Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1059711: A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study, 373 babies were; born, and 203 of them were girls. Use the sample data with a 0.01 significance level to test the claim that with this method, the probability of a baby being a girl is greater than 0.5. Use this information to answer the following questions
Click here to see answer by rothauserc(4718)  |
Question 1059761: A researcher wishes to estimate, with 95% confidence, the population proportion of adults who say chocolate is their favorite ice cream flavor. Her estimate must be accurate within 5% of the population proportion.
(a) No preliminary estimate is available. Find the minimum sample size needed.
(b) Find the minimum sample size needed, using a prior study that found that 18% of the respondents said their favorite flavor of ice cream is chocolate.
(c) Compare the results from parts (a) and (b).
Click here to see answer by stanbon(75887) |
Question 1059759: A doctor wants to estimate the HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the HDL cholesterol within 2 points with 99% confidence assuming σ=10.2? Suppose the doctor would be content with 95 % confidence. How does the decrease in confidence affect the sample size required?
Click here to see answer by Boreal(15235)  |
Question 1059827: Horse Number. Odds
1. 18 to 1
2. 3 to 2
3. 2 to 1
4. 7 to 5
5. 1 to 1
What would be the probability of winning for each of these horses? (Enter the probabilities as fractions.) Note: The odds stated are for the horse's losing. Thus,
P(horse 1 losing) = 18/18 + 1=18/19
so
P(horse 1 winning) = 1-18/19= 1/19
Click here to see answer by Fombitz(32388)  |
Question 1059876: Construct the indicated confidence interval for the population mean
muμ
using the t-distribution
cequals=0.90
x overbarxequals=14.1
sequals=2.0
nequals=7
The
9090%
confidence interval using a t-distribution is left parenthesis nothing comma nothing right parenthesis .(m,m).
Click here to see answer by stanbon(75887) |
Question 1060179: A box is filled with
3
brown cards,
4
yellow cards, and
5
red cards. A card is chosen at random from the box. What is the probability that it is a brown or a red card?
Write your answer as a fraction in simplest form.
Click here to see answer by Boreal(15235)  |
Question 1060177: A box contains 6 black balls, 16 orange balls, and 8 white balls. Two balls are selected randomly.
What is the probability that:
a) One of them is black.
b) The balls are not black.
c) First ball is orange and second ball is white.
Click here to see answer by Boreal(15235)  |
Question 1060190: 1) I have the following individual socks that are in my drawers: 6 red socks, 7 green socks, and 4 blue socks. Two socks are picked are picked out in the dark.
a) what is the probability that if the second sock is red, then the first sock is also red? (note: we can also phrase this as "what is the probability that the first sock was red given the seond sock is red.)
b) what is the probability that the two socks are the same color?
c) what is the probability that if the second socks are not red, then the first sock is blue? (this can also be phrased as "what is the probability that the first sock was blue given that the second sock is not red(is blue or green).")
Click here to see answer by Boreal(15235)  |
Question 1060190: 1) I have the following individual socks that are in my drawers: 6 red socks, 7 green socks, and 4 blue socks. Two socks are picked are picked out in the dark.
a) what is the probability that if the second sock is red, then the first sock is also red? (note: we can also phrase this as "what is the probability that the first sock was red given the seond sock is red.)
b) what is the probability that the two socks are the same color?
c) what is the probability that if the second socks are not red, then the first sock is blue? (this can also be phrased as "what is the probability that the first sock was blue given that the second sock is not red(is blue or green).")
Click here to see answer by KMST(5328)  |
Question 1060176: The probability of university students who own an automobile is 0.3 and the probability of
students who live in the campus is 0.6. If the probability of students who either own a car or live
in a campus is 0.8, then find the probability of students who live in a campus and own a car.
Click here to see answer by jorel555(1290) |
Question 1006319: McBurger, Inc. wants to redesign its kitchens to improve productivity and quality. Three designs, called designs K1, K2, and K3, are under consideration. No matter which design is used, daily demand for sandwiches at a typical McBurger restaurant is for 500 sandwiches. A sandwich costs $1.30 to produce. Non-defective sandwiches sell, on the average, for $2.50 per sandwich. Defective sandwiches cannot be sold and are scrapped.
