Questions on Algebra: Probability and statistics answered by real tutors!

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Question 1088945: Usually, errors are found in 10% of lines of code written by software engineers at Error Free Code, Inc. What is the probability that in a randomly selected sample of 5 lines of code all of them have errors?
Click here to see answer by Boreal(15235) About Me 

Question 1088843: The urn held 4 black marbles, 3 red marbles, and 6 white marbles. If three marbles are drawn randomly and the first marble drawn is white, what is the probability that the second marble is red and the third marble is black?
a.) with replacement
b.) without replacement

Click here to see answer by Boreal(15235) About Me 

Question 1088915: A population of values has a normal distribution with μ=206.3 and σ=51.5. You intend to draw a random sample of size n=202.
Find P64, which is the score separating the bottom 64% scores from the top 36% scores.
P64 (for single values) =
Find P64, which is the mean separating the bottom 64% means from the top 36% means.
P64 (for sample means) =
Enter your answers as numbers accurate to 1 decimal place.

Click here to see answer by Boreal(15235) About Me 

Question 1088691: A survey found that​ women's heights are normally distributed with mean 63.5 in and standard deviation 2.2 in. A branch of the military requires​ women's heights to be between 58 in and 80 in.
a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too​ tall?
b. If this branch of the military changes the height requirements so that all women are eligible except the shortest​ 1% and the tallest​ 2%, what are the new height​ requirements?

Click here to see answer by Boreal(15235) About Me 

Question 1089001: You run a regression analysis on a bivariate set of data (n=98). You obtain the regression equation y=-3.992x+42.328 with a correlation coefficient of r=-0.312 (which is significant at α=0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 170 on the response variable.
What is the predicted explanatory value?
x =

(Report answer accurate to one decimal place.)

Click here to see answer by Boreal(15235) About Me 

Question 1088978: c. What are the minimum and the maximum values ofthe middle 95% of computer prices?
Click here to see answer by ikleyn(52750) About Me 

Question 1089024: algebraic sum of deviations from the mean is

Click here to see answer by ikleyn(52750) About Me 

Question 1089012: A poll discovered that 14% of the people in a city buy books each week. If a random sample of 50 people is selected, find the probability that at least 5 people buy books each week.
a. 0.95

b. 0.72

c. 0.15

d. 0.84

Click here to see answer by mathmate(429) About Me 

Question 1089030: Six distinct integers are picked from the set {1, 2, 3,…, 10}. What is the probability that among those selected, the second smallest is 3?
Click here to see answer by Fombitz(32388) About Me 

Question 1089049: In a bag of 30 chocolates, 16 have vanilla filling and 14 have strawberry filling. Six
chocolates are randomly chosen from the bag.
a) What is the probability of obtaining exactly 2 chocolates with strawberry filling?
b) What is the expected number of vanilla filling chocolates?
i need help right now plzzzzzzz.

Click here to see answer by natolino_2017(77) About Me 

Question 1088946: The probability that a train is behind the schedule for more than an hour is .0002. What’s the probability that the train is behind the schedule for more than one hour twice a year (assume there are 365 days in a year)?
Click here to see answer by Theo(13342) About Me 

Question 1089149: hello , can anyone please help me on these question of normaly distribution question ? i dont understand the question
the thickness of the gear blanks produced by an automatic lathe is known to be normally distributed, with a mean of 0.05in. and a standard deviation of 0.05in.
if 10% of the blank are rejected for being too thin, find the value of the lower specification.

Click here to see answer by stanbon(75887) About Me 

Question 1089085: A population of values has a normal distribution with μ=243 and σ=71.9. You intend to draw a random sample of size n=236.
Find the probability that a single randomly selected VALUE is greater than 247.7.
P(X > 247.7) =
Find the probability that a sample of size n=236 is randomly selected with a MEAN greater than 247.7.
P(M > 247.7) =
Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Click here to see answer by stanbon(75887) About Me 

Question 1089225: The correlation between the salary of the nurse and the number of days missed at work in a sample of 100 nurses was found to be r = - 0.68, p = 0.001.
Interpret what this correlation indicates (r value) and the p value? What does this correlation mean in terms of salary and missed work days?

Click here to see answer by Theo(13342) About Me 

Question 1089263: Let X be a normally distributed random variable with \mu μ = 100 and \sigma σ = 10. Find the probability that X is between 70 and 110. (Round your answer to the nearest whole number percent and include the percent symbol.)
Click here to see answer by rothauserc(4718) About Me 

Question 1089000: Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y=-23.98x + 55.52 and the r=-0.438.
What proportion of the variation in y can be explained by the variation in the values of x?
r˛ = ? %
Report answer as a percentage accurate to one decimal place.

