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

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 1084144: Survey results on the Age and Marital Status of women are given below. Use the data to answer the questions.
AGE
18 to 24 25 to 64 65 and over total
Married 3,046 48,116 7,767 58,929
Never Married 9,289 9,252 768 19,309
Widowed 19 2,425 8,636 11,080
Divorced 260 8,916 1,091 10,267
total 12,614 68,709 18,262 99,585

A. What is the probability of a randomly selected woman being Never Married?
B. What is the probability of a randomly selected woman being Married and 25 to 64?
C. What is the probability of a randomly selected woman being Married or 25 to 64?
D If a woman is 18 to 24 years of age, what is the probability that she is Divorced?
E. Are age and marital status independent events? Show your proof.
Click here to see answer by jim_thompson5910(35256)

Question 1084186: the probability is 0.6 that a person selected at random from the current residents of a certain hospital will be a male . the probability that the patient will be a male who is in for surgery is 0.2 A patient randomly selected from the current residents is found to be a male ,what is the probability that he is in the hospital for surgery ?
Click here to see answer by jim_thompson5910(35256)

Question 1084188: The probability that a person selected at random from a population will exhibit the classic symptom of a certain disease is 0.20 and the probability that a person selected at random has the disease is 0.23 the probability that a person who has the symptoms also has the disease is 0.18 A person is selected at random from a population does not have the symptoms.what is the probability that the person has the disease??
Click here to see answer by jim_thompson5910(35256)

Question 1084176: An ordinary (fair) die is a cube with the numbers
1
through
6
on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event
A
: The sum is greater than
9
.
Event
B
: The sum is divisible by
4
.
Click here to see answer by Boreal(15235)

Question 1084190: Medical research has concluded that people experience a common cold roughly two times per year.Assume that the time between colds is normally distributed with a mean of 160 days and a standard deviation of 40 days. a-what is the probability of going 200 or more days between colds ? b- what is the probabilty of going 365 or more days ? c- what is the probability of going between 250 and 320 days? d- what is the probability of getting a cold within 80 days of a previous cold?
Click here to see answer by Boreal(15235)

Question 1083652: Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course. It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and accounting. A student is randomly selected, what is the probability that the student is enrolled in either accounting or statistics or both?
Click here to see answer by Boreal(15235)

Question 1083615: . The Marine Corp is ordering hats for all the new recruits for the entire next year. Since they do not know the exact hat sizes they will use statistics to calculate the necessary numbers, assume the numbers are normally distributed.
This is the data from a sample of the previous recruits:
7.2, 6.8, 6, 6.9, 7.8, 6.2, 6.4, 7.2, 7.4, 6.8, 6.7, 6, 6.4, 7, 7, 7.6, 7.6, 6, 6.8, 6.4
a. Display the data in a line plot and stem-and-leaf plot. (These plots don�t need to be pretty; just make sure I can make sense of your plots.) Describe what the plots tell you about the data.
b. Find the mean, median, mode, and range.
c. Is it appropriate to use a normal distribution to model this data?
d. Suppose that the Marine Corp does know that the heights of new recruits are approximately normally distributed with a mean of 70.5 inches and a standard deviation of 1.5 inches. Use the mean and standard deviation to fit the new recruit heights to a normal distribution and estimate the following percentages.
d1. What percent of new recruits would be taller than 72 inches?
d2. What percent of new recruits would be shorter than 67.5 inches?
d3. What percent of new recruits would be between 69 and 72 inches?
d4. Between what two heights would capture 95% of new recruits??
Click here to see answer by Boreal(15235)

Question 1084225: Determine whether the growth (or decay) is linear or exponential, and answer the associated question.
During the worst periods of inflation in America, the price of food increased at a rate of 10% per month. If your food bill was $400 one month during this period, what was it two months later?
A) Exponential; $484.00
B) Linear; $880.00
C) Linear; $480.00
D) Exponential; $441.00

Click here to see answer by Boreal(15235)

Question 1084228: Solve the problem; z = datavalue - mean / standard deviation.
Question: Scores on a test are normally distributed with a mean of 61 and a standard deviation of 5. What is the percentile for an exam score of 60? Round the percentile to the nearest tenth.
A) 40.1
B) 2.9
C) 42.1
D) -0.2
Click here to see answer by Boreal(15235)

Question 1084227: How many different 5-letter sequences can be made using the first 11 letters of the alphabet? Assume that repetition of letters is allowed.
A.) 55,440
B) 161,051
C) 462
D) 120
Click here to see answer by ikleyn(52776)

Question 1084229: Scores on a test are approximately normally distributed with a mean of 70 and a standard deviation of 9. The teacher wants to give Aʹs to the top 10% of students, Bʹs to the next 25%, and Cʹs to the next 42%. What is the bottom cutoff for a C grade? Round your answer to the nearest whole number.
A) 77
B) 65
C) 63
D) 68
Click here to see answer by Boreal(15235)

