Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1170216: An urn contains 4 red balls, 2 green balls, and 4 blue balls. If 10 balls are
selected at random with replacement between each draw, what is the probability
that exactly 4 red balls will be selected? What is the probability that exactly
2 green balls will be selected?
Click here to see answer by Edwin McCravy(20054)   |
Question 1170268: The probability that a family has children is 0.73, the probability that a family has children and owns an iPhone is 0.06, and the probability that a family has children or owns an iPhone is 0.85. Calculate the probability a family owns an iPhone.
Click here to see answer by ikleyn(52750)  |
Question 1170275: In my Tae Kwon Do class, there are three black belts, three red belts, two blue belts, two green belts, and six yellow belts. If the sensei selects a student at random to lead the warm-up, find the probability as a reduced fraction that the person is
(a) either a black belt or a blue belt.
The probability that the student is either a black belt or a blue belt is_______
Click here to see answer by Boreal(15235)  |
Question 1170269: A random sample of 732 judges found that 405 were introverts. Construct a 95%
confidence interval for the proportion. Interpret the meaning of the confidence interval.
Justify your use of a confidence interval based on a normal distribution for data
regarding proportions that are normally following a binomial distribution
Click here to see answer by Boreal(15235) |
Question 1170300: During a laboratory experiment, the mean number of radioactive particles passing through a counter in 1 millisecond is 4. What is the probability that atleast 3 practices enter the counter in a given millisecond?
Click here to see answer by Boreal(15235) |
Question 1170287: Coffee with Meals A researcher wishes to determine the number of cups of coffee a customer drinks with an evening meal at a restaurant. Find the mean, vari- ance, and standard deviation for the distribution. 0 1 2 34 P(X) 0.31 0.42 0.21 0.04 0.02
What is the expectation of the information provided above ?
Click here to see answer by Boreal(15235) |
Question 1170231: Among 10,000 school children, 500 of them are randomly selected for a survey on nutritional status among school age children. Of these 500 school children, 91 are found to be moderately and severely underweight children. At 5% level of significance, is their evidence that the proportion of moderately and severely underweight children is 20%?
Click here to see answer by Boreal(15235) |
Question 1170265: uppose the systolic blood pressure of an adult male is normally distributed with a mean of 138 mm of mercury and a standard deviation of 10 mm of mercury.
a) (2 marks) If an adult male is selected at random, find the probability that his blood pressure will be greater than 160 mm.
b) (4 marks) If an adult male is selected at random, find the probability that his blood pressure will be between 120 mm and 135 mm.
c) (4 marks) If an adult male is selected at random, find the probability that his blood pressure will be within 25 mm of the population mean.
d) (4 marks) Find the 92nd percentile of the probability distribution.
Click here to see answer by Boreal(15235) |
Question 1170285: Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .025 significance level. The null and alternative hypothesis would be:
The test is:
left-tailed
two-tailed
right-tailed
Based on a sample of 80 men, 25% owned cats
Based on a sample of 40 women, 30% owned cats The test statistic is:
(to 2 decimals) The critical value is:
(to 2 decimals) Based on this we:
Reject the null hypothesis
Fail to reject the null hypothesis
Click here to see answer by Boreal(15235) |
Question 1170299: A soft drink vending machine dispenses soda into 12-ounce cups. Tests show that the actual amount
of soda dispensed is normally distributed, with a mean of 11.5 oz and a standard deviation of 0.2 oz.
a. What percent of cups will receive less than 11.25 oz of soda?
b. What percent of cups will receive between 11.2 oz and 11.55 oz of soda?
c. If a cup is chosen at random, what is the probability that the machine will overflow the cup?
Click here to see answer by Boreal(15235) |
Question 1170060: Suppose that, for a certain exam, a teacher grades on a curve.
It is known that the mean is 50 and the standard deviation is 10. There are 40 students in the class. (Round your answers to the nearest whole number.)
(a) How many students should receive a C?
(b) How many students should receive an A?