The goal is to choose a design that maximizes the expected profit at a typical restaurant over a 300-day period. Designs K1, K2, and K3 cost $100 000, $130 000, and $180 000 respectively. Under design K1, there is a .80 chance that 90 out of each 100 sandwiches are non-defective and a .20 chance that 70 out of each 100 sandwiches are non-defective. Under design K2, there is a .85 chance that 90 out of each 100 sandwiches are non-defective and a.15 chance that 75 out of each 100 sandwiches are non-defective. Under design K3, there is a .90 chance that 95 out of each 100 sandwiches are non-defective and a .10 chance that 80 out of each 100 sandwiches are non-defective. What is the expected profit level of the design that achieves the maximum expected 300-day profit level?
Click here to see answer by Rp123(1) |
Question 1060226: Consider the experiment of rolling two dice?
What is the probability of obtaining a sum of three?
What is the probability of obtaining a sum of four or less?
What is the probability of obtaining a sum of eleven or more?
Click here to see answer by stanbon(75887) |
Question 1060301: 5. One important factor in inventory control is the variance of the daily demand for a product. Management believes that demand is normally distributed with the variance equal to 250. In an experiment to test this belief about , the daily demand was recorded for 25 days. The data has been summarized as follows:
Do the data provide sufficient evidence to show that management’s belief about the variance is untrue? (Use ).
Click here to see answer by rothauserc(4718)  |
Question 1060276: Seven different written driving tests are administered by the Motor Vehicle Department. One of these 7 tests is selected at random for each applicant for a driver's license.
If a group consisting of two women and three men apply for a license, what is the probability that exactly two of the five will take the same test?
Click here to see answer by stanbon(75887) |
Question 1060351: There are 12 signs of the Zodiac: Aries, Taurus, Gemini, Cancer, Leo, Virgo, Libra, Scorpio, Sagittarius, Capricorn, Aquarius, and Pisces. Each sign corresponds to a different calendar period of approximately 1 month.
Assuming that a person is just as likely to be born under one sign as another, what is the probability that in a group of five people at least two of them were born under the sign of Aries?
Click here to see answer by Boreal(15235)  |
Question 1060338: At a college 32% of the freshman score above 550 on the SAT mathematics test. of those scoring above 550, 87% make a grade of C or higher in their mathematics course. A freshman is selected at random. What is the probability that the student selected at random scored above 550 and makes a C or above in mathematics.
Click here to see answer by Boreal(15235)  |
Question 1060493: natalie us carrying six pages of nath homework and four pages of english homework. A gust of wind blows the pages out of her hands and she is only able to recover six random pages. What is the probability that she recovers all of her math homework.
Click here to see answer by Alan3354(69443)  |
Question 1060502: Two urns contain white balls and yellow balls. The first urn contains 2 white balls and 7 yellow balls and the second urn contains 3 white balls and 10 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white?
Click here to see answer by addingup(3677)  |
Question 1060560: you want to estimate p= the true proportion of students at your school who have their drivers license. Which of the following is the smallest number of students that should be surveyed to estimate p with a margin of error of no more than .05 with 90% confidence?
A. 300
B. 275
C. 250
D. 225
E. 200
I know the answer is B but I have no idea how to get to that answer.
Ive tried using the Margin of Error formula and solving for N but I'm 59.04 as an answer for N.
Click here to see answer by MathTherapy(10549)  |
Question 1060663: At a coffee house a group of five orders 2 cappuccinos and 3 mochas and pays $17.15. At another table a group of three orders 1 cappuccino and 2 mochas and pays $10.37. Find the cost of 1 cappuccino and 1 mocha.
Click here to see answer by ikleyn(52750)  |
Question 1060679: Can someone show me how to solve these problem below using the Central Limit Theorem?
A specific study found that the average number of doctor visits per year for people over 55 is 8 with a standard deviation of 2. Assume that the variable is normally distributed.
1.Identify the population mean.
2.Identify the population standard deviation.
3.Suppose a random sample of 15 people over 55 is selected. What is the probability that the sample mean is above 9?
4.Suppose a random sample of 100 people over 55 is selected. What is the probability that the sample mean will be below 7?
A study found that citizens spend on average $1950 per year on groceries with a standard deviation of $100. Assume that the variable is normally distributed.
5.Identify the population mean.
6.Identify the population standard deviation.
7.Find the probability that a sample of 20 citizens will have a mean less than $1800.
8.Find the probability that a sample of 500 citizens will have a mean greater than $2000.
Click here to see answer by rothauserc(4718)  |
Question 1060609: Suppose SAT Mathematics scores are normally distributed with a mean of 515 and a standard deviation of 115. A university plans to send letters of recognition to students whose scores are in the top 10%. What is the minimum score required for a letter of recognition?
can you provide not just the answer but the steps for the ti84 or other calculator.
Click here to see answer by Fombitz(32388)  |
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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, 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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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