Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1137977: A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 2 points with 99 % confidence assuming s equals 19.2 based on earlier studies? Suppose the doctor would be content with 90 % confidence. How does the decrease in confidence affect the sample size required?
A 99% confidence level requires....BLANK....subjects?
Click here to see answer by Boreal(15235)   |
Question 1137935: The lengths of lumber a machine cuts are normally distributed with a mean of 93 inches and a standard deviation of 0.6 inch.
(a) What is the probability that a randomly selected board cut by the machine has a length greater than 93.24 inches?
(b) A sample of 44 boards is randomly selected. What is the probability that their mean length is greater than 93.24 inches?
Click here to see answer by Boreal(15235) |
Question 1137984: 110 parts made from alloy 1 ad 50 parts made from alloy 2 were subjected to stress tests. 16 parts of alloy 1 and 13 parts of alloy 2 did not pass the test. Can we reject the hypothesis that the proportion of nonpassing parts from alloy 1 is at least as large as the proportion of nonpassing parts from alloy 2 at a=0.01? Assume independent samples.
q1. for the hyphotesis test stated above in terms of alloy 1-alloy 2
what is the decision rule? if the hypothesis is one tailed
reject Ho if z stat < ___________
what is the test statistic? ____________
a2. Find the 80% confidence interval in terms of alloy 2- alloy 1
left endpoint: _________ right endpoint:______________
Click here to see answer by Boreal(15235) |
Question 1138065: A security specialist is disigning a code for a security system, The code will use only the letters A, B, C. If the specialist wants the probability of guessing the code at randometo be less than 0.001, how long must the code be?
.
.
.
the answer must be 7 ???
Click here to see answer by ikleyn(52756)  |
Question 1138060: A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Use the 0.01 significance level.
H0: μ ≤ 10
H1: μ > 10
(a) Is this a one- or two-tailed test?
Click here to see answer by Theo(13342)  |
Question 1138089: Consider a collection of envelopes consisting of 2 red envelopes, 1 blue envelope, 3 green envelopes, and 3 yellow envelopes. If two envelopes are selected at random, with replacement, determine the probability that both are red envelopes.
The probability that both envelopes are red is ?
(Type an integer or a simplified fraction.)
Click here to see answer by VFBundy(438)  |
Question 1138074: An identification code is to consist of 4 letters followed by 3 digits. Determine the following.
a) How many different codes are possible if repetition of letters is permitted, repetition of numbers is not permitted, and the first three entries must all be the same letter?
b) How many different codes are possible if the first letter must be an A, B, C, or D and repetition is not permitted?
Click here to see answer by VFBundy(438) |
Question 1138104: Suppose that you spin the double wheel pictured to the right. Assuming that the wheels are independent and each outcome is equally likely, determine the probability that you get red on both wheels.
A spinner consists of two concentric unequal circular wheels with the smaller one placed on the larger. The smaller wheel is divided into 8 equal sectors. The number of sectors for each color is as follows, where the label is listed first and the number of sectors is listed second: red, 3; blue, 2; yellow, 1; grey, 2. The larger wheel is divided into 12 equal sectors. The number of sectors for each color is as follows, where the label is listed first and the number of sectors is listed second: red, 4; blue, 2; yellow, 2; grey, 2; green, 2.
B=blue
G=green
Y=yellow
R=red
g=grey
The probability is
. (Type an integer or a simplified fraction.)
Click here to see answer by jim_thompson5910(35256) |
Question 1138107: At a computer store, a customer is considering 7 different computers, 10 different monitors, 9 different printers and 4 different scanners. Assuming that each of the components is compatible with one another and that one of each is to be selected, determine the number of different computer systems possible.
Click here to see answer by ikleyn(52756) |
Question 1138101: Angel Sanchez has 6 books on a shelf; 3 mysteries, 2 science fiction books, and 1 biography. Determine the probability of each situation below.
a) Selecting one mystery and then one science fiction, with replacement
b) Selecting one mystery and then one science fiction, without replacement
a) The probability of selecting one mystery and then one science fiction, with replacement, is
(Type an integer or a simplified fraction.)
Click here to see answer by Boreal(15235) |
Question 1138142: Four factories are to be randomly selected from a list of eleven factories for a full health and safety inspection
i.Calculate the number of ways that four factories can be selected.
ii.Two of the factories have the same owner. Calculate the probability that both of these factories with the same owner will be included in the inspection.
Click here to see answer by VFBundy(438) |
Question 1138185: Joe is playing a game of chance at the hibiscus festival, costing $1 for each game. In the game two fair dice are rolled and the sum of the numbers that turned up is found. If the sum is seven, then Joe wins $5. Otherwise loses his money. Joe play the game 15 times. Find his expected profit or lose.
Click here to see answer by greenestamps(13195)  |
Question 1138185: Joe is playing a game of chance at the hibiscus festival, costing $1 for each game. In the game two fair dice are rolled and the sum of the numbers that turned up is found. If the sum is seven, then Joe wins $5. Otherwise loses his money. Joe play the game 15 times. Find his expected profit or lose.
Click here to see answer by ikleyn(52756) |
Question 1138187: he weight of potatoes produced by one particular farm are found to be approximately normally distributed, with the mean weight of 147 g and a standard deviation of 23g.
What proportion of the potatoes produced by this farm will weigh less than 160 g ?
and Of all the potatoes produced on the farm, 5% are considered too light. What is the maximum weight that will be considered too light?