Click here to see answer by Boreal(15235) |
Question 1170284: You measure 45 textbooks' weights and find they have a mean weight of 56 ounces. Assume the population standard deviation is 6.6 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight.
Give your answers as decimals, to two places
Click here to see answer by Boreal(15235) |
Question 1170283: CNNBC recently reported that the mean annual cost of auto insurance is 1034 dollars. Assume the standard deviation is 224 dollars. You take a simple random sample of 83 auto insurance policies.
Find the probability that a single randomly selected value is less than 998 dollars.
P(X < 998) =
Find the probability that a sample of size
n
=
83
is randomly selected with a mean less than 998 dollars.
P(M < 998) =
Enter your answers as numbers accurate to 4 decimal places
Click here to see answer by Boreal(15235) |
Question 1169990: suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation 3.3 of hours. with this information, answer the following questions.
(a) what proportion of light bulbs will last more than 60 hours?
(b) what proportion of light bulbs will last 51 hours or less?
(c) what proportion of light bulbs will last between 57 and 61 hours?
(d) what is the probability that a randomly selected light bulb lasts less than 45 hours?
Click here to see answer by Boreal(15235) |
Question 1170281: In a survey, 30 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $49 and standard deviation of $7. Construct a confidence interval at a 80% confidence level.
Give your answers to one decimal place.
Click here to see answer by Boreal(15235) |
Question 1170266: In a food processing and packing plant, there are on average two packing machine breakdowns per week.
a) (2 marks) Determine the mean and the standard deviation of the distribution.
b) (2 marks) What is the probability that there are no machine breakdowns during a given week?
c) (4 marks) What is the probability that there are at most two machine breakdowns during a given week?
d) (3 marks) What is the probability that there are exactly three machine breakdowns during the next two weeks?
Click here to see answer by Boreal(15235) |
Question 1170488: Currently Samsung ships 22.7 percent of the organic light - emitting diode (OLED) displays in the world. Let S be the event that a randomly selected OLED display was made by Samsung.
(A) Find p(s)
(B) Find p (s)
Find odds in favor of event S
Odds against event S
Click here to see answer by ikleyn(52750) |
Question 1170504: A convenience store manager finds that the probabilities that a customer
purchases 0, 1, 2 or 3 or more beverages are 0.42, 0.33, 0.12 and 0.13,
respectively. In a random sample of 7 customers, find the probability that 2
will not purchase any beverages, 3 will purchase 1 beverage, 1 will purchase 2
beverages, and 1 will purchase 3 or more beverages.
Click here to see answer by Edwin McCravy(20054) |
Question 1170549: Anil stole his friend's ATM cum debit card. He knows that the password of the card is of four digit and one of the digit is an even number. He has also seen his friend punching three distinct digits which lie on either of the diagonals on the keypad. The keypad consists of three rows and three columns. It doesn't have a zero.The top left corner key has 1 and the digits are arranged in a sequence. Number in the first row/column is the least in the respective column/row. What is the probability that he punches the right password in exactly one of the three attempts allowed?
Click here to see answer by ikleyn(52750) |
Question 1170549: Anil stole his friend's ATM cum debit card. He knows that the password of the card is of four digit and one of the digit is an even number. He has also seen his friend punching three distinct digits which lie on either of the diagonals on the keypad. The keypad consists of three rows and three columns. It doesn't have a zero.The top left corner key has 1 and the digits are arranged in a sequence. Number in the first row/column is the least in the respective column/row. What is the probability that he punches the right password in exactly one of the three attempts allowed?
Click here to see answer by MathTherapy(10549)  |
Question 1170490: The sick-leave time of employees in a firm in a month is normally distributed with a mean of 100 hours and a variance of 400 hours. How much time should be budgeted for sick leave if the budgeted amount should be exceeded with a probability of only 2.5%?
