 20 to 24 found that their blood cholesterol levels had a mean of 189 mg/dl and a standard deviation of 44.7 mg/dl.
(a) Determine the z-score, to the nearest hundredth, for one of the men who had a blood cholesterol level of 216 mg/dl.
z216 =
(b) The z-score for one man was
−1.54.
What was his blood cholesterol level? Round to the nearest hundredth.
mg/dl
Click here to see answer by rothauserc(4718) |
Question 1133255: The table shown below lists the U.S. presidents and their ages at inauguration. President Cleveland has two entries because he served two nonconsecutive terms.
Washington 57 J. Adams 61
Jefferson 57 Madison 57
Jackson 61 J. Q. Adams 57
W. H. Harrison 68 Van Buren 54
Polk 49 Tyler 51
Fillmore 50 Taylor 64
Buchanan 65 Pierce 48
A. Johnson 56 Lincoln 52
Hayes 54 Grant 46
Arthur 50 Garfield 49
B. Harrison 55 Cleveland 47
Mckinley 54 Cleveland 55
Taft 51 T. Roosevelt 51
Harding 55 Wilson 56
Hoover 54 Coolidge 51
Truman 60 F. D. Roosevelt 51
Kennedy 43 Eisenhower 62
Nixon 56 L. B. Johnson 55
Carter 52 Ford 61
G. H. W. Bush 64 Reagan 69
G. W. Bush 54 Clinton 46
Obama 47
Find the mean and the population standard deviation of the ages. Round each result to the nearest tenth.
mean
population standard deviation
Click here to see answer by ikleyn(52754) |
Question 1133273: Kobe Bryant is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 83% of the time.
What is the probability of Kobe Bryant making all of his next 6 free throw attempts?
Click here to see answer by Boreal(15235) |
Question 1133274: Urn 1 contains 6 red balls and 5 black balls. Urn 2 contains 3 red balls and 3 black balls. Urn 2 contains 3 red balls and 3 black balls. Urn 3 contains 2 red balls and 6 black balls. If an urn is selected at random and a ball is drawn, find the probability it will be red
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, 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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, 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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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