Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1026779: Hello,
I am having some trouble identifying independent and dependent events when given a situation.
One question I have is: Stress causes the body to produce higher amounts of acid, which can irritate already-existing ulcers. Stress, however, does not cause stomach ulcers. Is this even independent or dependent?
Also, how do I tell the difference between independent and dependent events and mutually exclusive events? I just having trouble in this area! Any help you could give me would be greatly appreciated! Thank you so much!!
Click here to see answer by robertb(5830)   |
Question 1026170: An urn contains 5 red balls and 3 green balls. A ball is drawn randomly and 6 more of the same color are added to the urn. Then another ball is drawn. Let R1= event ball # is red. G1= even the ball # is green. Find Pr(R1|R2)
Click here to see answer by robertb(5830) |
Question 1026855: A toll free number is available from 9AM to 9PM to your customers to register complaints about a product purchased from your company. Past history indicates that an average of 0.40 is received per minute. What is the probability that during a one minute period
a. Zero phone calls will be received?
b. Three or more calls will be received.
c. What is the maximum number of phone calls that will be received in a one minute period of 99.99% of the time.
Click here to see answer by mathmate(429)  |
Question 1026798: A muffler company advertises that you will receive a rebate if it takes longer than 30 minutes to replace a muffler. Experience has shown that the time taken to replace a muffler is approximately normally distributed with a mean of 25 minutes and a standard deviation of 2.5 minutes.
a) What proportion of mufflers take between 22 and 26 minutes to replace?
b) What should be the rebate time of 30 minutes be changed to if the company wishes to provide only 1% of customers with a rebate?
Click here to see answer by mathmate(429) |
Question 1026939: If a fair coin is tossed 5 times, what is the probability that the coin will land face up at least twice?
I attempted this problem many times and always ended up with a large sheet of paper with many scribbles on it. I think that there are 32 total possible outcomes but I'm not sure how to calculate the probability of "at least" questions?
Click here to see answer by richard1234(7193)  |
Question 1026958: Suppose E and F are events in a sample space. Given that Pr(E)=2/3 and Pr(F)=1/3, if Pr (E|F)= 1/2, calculate Pr(F|E).
I tried to solve this problem and got the answer 1/4 for Pr (F|E). Let me know if this is right!! Thank you
Click here to see answer by stanbon(75887) |
Question 1026945: A coin is tossed 4 times and the sequence of heads and tails is observed.
A: How many different outcomes are possible.
B: How many different outcomes have exactly 3 tails?
C: How any different outcomes have at least one tail?
Click here to see answer by stanbon(75887) |
Question 1026961: A fair die is rolled and a fair coin is tossed. The random variable X is defined as the number obtained on the die minus the number of heads (0 or 1) resulting on the coin. Calculate and write down a probability table for X.
Click here to see answer by robertb(5830) |
Question 1026946: There are 5 finalists A, B, C, D, E, in a lottery drawing. 3 of them are to be selected to win $10,000 prizes.
A. What is the sample space for this experiment?
B. Describe the event C and E win 10,000 prizes as a subset of the sample space.
C. Describe the event "neither A nor B wins a $10,000 prize".
Click here to see answer by robertb(5830) |
Question 1026963: A fair die is rolled and a fair coin is tossed. The random variable X is defined as the number obtained on the die minus the number of heads (0 or 1) resulting on the coin. Calculate as a fraction in lowest terms Pr(X
Click here to see answer by Fombitz(32388)  |
Question 1027043: Shower temperature at the Oxnard Health Club showers is regulated automatically. The heater kicks in when the temperature falls to 99ºF and shuts off when the temperature reaches 107ºF. Water temperature then falls slowly until the heater kicks in again. At a given moment, the water temperature is a uniformly distributed random variable U(99,107).
Click here to see answer by ikleyn(52750)  |
Question 1026941: If a fair coin is tossed 5 times, what is the probability that the coin will land face up at least twice?
I attempted this problem many times and always ended up with a large sheet of paper with many scribbles on it. I think that there are 32 total possible outcomes but I'm not sure how to calculate the probability of "at least" questions?
*sorry for the double submission, i entered the wrong email*
Click here to see answer by Fombitz(32388) |
Question 1026960: I have a fan that has 4 light bulbs installed ... 60 watt bulb has a probability of failure that equals 0.2, 40 watt bulbs have a probability of failure that equals .1, IF I have 1 60 watt bulb and 3 40 watt bulbs, what is the probability that I will not be in the dark. round to 5 significant figures.
.1 x .1 x .1 = .001
1-.001 = .999
1-0.2 = .8
.999 + 1.799
Click here to see answer by Fombitz(32388) |
Question 1027044: in a sample of 1200 adults, 200 dine out more than once a week. 2 adults are selected at random without replacement. Assuming the sample is representative of all adults, what is the probability that both adults dine out more than once a week?
Click here to see answer by mathmate(429) |
Question 1025962: Hello, I hope you can help me.
This is a real issue, but I believe algebra can solve my question.