Click here to see answer by Boreal(15235) |
Question 1170501: According to a Boston Globe story, only about 1 in 6 Americans have blue eyes, whereas in 1900 about half had blue eyes. (Source:Data from The Boston Globe October 17, 2006.)
a. For a random sample of 100 living Americans, find the mean and standard deviation of the proportion that have blue eyes.
b. In a course you are taking with 100 students, half of the students have blue eyes. Would this have been a surprising result if the sample were a random sample of Americans? Answer by finding how many standard deviations that sample result falls from the mean of the sampling distribution of the proportion of 100 students who have blue eyes.
c. In part b, identify the population distribution, the data distribution, and the sampling distribution of the sample proportion.
Click here to see answer by Boreal(15235) |
Question 1170607: Fast-food restaurant located in Dubai in half-pound hamburgers, fish sandwiches, and chicken sandwiches. Soft drinks and French fries are also available. The Planning Department of the restaurant reports that the distribution of daily sales for restaurants follows the normal distribution and that the population standard deviation is $3,000. A sample of 40 showed the mean daily sales to be $20,000.
(a) What is the population mean?
(b) What is the best estimate of the population mean? What is this value called?
(c) Develop a 99 % confidence interval for the population mean.
(d) Interpret the confidence interval.
Click here to see answer by math_tutor2020(3816) |
Question 1170606: Suppose that the times required for a cable company to fix cable problems in its customers' homes are normally distributed with mean 45 minutes and standard deviation 15 minutes.
a)What is the probability that a randomly selected cable repair visit will take at least 36 minutes?
b)What is the probability that a randomly selected cable repair visit will take at most 60 minutes?
c)What is the probability that a randomly selected cable repair visit will take between 36 minutes and 60 minutes?
d)5% of the cable repair visits will require more than what time?
e)What is the probability that the mean tame for 25 visits will be more than 50 minutes?
What is the probability that the mean tame for 36 visits will be more than 50 minutes
Click here to see answer by Boreal(15235) |
Question 1170601:
In the most recent election, 20% of all eligible college students voted. If a random sample of 10 students were surveyed,
a)Find the probability that exactly half of them voted in the election?
b)Find the probability that none of them voted in the election?
c)Find the probability that at least one of them voted in the election?
Click here to see answer by Boreal(15235) |
Question 1170580: Five percent of truck drivers in Europe are women. Suppose 10 truck drivers are selected
randomly to be interviewed about quality of work conditions.
a) What is the probability that two of the drivers are women?
b) What is the probability that at least one will be a woman?
c) What is the probability that at most two of the drivers are women?
d) What is the probability that four of the drivers are men?
Click here to see answer by Boreal(15235) |
Question 1170587: Consider the arrangements of the letters in the word ALGORITME.
1. How many arrangements are there?
2. In how many arrangements do the letters R, I, T, M and E remain together in this order?
3. What is the probability that the situation in Question 2 will occur?
Thanks!!
Click here to see answer by akumpo(8)  |
Question 1170587: Consider the arrangements of the letters in the word ALGORITME.
1. How many arrangements are there?
2. In how many arrangements do the letters R, I, T, M and E remain together in this order?
3. What is the probability that the situation in Question 2 will occur?
Thanks!!
Click here to see answer by ikleyn(52750) |
Question 1170632: Studies have shown that 3 out of 10 thirteen year olds have a key to their
home. Of those who have a key, 22% are alone at home after school.
a) What is the probability that a 13 year
old does not have a key to their home?
b) What percent of 13 year olds have a key and someone else at home after
school?
Thanks
Click here to see answer by ikleyn(52750) |
Question 1170633: At a school assembly there are 100 students in grade 9, 125 in grade 10, 225 in grade 11, and 170 in grade 12. Everyone at the assembly entered their name for a door prize. What is the probability that the prize will be won by,
a) a grade 11 or 12 student?
b) a grade 12 student, if all grade 11 students are disqualified from winning?
Thanks
Click here to see answer by math_tutor2020(3816) |
Question 1170637: The number of multiple births in a country in 2007 were 128665sets of twins ,7110sets of triplets, 468sets of quadrplets and 85 sets of quintuplets.choose one set at random
a)find probability that it represented more than two babies
b)find the probability that it represented quads and quints.
Click here to see answer by ikleyn(52750) |
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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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