Click here to see answer by Theo(13342) About Me 

Question 1089305: Consider the frequency distribution below. Then find the mean, median, and mode.
Value Frequency
----------------------
609 -> 13
541 -> 6
606 -> 9
585 -> 15
589 -> 6
599 -> 7
Thank you for your help!

Click here to see answer by solver91311(24713) About Me 

Question 1089434: I am having a really hard time trying to figure out how to figure out the median of frequency distribution. I have figured out how to find the mean and mode, but I can't figure out the median to save my life.
I've looked at all the helps and how to's but I just can't figure it out. If it could be explained as simply as possible, I would greatly appreciate it! Thank you so much in advance!
Value | Frequency
-----------------------
625 | 14
541 | 7
603 | 8
575 | 16
580 | 5
593 | 5

Click here to see answer by rothauserc(4718) About Me 
Question 1089434: I am having a really hard time trying to figure out how to figure out the median of frequency distribution. I have figured out how to find the mean and mode, but I can't figure out the median to save my life.
I've looked at all the helps and how to's but I just can't figure it out. If it could be explained as simply as possible, I would greatly appreciate it! Thank you so much in advance!
Value | Frequency
-----------------------
625 | 14
541 | 7
603 | 8
575 | 16
580 | 5
593 | 5

Click here to see answer by natolino_2017(77) About Me 
Question 1089434: I am having a really hard time trying to figure out how to figure out the median of frequency distribution. I have figured out how to find the mean and mode, but I can't figure out the median to save my life.
I've looked at all the helps and how to's but I just can't figure it out. If it could be explained as simply as possible, I would greatly appreciate it! Thank you so much in advance!
Value | Frequency
-----------------------
625 | 14
541 | 7
603 | 8
575 | 16
580 | 5
593 | 5

Click here to see answer by MathTherapy(10549) About Me 

Question 1089530: A ball is projected directly upward from and initial height of 200 feet with an initial velocity of 120 feet per second. After how many seconds does the ball reach its maximum height? What is this height?
Click here to see answer by jorel1380(3719) About Me 
Question 1089530: A ball is projected directly upward from and initial height of 200 feet with an initial velocity of 120 feet per second. After how many seconds does the ball reach its maximum height? What is this height?
Click here to see answer by ikleyn(52750) About Me 

Question 1089358: The national passing rate for a drivers test is approximately 44%. What is the probability that, In a random group of seven people, exactly 5 will pass?
Click here to see answer by Fombitz(32388) About Me 

Question 1089429: Let E and F be two mutually exclusive events and suppose P(E) = 0.4 and P(F) = 0.2. Compute the probabilities below.
(a) P(E intersection F)

(b) P(E union F)

(c) P(Ec)

(d) P(Ec intersection Fc)

(e) P(Ec union Fc)

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1089570: Two cars start moving simultaneously in the same direction. The first car moves at 64 mph; the speed of the second car is 40 mph. A half-hour later, another car starts moving in the same direction. The third car reaches the first one 1.5 hours after it reached the second car.
Find the speed of the third car.

Click here to see answer by ikleyn(52750) About Me 

Question 1089569: With the salary cap in the NFL, it is said that on “any given Sunday” any team could beat any other team. If we assume every week of the 16 week season a team has a 50% chance of winning, what is the probability that a team will have at least 1 win?

Click here to see answer by jorel1380(3719) About Me 

Question 1089617: A recent study found that the average life expectancy of a person living in X-country is 55 years with a standard deviation of 8 years. If a person in X-country is selected at random, what is the probability that the person will die between the age of 60 - 65?
a. 0.1056

b. 0.7521

c. 0.8944

d. 0.1587

Click here to see answer by reviewermath(1029) About Me 

Question 1089547: One day, eleven babies are born at a hospital. Assuming each baby has an equal chance of being a boy or a girl, what is the probability that at most nine of the eleven babies are girls?
Click here to see answer by mathmate(429) About Me 

Question 1089638: After calculating the sample size needed to estimate a population proportion to within .04, your statistics professor told you the maximum allowable error must be reduced to just .01. If the original calculation led t a sample size of 800, the sample size will now have to be:
I know the answer but do not know how to get it. Can someone please help me?!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1089657: A fair die is rolled 100 times. Find the math expectation of the numerical sum of the outcomes.
Click here to see answer by math_helper(2461) About Me 

Question 1089689: Please help me solve the following problem: A survey of 1000 NUST students find that 48% own a personal computer. Construct a 95% confidence interval on the true proportion of NUST students who own a personal computer.
Click here to see answer by rothauserc(4718) About Me 

Question 1089688: Please help me solve the following problem: From a parliamentary constituency, a sample of 100 was asked whether or not they would vote Swapo or National Democrats candidate. It is determined that 40 from the constituency sample prefer Swapo candidate.
What is the standard error of p?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1089658: Someone has stolen a bank card and wants to use it at an ATM. PINS are designed to contain four numbers (0 through 9). ATM machines are designed in a way that after the first three attempts to log in using a wrong PIN, a bank card stays with a machine.
What is the probability that a thief will guess correctly the PIN at his third attempt?

