Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1136995: A factory has seven machines- four of model A and three of model B. At any given moment, there is an 80% chance that a model A machine will be in use. Similarly, model B is used 60 % of the time. If the supervisor walks into the factory at a randomly selected time, what is the probability that two machines of model A and one of model B will be in use?
Click here to see answer by ikleyn(52752)   |
Question 1137026: The manufacturer of the disk drives in one of the well-known brands of microcomputers expects
2% of the disk drives to malfunction during the microcomputers warranty 17 period. Calculate the
probability that in a sample of 100 disk drives, that not more than three will malfunction
Click here to see answer by ikleyn(52752) |
Question 1136999: A machine has 7 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will be working.
Click here to see answer by ikleyn(52752) |
Question 1137054: If a procedure meets all the conditions of a binomial distribution except that the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on the xth trial is given by
P = p x - 1 , where p is the probability of success on any one trial. Assume that the probability of choosing a yellow piece of candy in a bag of hard candy is 0.204. Find the probability that the first yellow candy is found in the fifth inspected.
Click here to see answer by Boreal(15235)  |
Question 1137176: The probability that I find defective bulb in a supermarket display is 0.25. Suppose I inspect 16 bulbs,
a) What is the probability of finding 4 defective bulbs?
b) What is the probability of finding less than 2 defective bulbs?
c) How many bulbs do I expect to be defective?
d) Find the variance of defective bulbs
Click here to see answer by Fombitz(32388)  |
Question 1137165: Imagine that the number of hours one works per week is normally distributed, with an mean of 38 hours and standard deviation of 10 hours. 68% of people work between _______ hours and _______ hours per week.
Click here to see answer by Theo(13342)  |
Question 1136930: know that in 2006, there is 73% of adults used in internet. a random sample of 120 adults show that there are 95 of them used the internet. use 1% significance level and p-value method to test the claim that the current percentage of canadian adults who now use the internet has increased.
Click here to see answer by Boreal(15235) |
Question 1137037: The distribution of cholesterol levels in teenage boys is approximately normal with μ = 170 and σ = 30 (Source: U.S. National Center for Health Statistics). What percent of teenage boys have levels between 170 and 225?
Click here to see answer by Boreal(15235) |
Question 1137226: in a large city, the proportion of households having a dog is 0.4.The proportion of households having a cat is 0.3. The proportion of households having both a dog and a cat is 0.15. What is the proportion of households has neither a dog nor a cat?
Click here to see answer by jim_thompson5910(35256) |
Question 1137235: Please help me solve this equation.
according to a report by Scarborough Research, the average monthly household cellular phone bill is $73. Supposed monthly household cell phone bills are normally distributed with a standard deviation of $11.
a. what is the probability that a randomly selected monthly cell phone bill is less than $95?
b. a. what is the probability that a randomly selected monthly cell phone bill is between 62 and $84?
Click here to see answer by Boreal(15235) |
Question 1137245: A city council consists of 10 members. Four are Republicans, three are Democrats, and three are Independents. If a committee of three is to be selected, find the probability of selecting:
a. All Republicans
b. All Democrats
Click here to see answer by Boreal(15235) |
Question 1137288: Here's my dilemma, I can accept a $ 1500 bill or play a game ten times. For each roll of the single die, I win $700 for rolling 1 or 2; I win $400 for rolling 3; and I lose $600 for rolling 4, 5, or 6. Based on the expected value, I should accept the $1500 bill.
A.
The statement does not make sense because the expected value after ten rolls is ____dollars, which is greater than the value of the current bill.
B.The statement makes sense because the expected value after ten rolls is ___ dollars, which is less than the value of the current bill.
Click here to see answer by rothauserc(4718)  |
Question 1137293: A random sample is selected from a normal population with a mean of u=40 and a standard deviation of o=10. After a treatment is administered to the individuals in the sample, the sample mean is found to be M=46.
How large a sample is necessary for this sample mean to statistically significant? Assume a two-tailed test with a=.05.
If the sample mean were M=43 what sample size is needed to be significant for a two-tailed test with a=.05?