I have a group of 80 participants, coming from 20 different places. They have to be divided into 8 reunion groups of roughly equal size. In each group the number of people from the same place has to be kept to a mininum. It is impossible to know each participant's availability, so each has to be given a certain number of reunion each so they could find one that fits their planning.
I estimated each participant had to be presented at least 3 options and each option would have to presented to at least 12 participants. But I believe algebra will give me a much more definite answer to that.
Thank you
Kasper
Click here to see answer by richard1234(7193) |
Question 1027105: In a city school, 70% of students have blue eyes, 45% have dark hair, and 30% have blue eyes and dark hair. What is the probability (rounded to the nearest whole percent) that a randomly selected student has dark hair, given that the student has blue eyes?
Click here to see answer by mathmate(429) |
Question 1027094: The brand name of Domino's has a 75% recognition rate (each consumer is independent from each other). Assume 12 randomly selected consumers are surveyed. Use this situation to answer the questions below.
(a) Recognizing that this is a binomial situation, give the meaning/values of S, F, n, p, and q.
S is: n =
F is: p =
q =
(b) Construct the complete binomial probability distribution for this situation in a table at the right.
(c) Find the probability all twelve consumers recognize the Domino's brand.
(d) Find the probability less than five consumers recognize the Domino's brand.
(e) Find the mean and standard deviation of this binomial probability distribution.
(f) By writing a sentence, interpret the meaning of the mean found in (e).
(g) Would it be unusual for exactly six of the twelve consumers to recognize the Domino's brand? Explain your answer.
Click here to see answer by mathmate(429) |
Question 1027145: Which of the following best describes the difference between the interpretation of the correlation coefficient and the beta coefficient for a regression equation expressing the relationship between variables X and Y?
A)The beta coefficient represents the linear relationship between X and Y, whereas the correlation coefficient represents the percent variability in Y explained by X
B) The beta coefficient represents the difference between observed and expected values of Y, whereas the correlation coefficient represents the linear relationship between X and Y.
C) The beta coefficient predicts increases or decreases in Y with increases or decreases in X, whereas the correlation coefficient provides a unit-free measure of the strength of the relationship.
D) The correlation coefficient predicts increases or decreases in Y with increases or decreases in X, whereas the beta coefficient provides a unit-free measure of the strength of the relationship.
Click here to see answer by robertb(5830) |
Question 1027143: Which of the following correctly describes the interpretation of an r2 statistic of 0.673 in a model relating BMI (kg/m2) (X) to frequency of hospital visits (Y)?
A) There is a high degree of correlation between BMI and frequency of hospital visits.
B) There is a strong, positive relationship between BMI and frequency of hospital visits
C) 67.3% of hospital visits are due to elevated levels of BMI
D) 67.3% of the variation in frequency of hospital visits is explained by BMI
Click here to see answer by stanbon(75887) |
Question 1027144: Which of the following is the correct set of null and alternative hypotheses for a t test regarding the regression equation between variables X and Y?
A) Ho: r=0, Ha: r≠0
B) Ho: ρ=0, Ha: ρ≠0
C) Ho: b=0, Ha: b≠0
D) Ho: β=0, Ha: β≠0
Click here to see answer by robertb(5830) |
Question 1027148: Which of the following is false concerning the interpretation of a regression equation expressing the relationship between variables X and Y?
A) The beta coefficient predicts a per unit increase in Y based on X
B) The regression equation is typically adapted to populations beyond the observed range for X
C) Regression equations are strongly influenced by the presence of outliers
D) Regression equations only describe linear relationships between two variables
Click here to see answer by robertb(5830) |
Question 1027150: Which of the following most accurately describes a correlation coefficient of 0.83 between height (inch X) and weight (lbs Y)?
A) 83% of the variation in weight can be explained by height
B) There is a strong, positive association between height and weight
C) There is an association between height and weight
D) 83% of the variation in height can be explained by weight
Click here to see answer by robertb(5830) |
Question 1027091: 2. The incomplete table at right is a discrete random variable x's probability distribution, where x is the number of courses taken by randomly selected undergraduate student. Answer the following:
Table : > http://prntscr.com/alqvcp
(a) Determine the value that is missing in the table.
(b) Explain the meaning of P(x >2) as it applies to the context of this problem.
(c) Determine the value of P(x ≤ 3):
(d) Find the probability that x is at least 2.
(e) Find the mean (expected value) and standard deviation of this probability distribution.
Click here to see answer by robertb(5830) |
Question 1027090: 1. Identify each of the random variables described below as discrete or continuous.
a. The number of bikers in Kansas.
b. The number of pepsi can consumed by a random person over a month
c. The running time of a randomly selected movie
Click here to see answer by robertb(5830) |
Question 1026843: A random sample of 200 adults are classified be-
low by sex and their level of education attained.
Education Male Female
Elementary 38 45
Secondary 28 50
College 22 17
If a person is picked at random from this group, find
the probability that
(a) the person is a male, given that the person has a
secondary education;
70 Chapter 2 Probability
a student from the class and find the probabilities of
the following events.
(a) A person enrolled in psychology takes all three sub-
jects.
(b) A person not taking psychology is taking both his-
tory and mathematics.
Click here to see answer by robertb(5830) |
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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
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