Click here to see answer by Boreal(15235) |
Question 1138188: An airline company is considering a new policy of booking as many as 167 persons on an airplane that can seat only 170. (Past studies have revealed that only 90% of the booked passengers actually arrive for the flight.) Estimate the probability that if the company books 167 persons. not enough seats will be available.
Click here to see answer by greenestamps(13195) |
Question 1138212: Suppose it costs $15 to roll a pair of dice. You get paid 2 dollars times the sum of the numbers that appear on the dice. If the cost of the game is not taken into consideration, what is the expected value of the game? Is it a fair game?
Click here to see answer by ikleyn(52756) |
Question 1138232: The amounts of electricity bills for all households in a city have a skewed probability distribution with mean of $140 and a standard deviation of $30. Find the probability that the mean amount of electric bills for a random sample of 75 households selected from the city will be within $6 of the population mean.
Click here to see answer by Theo(13342) |
Question 1138273: Two balls are drawn in succession out of a box containing 5 red and 3 white balls. Find the probability that at least 1 ball was red, given that the first ball was
(A) Replaced before the second draw.
(B) Not replaced before the second draw.
I tried utilizing the formula P(AnB)=P(A)P(BIA)=P(B)P(AIB)
I have no clue how to solve with the given variable of a different number of white balls.
Click here to see answer by jim_thompson5910(35256) |
Question 1138260: A construction company is planning to bid on a building contract. The bid costs the company $1900. The probability that the bid is accepted is 1/4. If the bid is accepted, the company will make $15,600 minus the cost of the bid.
What is the expected value in this situation?$(Round to the nearest dollar.)
Click here to see answer by ikleyn(52756) |
Question 1138277: It is estimated that there are 22 deaths for every 10 million people who use airplanes. A company that sells flight insurance provides $100,000 in case of death in a plane crash. A policy can be purchased for $1. Calculate the expected value and thereby determine how much the insurance company can make over the long run for each policy that it sells.
The expected value is $
(Round to the nearest cent.)
Click here to see answer by Theo(13342) |
Question 1138263: A store specializing in mountain bikes is to open in one of two malls. If the first mall is selected, the store anticipates a yearly profit of $ 675,000 if successful and a yearly loss of $ 225,000 otherwise. The probability of success is 1/2. If the second mall is selected, it is estimated that the yearly profit will be $ 450,000 if successful; otherwise, the annual loss will be $ 135,000. The probability of success at the second mall is 3/4.
a. What is the expected profit for the first mall?
b. What is the expected profit for the second mall?
Click here to see answer by Boreal(15235) |
Question 1138320: Data was collected on the average winter temperature and the number of days with snow of a random group
of cities in the United States. Identify the correlation you would expect to see between the
average winter temperature and the number of days with snow.
a. no correlation c. positive correlation
b. constant correlation d. negative correlation
Click here to see answer by Boreal(15235) |
Question 1138420: From an unlimited supply of 14 different books, it is desired to make up parcels containing r books, all different. For what value of r will there be as many packets as possible, all with different contents?
I'm not quite sure what this question means!
Click here to see answer by ikleyn(52756) |
Question 1138417: Hi! I'm stumped on the second part of this question. Could someone explain the steps for me please?
The mean travel time to work in the US is 25.1 minutes with a standard deviation of 6.4 minutes.
a. Find the probability that a random sample of 36 people will have a mean travel time greater than 23 minutes. (I got 0.9755)
b. Find the 90th percentile of the sample mean for those 36 people. (The answer key says it's 26.467, but I cannot figure out the steps!)
Thanks in advance. :)
Click here to see answer by Boreal(15235) |
Question 1138410: On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below.
x 0 1 2 3 4 5 Total
P(x) .05 .44 .30 .17 .03 .01 1.00
(a) Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard deviation to 3 decimal places.)
I know that the total is 1.0 to find the mean I divided by number of sets which would be 5. I assumed it would be .20. The homework help I have is saying it is incorrect. I am very unsure and thought I was headed in the right direction. The single digits are above each set of numbers but even though it looks right how I typed it for you to read...it doesn't come out that way on the preview. So for example 0 has the .05 under it. If you slide all the single digits representing each set of numbers above the decimal numbers. Hope that part makes sense. Total should be above the 1.00. It isn't showing up correctly on the preview for some reason.
Please help and thanks.
Tonya
Click here to see answer by Boreal(15235) |
Question 1138418: There are 8 swimmers in a race. In how many ways can they finish if there are no dead heats and the swimmer in Lane 2 finished after the swimmer in Lane 5?
I'm not quite sure how to solve this. Any help would be appreciated
Click here to see answer by ikleyn(52756) |
Question 1138409: Using diaries for many weeks, a study on the lifestyles of visually impaired students was conducted. The students kept track of many lifestyle variables including how many hours of sleep obtained on a typical day. Researchers found that visually impaired students averaged 9.25 hours of sleep, with a standard deviation of 2.51 hours. Assume that the number of hours of sleep for these visually impaired students is normally distributed.
Thirty percent of students get less than how many hours of sleep on a typical day?
answer:
hours
Click here to see answer by Boreal(15235) |
Question 1138446: An assembly line has two inspectors. The probability that the first inspector will miss a defective item is 0.08. If the defective item passes the first inspector, the probability that the second inspector will miss it is 0.02. What is the probability that a defective item will pass by both inspectors?
Click here to see answer by ikleyn(52756) |
Question 1138445: There are 70 employees in a certain firm. We know that 42 of these employees are male, 12 of these males are secretaries, and 26 secretaries are employed by the firm. What is the probability that an employee chosen at random is a secretary, given that the person is a male?
Click here to see answer by ikleyn(52756) |
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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, 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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