Click here to see answer by jim_thompson5910(35256) |
Question 1137290: On a dry surface, the braking distance (in meters) of a certain car is a normal distribution with a mean of 45.1 and a standard deviation of 0.5.
a)find the breaking distance that corresponds to z=1.8
b)find the breaking distance that represents the 91st percentile
c)find the z-score for a breaking distance of 46.1m
d)find the probability that the breaking distance is less than or equal to 45m
e)find the probability that the breaking distance is greater than 46.8m
Click here to see answer by Boreal(15235) |
Question 1137234: A manufacturing process produces 6.2% defective items. What is the probability that in a sample of 48 items:
a. 11% or more will be defective?(Round the z-value to 2 decimal places and the final answer to 4 decimal places.)
b. less than 2% will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.)
Click here to see answer by Boreal(15235) |
Question 1137313: a certain plane has two engines. The probability that an engine will fail in any given mission is 0.03 and the plane can return to base provided at least one engine is operable. Assuming the plane does not encounter any other difficulties on a mission, what is the probability the plane will return to base?
Click here to see answer by ikleyn(52752) |
Question 1137329: An employee is selected from a staff of 10 to supervise a certain project by means of a tag selected at random from a box containing 10 tags numbered from 1 to 10. Find the formula for the probability distribution of X representing the number on the tag that is drawn. What is the probability that the number drawn is less than 4?
ANS. f(x)=1/10, for x=1,2,...,10, and f(x)=0 elsewhere;3/10
Click here to see answer by ikleyn(52752) |
Question 1137335: If the probability that a fluorescent light has a useful life of at least 800 hours is 0.9, find the probabilities that among 20 such lights
(a) exactly 18 will have a useful life of at least 800 hours;
(b) at least 15 will have a useful life of at least 800 hours
ANS: (a) 0.2852 ; (b)0.9887
Click here to see answer by VFBundy(438)  |
Question 1137371: Hi! I'm struggling with one of my homework questions, perhaps because of how it's worded. Could someone help me out?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.1 years, and standard deviation of 0.6 years.
If 24 items are picked at random, 3% of the time their mean life will be less than how many years?
Give your answer to one decimal place.
Thanks in advance!
Click here to see answer by Theo(13342) |
Question 1137391: The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a random variable X having a continuous uniform distribution with A = 7 and B = 10. Find the probability that on a given day the amount of coffee dispensed by this machine will be
(a) at most 8.8 liters;
(b) more than 7.4 liters but less than 9.5 liters;
(c) at least 8.5 liters.
Please show he solution on how you get it. Thanks.
Click here to see answer by ikleyn(52752) |
Question 1137297: A student sits a true/false test with 10 questions and he guesses everyone. How do you describe the probability distribution for the number of correct guesses and also present the probability distribution in a table
Click here to see answer by VFBundy(438) |
Question 1137421: there are 37 chocolates in a box,all identically shaped. There are 9 filled with nuts, 13 filled with caramel, and 15 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting 2 solid chocolates in a row
Click here to see answer by Edwin McCravy(20054)  |
Question 1137498: A target with a diameter of 56 cm has 4 scoring zones formed by concentric circles. The diameter of the center circle is 8 cm. The width of each ring is 8 cm. A dart hits the target at a random point. Find the probability that it will hit a point in the yellowyellow region.
Click here to see answer by ikleyn(52752) |
Question 1137440: An elevator can hold a maximum of 1,500 pounds. Eight people need to use the elevator. Bill had some measures from the data set of how much each person weighed. Which measure would be most useful to determine if the people can safely use the elevator?
A. mean
B. median
C. mode
D. interquartile range
Click here to see answer by greenestamps(13195)  |
Question 1137508: Q.2 By using Normal Distribution, solve the following:
a) A certain type of battery lasts, on average, 3.0 years with a standard deviation of 0.5 years. Assuming that the battery lives are normally distributed, find the probability that a given battery will last less than 2.3 years.
b) An electrical firm manufactures light bulbs that have a life, before burn-out, that is normally distributed with mean equal to 800 hours and a standard deviation of 40 hours. Find the probability that a bulb burns between 778 and 834 hours.
Click here to see answer by jim_thompson5910(35256) |
Question 1137553: Naval intelligence reports that 6 enemy vessels in a fleet of 21 are carrying nuclear weapons. If 8 vessels are randomly targeted and destroyed, what is the probability that more than 1 vessel transporting nuclear weapons was destroyed? Express your answer as a fraction or a decimal number rounded to four decimal places.
Click here to see answer by Theo(13342) |
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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, 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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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