Click here to see answer by math_helper(2461) About Me 

Question 1089735: Suppose both parents have the brown/blue pair of eye color genes, and each parent contributes one gene to the child. Suppose the brown eye color gene is dominant so that if the child has at least one brown gene, the color will dominate and the eyes will be brown.
a. Choose the possible outcomes (sample space). Assume each outcome is equally likely.


b. What is the probability that the child will have the blue/blue pair of genes?

c. What is the probability that the child will have brown eyes?

Click here to see answer by jorel1380(3719) About Me 

Question 1089674: Which of the following statistics can you compute from the following relative frequency table? The bins represent the number of goals scored in a game by a team in men's U.S. Major League Soccer in the 2015 season.
STD
Outliers
Probability that 5 or more goals are scored in a game
Median
IQR
Mode
Expected value of goals per game
Mean
Quartiles
I tried the median,Expected value of goal per game, but that's incorrcet, please help me.thanks a lot!

Click here to see answer by ikleyn(52750) About Me 

Question 1089736: When two dice are rolled, the probability of getting a sum of 9 is 1/9 and the probability of not getting a sum of 9 is 8/9. If two dice are rolled n times, the probability of getting a sum of 9 exactly k times can be found by using the binomial theorem nCk(1/9)^k (8/9)^(n-k).
If a dice is rolled 8 times, find the probability of getting a sum of 9 at least two times.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1089659: Let X1,…,X49 be identically distributed independent random variables with Var(Xi)=36
What is the standard deviation of their average XŻ=(X1+…+X49)/49?

Click here to see answer by solver91311(24713) About Me 

Question 1063329: , A and B contain numbers of (black and ). A sample of
100 selected with replacement from each of revealed 52 form box A and 44
from box B.
1. hyposis of , a of
2. hyposis box A has greater of than box B, a of

Click here to see answer by emad.adel(1) About Me 

Question 1089854: 7c3/13c3=
Click here to see answer by ikleyn(52750) About Me 

Question 1089634: It is estimated that the average annual salary for a registered nurse is $46,000 with a standard deviation of $1,800. If 9 random samples of 40 nurses each are randomly selected, the probability that the average salary of one of these samples is less than $45,000 is
A. 0.0002
B. 0.0478
C. 0.2782
D. 0.7218

Click here to see answer by Boreal(15235) About Me 

Question 1089629: The average diameter of sand dollars on a certain island is 4.00 centimeters with a standard deviation of 0.60 centimeters. If 16 sand dollars are chosen at random for a collection, find the probability that the average diameter of those sand dollars is more than 3.85 centimeters. Assume that the variable is normally distributed.
a. 0.659

b. 0.780

c. 0.341

d. 0.841

Click here to see answer by Boreal(15235) About Me 

Question 1089616: The average hourly wage of workers at a fast food restaurant is $6.50/hr with a standard deviation of $0.50. Assume that the distribution is normally distributed. If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns less than $6.75?
a. 0.6915

b. 0.3085

c. 0.9512

d. 0.5000

Click here to see answer by Boreal(15235) About Me 

Question 1089636: A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 172 (µ = 172). The 30 individuals who take Atenolol have an average systolic blood pressure of 129, with a sample standard deviation of 12. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? (Use these numbers only for this question!)
Calculate the 95% confidence interval
As you know, two values will be required to complete the following equation:

_________ ≤ µ ≤ __________
For this question, what is the value that is below or less than µ?

Click here to see answer by Boreal(15235) About Me 

Question 1089637: After calculating the sample size needed to estimate a population proportion to within .04, your statistics professor told you the maximum allowable error must be reduced to just .01. If the original calculation led t a sample size of 800, the sample size will now have to be:
Click here to see answer by Boreal(15235) About Me 

Question 1089926: Serial numbers for a product are to be made using letters followed by numbers. If the letters are to be taken from the first letters of the alphabet with no repeats and the numbers are taken from the digits through with no repeats, how many serial numbers can be generated?
Click here to see answer by ikleyn(52750) About Me 

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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