Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1168332: Normally distributed observations such as a person's weight, height, or shoe size occur quite frequently in nature. Business people who are aware of this use it to their advantage. A purchasing agent for a large retailer buying 15,000 pairs of women's shoes used the normal curve to decide on the order quantities for the various sizes. If women's average shoe size is 7.5 with a standard deviation of 1.5, how many pairs should be ordered between sizes 6.5 and 9?
Click here to see answer by CPhill(2189)   |
Question 1168310: On average there are three babies born a day at the Hospital with hair on their backs. Find the probability that in one day no babies are born with hair on their backs.
Round answer to 4 decimal places.
Click here to see answer by CPhill(2189) |
Question 1168466: During the last 50 years, the consumption of eggs in the United States has decreased by 19%. Fifty years ago, the average consumption was 307 eggs per person per year. What is the average consumption of eggs today? (Round your answer to the nearest whole number.)
Click here to see answer by ikleyn(53763)  |
Question 1168466: During the last 50 years, the consumption of eggs in the United States has decreased by 19%. Fifty years ago, the average consumption was 307 eggs per person per year. What is the average consumption of eggs today? (Round your answer to the nearest whole number.)
Click here to see answer by timofer(155) |
Question 1210173: Let P be a point chosen uniformly at random inside triangle ABC. Extend ray BP to hit side AC at D. What is the probability that BD < 4?
The sides of triangle ABC are 3, 5, and 7.
Click here to see answer by EPM(3) |
Question 1165872: The city finds empirically that the probability that an automobile going through the intersection of 5th and Main will run a red light sometime during a given day is 8.9%, and the probability that an automobile going through the intersection of 7th and Polk will run a red light sometime during a given day is 11.7%. Suppose a car is picked at random at 5th and Main on a given day and another at random at 7th and Polk. Write each probability as a percentage rounded to one decimal place.
What is the probability that neither car runs a red light?
Click here to see answer by ikleyn(53763) |
Question 1165870: The city finds empirically that the probability that an automobile going through the intersection of 5th and Main will run a red light sometime during a given day is 8.9%, and the probability that an automobile going through the intersection of 7th and Polk will run a red light sometime during a given day is 11.7%. Suppose a car is picked at random at 5th and Main on a given day and another at random at 7th and Polk. Write each probability as a percentage rounded to one decimal place.
What is the probability that the car will not run a red light at 7th and Polk?
Click here to see answer by ikleyn(53763) |
Question 1210208: A jewelry box contains two gold hoop earrings and two silver hoop earrings. You randomly choose two earrings. What is the probability that both are silver hoop earrings? Write your answer as a simplified fraction.
Click here to see answer by ikleyn(53763) |
Question 1210208: A jewelry box contains two gold hoop earrings and two silver hoop earrings. You randomly choose two earrings. What is the probability that both are silver hoop earrings? Write your answer as a simplified fraction.
Click here to see answer by EPM(3) |
Question 1210207: The data for the two variables X and Y are given in the table below:
X: 1.11, 0.00, 0.47, 0.23, 0.14, 0.29, 0.53, 0.61, 0.83, 0.65, 1.05, 0.31
Y: 2.38, 1.03, 1.00, 0.90, 0.93, 0.90, 1.06, 1.16, 1.57, 1.22, 2.18, 0.91
X: 1.35, 0.04, 1.03, 0.64, 0.86, 0.22, 0.30, 1.23, 1.49, 0.48, 1.07, 1.35
Y: 3.32, 0.99, 2.12, 1.21, 1.65, 0.90, 0.91, 2.82, 3.98, 1.01, 2.25, 3.32
Given that X ~ U(0, θ) (i.e., X is uniformly distributed on [0, θ]), we can use the following estimators for θ:
T₁ = 2X̄, where X̄ is the sample mean.
T₂ = 2m̂, where m̂ is the sample median.
T₃ = 2√3S, where S is the sample standard deviation.
T₄ = max {X₁, X₂, …, Xₙ}, where the maximum value is taken from the sample.
Assume that we additionally know that θ = 1 + e, with e ~ Exponential(1) and θ ≤ 2. Use the Bayesian inference technique to find θ and compare the error of this estimator with the ones above.
Click here to see answer by CPhill(2189) |
Question 1168180: Which is a correct statement regarding a weighted mean?
A)
A weighted mean is always different from the actual mean.
B)
Multiply the weighting by the corresponding data value, then find the sum of the products.
C)
A weighted mean accounts for the relative importance of each value in the average.
