Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 859055: Roll 2 fair 4 sided die. What is the probability that the sum is 5? I know several students who say their calculus teacher told them the answer was 1/5 and that there were 20 outcomes. I disagree and say P(sum = 5) = 1/4. Who is correct?
Click here to see answer by ewatrrr(24785)   |
Question 859026: In a study of breath metabolites, a patient was observed for 30 days. His ammonium concentration was found to be normally distributed with an average of 491 and a standard deviation of 119.
(a) What is the probability that on a given day his ammonium concentration will be more than 292? [3]
(b) What is the probability that on a given day his ammonium concentration will be less than 649? [3]
(c) What is the probability that the ammonium concentration will be between 292 and 649?
Click here to see answer by ewatrrr(24785) |
Question 859057: The highest degrees of the faculty of a private college include 231 Ph.D.'s, 17 ED.D's, 71 M.A.'s, 22 M.S.'s, 25 B.A.'s, 14 B.S.'s, and 13 with other qualifications. Suppose one faculty member is chosen randomly. What is the probability that this person's highest degree will:
Be a Ph.D.?
Be a Masters's?
Be a B. S?
Click here to see answer by ewatrrr(24785) |
Question 859089: Probability of someone reading current issue of Sports Illustrated is .5, the probability that someone is reading Time is .4, and these two events are independent of each other. What is the probability that:
1. Both magazines are being read?
2. Neither of the two is being read?
Click here to see answer by edjones(8007)  |
Question 859072: At a local library, the probability that someone is reading the current issue of Sports Illustrated is .5, the probability that someone is reading Time is .4, and these two events are independent of each other. What is the probability that:
1. Both of the magazines are being read?
2. Neither of the two is being read?
Click here to see answer by edjones(8007) |
Question 859132: A random variable follows a binomial distribtuion with a probability of success equal to 0.45. For n = 11, find
a. the probability of exactly 1 success
b. the probability of 4 or fewer successes
c. the probablity of at least 8 successes
Click here to see answer by ewatrrr(24785) |
Question 859191: The probability that a student guesses the correct answer to a four choice multiple choice question is P(correct)=0.25. How many correct answers should a student expect to guess on a test with 76 four choice multiple choice questions?
Click here to see answer by ewatrrr(24785) |
Question 859202: A random variable follows a binomial distribution with a probability of success equal to 0.45. For n=11, find the probability of 1 success, probability of fewer than 4 successes, probability of at least 8 successes.
Click here to see answer by ewatrrr(24785) |
Question 859129: A random variable follows a binomial distribtuion with a probability of success equal to 0.45. For n = 11, find
a. the probability of exactly 1 success
b. the probability of 4 or fewer successes
c. the probablity of at least 8 successes
Click here to see answer by ewatrrr(24785) |
Question 859244: The running time for movie a is 33 minutes more than twice the running time for movie B. If the running time for movie A is subtracted from triple the running time from movie B, the result is 57 minutes. Find the running time of each movie.
Click here to see answer by ewatrrr(24785) |
Question 859349: Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap with a standard deviation of 2.28 seconds. The distribution of her race times is normally distributed.
c.)The middle 80% of her laps are from _______ seconds to _______ seconds.
Click here to see answer by stanbon(75887) |
Question 859446: Suppose a college scholarship committee must select two students to receive a
scholarship for the next academic year. The committee receives ten applications for the scholarships – six from male students and four from female students. Suppose the applicants are all equally qualified, so that the selections can be described as randomly made. Let x be the number of female students who receive a scholarship.
Click here to see answer by ewatrrr(24785) |
Question 859502: please help me solve this question: Suppose your vehicle is licensed in a state that issues license plates that consist
of three digits ( between 0 and 9 ) followed by three letters ( between A and Z ). If a
license number is selected randomly, what is the probability that yours is the one
selected?
Click here to see answer by Fombitz(32388)  |
Question 859505: Suppose your vehicle is licensed in a state that issues license plates that consist
of three digits (between 0 and 9 ) followed by three letters (between A and Z ). If a
license number is selected randomly, what is the probability that yours is the one
selected?