D)
The weighted mean is less affected by outliers than the median.
Click here to see answer by MathLover1(20855)  |
Question 1168265: The average stock price for companies making up the S&P 500 is $30, and the standard deviation
is $8.20 (BusinessWeek, Special Annual Issue, Spring 2003). Assume the stock
prices are normally distributed.
What is the probability that a company will have a stock price of exactly $65?
Click here to see answer by ikleyn(53763) |
Question 1210213: The following cards are split into four piles at random, so that every pile contains the same number of cards. What is the probability that every pile contains an Ace?
The cards are:
Ace of clubs
Ace of diamonds
Ace of spades
Ace of hearts
King of clubs
King of diamonds
King of spades
King of hearts
Click here to see answer by CPhill(2189) |
Question 1210213: The following cards are split into four piles at random, so that every pile contains the same number of cards. What is the probability that every pile contains an Ace?
The cards are:
Ace of clubs
Ace of diamonds
Ace of spades
Ace of hearts
King of clubs
King of diamonds
King of spades
King of hearts
Click here to see answer by greenestamps(13334)  |
Question 1168294: 1. A tire manufacturer wishes to investigate the tread life of its tires. A sample of 10 tires driven 50, 000 miles revealed a sample mean of 0.32 inch of tread remaining with a standard deviation of 0.09 inch. Would it be reasonable for the manufacturer to conclude that after 50, 000 miles the population mean amount of tread remaining is 0.30 inches? Use α = 0.05
I need to find Ho, Ha, df, a, p value, decision and conclusion
Please help me thank you :(
Click here to see answer by CPhill(2189) |
Question 1168292: 1. A tire manufacturer wishes to investigate the tread life of its tires. A sample of 10 tires driven 50, 000 miles revealed a sample mean of 0.32 inch of tread remaining with a standard deviation of 0.09 inch. Would it be reasonable for the manufacturer to conclude that after 50, 000 miles the population mean amount of tread remaining is 0.30 inches? Use α = 0.05
Click here to see answer by CPhill(2189) |
Question 1168277: In New York State, the mean salary for high school teachers in 2017 was $98,210 with a standard deviation of $9,560. Only Alaska’s mean salary was higher! Assume New York’s state salaries follow a normal distribution.
a. What percent of New York’s state high school teachers earn between $84,000 and $89,000? (Round intermediate calculations to 2 decimal places and final answer to 2 decimal places.)
b. What percent of New York’s state high school teachers earn between $89,000 and $104,000? (Round intermediate calculations to 2 decimal places and final answer to 2 decimal places.)
c. What percent of New York’s state high school teachers earn less than $74,000? (Round intermediate calculations to 2 decimal places and final answer to 2 decimal places.)
Click here to see answer by CPhill(2189) |
Question 1210220: Let us assume that from a population with mean μ=100 and standard deviation σ=15 a sample random variable of n=900 is selected.
What is the probability P(X ̅<101.1)?
What is the probability P(X ̅>101.5)?
What is the probability P(99.3
Click here to see answer by CPhill(2189) |
Question 1168177: Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below.
ANOVA table
Source SS df MS F
Regression 1,830.5782 1 1,830.5782 41.15
Residual 1,245.4934 28 44.4819
Total 3,076.0716 29
Regression output
Variables Coefficients Std. Error t(df=28)
Intercept 14.1988 3.137 2.962
Distance - X 3.9798 8.842 6.41
a-1. Write out the regression equation. (Round your answers to 3 decimal places.)
b. How much damage would you estimate for a fire 9 miles from the nearest fire station? (Round your answer to the nearest dollar amount.)
c-1. Determine the coefficient of determination. (Round your answer to 3 decimal places.)
c-2. Fill in the blank below. (Round your answer to one decimal place.)
d-1. Determine the correlation coefficient. (Round your answer to 3 decimal places.)
d-3. How did you determine the sign of the correlation coefficient?
e-1. State the decision rule for 0.01 significance level: H0 : ρ = 0; H1 : ρ ≠ 0. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.)
e-2. Compute the value of the test statistic for the hypothesis of β1. (Round your answer to 2 decimal places.)
e-3. Is there any significant relationship between the distance from the fire station and the amount of damage? Use the 0.01 significance level.
Click here to see answer by CPhill(2189) |
Question 1168176: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 159000 dollars. Assume the standard deviation is 40000 dollars. Suppose you take a simple random sample of 97 graduates.
Find the probability that a single randomly selected policy has a mean value between 146815.8 and 156969.3 dollars.
P(146815.8 < X < 156969.3) =
Find the probability that a random sample of size
n=97 has a mean value between 146815.8 and 156969.3 dollars.
P(146815.8 < M < 156969.3) =
(Enter your answers as numbers accurate to 4 decimal places.)
Click here to see answer by CPhill(2189) |
Question 1168175: A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 30 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 30 weeks and that the population standard deviation is 2.4 weeks. Suppose you would like to select a random sample of 59 unemployed individuals for a follow-up study.
Find the probability that a single randomly selected value is greater than 29.7.
P(X > 29.7) =
(Enter your answers as numbers accurate to 4 decimal places.)
Find the probability that a sample of size
n=59 is randomly selected with a mean greater than 29.7.
P(M > 29.7) =
(Enter your answers as numbers accurate to 4 decimal places.)
I tried to complete the question and got these answers but they were wrong.
a) 0.4483
b) 0.1685
Click here to see answer by CPhill(2189) |
Question 1168117: The scores for a standardized test follow a normal distribution with a mean test score (the x with the line over it)=84 and standard deviationσ=6.
a. Approximately 95% of students score between what two numbers?
(
,
)
b. What percent of students score below 87?
%
c. What percent of students score above 95?
%
d. What percent of students score between 70 and 90?
%
e. What percent of students score between 95 and 100?
%
f. What score must a student get higher than to be in the top 10%?
Click here to see answer by CPhill(2189) |
Question 1168061: Please help me with this question.2. Suppose a presidential candidate wants to compare the preferences of registered voters
in the northeastern United States with those in the southeastern United States. Such
a comparison would help determine where to concentrate campaign efforts. The candidate hires a professional pollster to randomly choose 1,500 registered voters in the northeast and 2,000 in the southeast and interview each to learn of her or his voting preference.
Construct a 95% confidence interval for the difference between the population proportion of voters in Northeast and the population proportion of voters in Southeast.
Results of Poll
Northeast Southeast
n1 = 1,500 n2 = 2,000
x1 = 546 x2 = 475
Click here to see answer by CPhill(2189) |
Question 1168059: Individual test scores in a large statistics class are normally distributed with ( m= 84.2 )
and (s = 12.8 ) Let X represent the test score of a randomly selected student from this
class. Find the probability P( 80 < X < 86 ). Your solution must include a completely
labeled sketch of the distribution with the area of interest shaded.
Click here to see answer by CPhill(2189) |
Question 1210227: Adam the ant starts at (0,0). Each minute, he flips a fair coin. If he flips heads, he moves 1 unit up; if he flips tails, he moves 1 unit right.
Betty the beetle starts at (1,1). Each minute, she flips a fair coin. If she flips heads, she moves 1 unit down; if she flips tails, she moves 1 unit left.
If the two start at the same time, what is the probability that they meet while walking on the grid?
Enter your answer as a fraction in simplest form.
Click here to see answer by CPhill(2189) |
Question 1168051: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 6.8 inches, and standard deviation of 1.9 inches.
If 47 items are chosen at random, what is the probability that their mean length is greater than 7.1 inches?
(Round answer to four decimal places)
Click here to see answer by google ppc ads(1)  |
Question 1167601: Following are the grades of students obtained in statistics exam obtained by the students.
A,A,B,C,C,A,C,A,D,F,A,B,C,B,B,C,B,D,B,F,A,C,B,C,B
a. Construct Frequency distribution
b. Construct pie chart frim the frequency distribution.
Click here to see answer by MathLover1(20855) |
Question 1167601: Following are the grades of students obtained in statistics exam obtained by the students.
A,A,B,C,C,A,C,A,D,F,A,B,C,B,B,C,B,D,B,F,A,C,B,C,B
a. Construct Frequency distribution
b. Construct pie chart frim the frequency distribution.
Click here to see answer by ikleyn(53763) |
Question 1167969: The owner of a fish market determined that the mean weight for a catfish is 3.2 pounds assuming that the weight of a catfish follows a normal distribution and its standard deviation is unknown. He also knew that that probability of a randomly selected catfish that would weigh more than 3.8 pounds is 20% and the probability that a randomly selected catfish that would weigh less than 2.8 pounds is 30%. What is the probability that a randomly selected catfish will weigh between 2.6 and 3.6 pounds?
I know that the answer is 50% or 0.5 but I am having trouble figuring out how to get to that answer. I think it is normal distribution but I don't know where to begin.
Click here to see answer by ikleyn(53763) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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