Click here to see answer by Fombitz(32388) |
Question 859588: Suppose you have a large, well-mixed barrel of 70 black balls, 200 blue balls, and 120 red balls. Compute the probabilities of randomly drawing the following from the barrel:
p [black then black then red] without replacement.
Click here to see answer by Fombitz(32388) |
Question 859797: I have a probability question that i do not understand how to do.
Client query requests arrive independently at a database server at an average rate of 4.5 queries per minute. For a randomly selected one-minute interval, what is the probability that exactly 3 query requests will arrive?
Click here to see answer by ewatrrr(24785) |
Question 859795: I have a question i cannot understand. here is my question
Suppose that 40% of the CPU requests by processes running on a large computer system are for I/O. The requests are random and independent of each other. What is the probability that among the next 7 CPU requests, exactly 3 will be for I/O?
any help would be greatly appreciated
Click here to see answer by ewatrrr(24785) |
Question 859807: A club with 27 members is voting on a proposal. A group of 4 has decided to vote in favor of the proposal while each of the rest of the members vote independently with a chance of 47% in favor of the proposal. What are the chances that the proposal will get the majority vote?
Click here to see answer by ewatrrr(24785) |
Question 859818: About 4% of the scientists in the National Academy of Sciences believe in PSI (parapsychology such as psychokinesis, telepathy, and astral projection). At a convention 157 members show up. Let X be the number of scientists at the convention who believe in PSI. You may assume for the following questions that X is binomially distributed with parameters n=157 and p=0.04.
(a) How many scientists at the convention do you expect do believe in PSI? Answer
(b) What are the chances that none of the scientists at the convention believes in PSI? Answer
(c) What are the chances that at least 4 scientists at the convention believe in PSI? Answer
(d) What is the standard deviation of X? Answer
Click here to see answer by ewatrrr(24785) |
Question 859821: Let X be the lifetime of an electronic device. It is known that the average lifetime of the device is 755 days and the standard deviation is 95 days. Let xˉ be the sample mean of the lifetimes of 204 devices. The distribution of X is unknown, however, the distribution of xˉ should be approximately normal according to the Central Limit Theorem. Calculate the following probabilities using the normal approximation.
(a) P(xˉ≤749)= Answer
(b) P(xˉ≥768)= Answer
(c) P(746≤xˉ≤768)=
Click here to see answer by ewatrrr(24785) |
Question 859820: Suppose that the proportion of voters who will vote for Mr. Smith is p=0.44. Let pˆ be the sample proportion of voters for Mr. Smith in a random sample of size 111. Find the following probabilities. Do not use the normal approximation.
(a) P(pˆ≤0.51)= Answer
(b) P(0.36≤pˆ≤0.74)= Answer
(c) Find the mean of pˆ. Answer
(d) Calculate the standard deviation of pˆ.
Click here to see answer by ewatrrr(24785) |
Question 859825: A sample of data has a standard deviation of 79. If you were to multiply all of the scores in the data set by factor of 68, what would the new standard deviation be?
How do I figure this problem? Do you multiply the standard deviation by the factor of 68?
Click here to see answer by Theo(13342)  |
Question 859814: I asked this question already, but i never got an email back that it was submitted, so here is the question again. i have not stopped trying to figure it out, but im still confuse.
In a large shipment of boxes of cat food, 30% of the boxes are lightweight (below the marked label weight). Suppose that a random sample of boxes are drawn and weighed until 1 lightweight box is found. What is the probability that the sample size will be exactly 4?
Click here to see answer by richwmiller(17219)  |
Question 859814: I asked this question already, but i never got an email back that it was submitted, so here is the question again. i have not stopped trying to figure it out, but im still confuse.
In a large shipment of boxes of cat food, 30% of the boxes are lightweight (below the marked label weight). Suppose that a random sample of boxes are drawn and weighed until 1 lightweight box is found. What is the probability that the sample size will be exactly 4?
Click here to see answer by ewatrrr(24785) |
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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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