Question 1083766: A light bulb manufacturer produces bulbs which have a mean life of 1400 hours and a standard deviation of 200 hours. Assuming a normal distribution.
(i) What proportion of scores would be expected to have a life of between 1600 and 1900 hours?
(ii) What number of hours of life can the manufacturer guarantee so that there are no more than 2%
rejects?
(iii) What percentage of light bulbs would have a life of more than 1850 hours?
Click here to see answer by Boreal(15235)

Question 1084050: The proportion of students at Pemberville University who own an automobile is 0.60. The proportion that lives in a dormitory is 0.20. The proportion of students that both own an automobile and live in a dormitory is 0.12. What proportion of the students either owns an auto or lives in a dorm?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1084231: A bag with
10
marbles is shown below. A marble is chosen from the bag at random. What are the odds in favor of choosing a black marble
Click here to see answer by Alan3354(69443)

Question 1084237: Poll result show that 53% of voters in a district support a certain candidate for public office and 47% support his opponent.
Click here to see answer by Alan3354(69443)

Question 1084276: if a new drug has been found to be effective 40% of the time, then what is the probability that in random sample of 4 patients ,it will be effective on 2 of them?
Click here to see answer by Theo(13342)

Question 1084233: A highly selective boarding school will only admit students who place at least
2
2 standard deviations above the mean on a standardized test that has a mean of
200
200 and a standard deviation of
24
24. What is the minimum score that an applicant must make on the test to be accepted?
The minimum score that an applicant must make on the test to be accepted is
nothing
.
Click here to see answer by rothauserc(4718)

Question 1084054: A side effect of a certain anesthetic used in surgery is the hiccups, which occurs in about 10 percent of the cases. If three patients are scheduled for surgery today and are to be administered this anesthetic, compute the probability that

a. three get hiccups.
b. none get hiccups.
c. at least one gets hiccups.

Click here to see answer by Fombitz(32388)

Question 1084310: The average of x, 2x, y, and 4y is 2x, what is y in terms of x?
Click here to see answer by Alan3354(69443)

Question 1084318: An ordinary (fair) die is a cube with the numbers
1
through
6
on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event
A
: The sum is greater than
9
.
Event
B
: The sum is divisible by
2
.
Write your answers as exact fractions.
Click here to see answer by rothauserc(4718)

Question 1083740: A contractor has submitted bids for two state construction projects. The probability that he will win any contract is 0.45, and it is the same for any contract.
Let A = event that contractor wins the first contract and B = event that contractor wins the second contract.
What is the probability that he will win neither contract?
Upper P left-parenthesis ModifyingAbove A With bar and ModifyingAbove B With bar right-parenthesis =
-Very lost on this one, I know they must not be independent because that formula hasn't worked for me. Thanks
Click here to see answer by Boreal(15235)

Question 1084249: A manufacturer of cotton pins knows that 5% of his products are defective. If he sells cotton pins in boxes of 100 and guarantees that not more than 10 pins will be defective, what is the approximate probability that a box will have the guaranteed quantity?
Click here to see answer by Boreal(15235)

Question 1083684: According to a national poll of 725 college students, 73% play video games more than 6 hours a week.
Find the margin of error and the 95% confidence interval for the survey. Give your answers as percentages rounded to the nearest tenth of a percent.
Find the margin of error-
The 95% confidence interval is from ___ to ____?
Click here to see answer by Boreal(15235)

Question 1084349: 1. There are 18 players on the roster of the Ludlow wildcats baseball team. Of the 18 players 8 are currently enrolled in college. The coach decides to name tri-captains and to select them at random. The names of the players are placed in an old baseball hat and there selected at random. What is the probability none of those selected are college students? Follow up Question.What is the probability of selecting one college stident and two non-college students?

2. Company buy electric motors from two suppliers. Sixty percent are purchased from two suppliers. Sixty are purchased from the Hall electric and the rest from Harmon products. Five percent of the motors purchased from the Hall Electric need additional work, whereas 8% from Harmon products need additional work. An electric motor was selected at random and found to be defective. What is the probability it was purchased from Harmon product?
Click here to see answer by Theo(13342)

Question 1084046: An article in a journal reports that 23% of American fathers take no responsibility for childcare. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 200 fathers from Littleton yielded 54 who did not help with childcare. Find the P value for a test of the researcher�s claim.
a. 0.0038
b. 0.0019
c. 0.0529
d. 0.0901

Click here to see answer by Theo(13342)

Question 1084390: 6262% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is (a) exactly five, (b) at least six, and (c) less than four.
Click here to see answer by ikleyn(52776)

Question 1084393: Only 20% of the students in a certain liberal arts college are males.If two students from this college are selected at random, what is the probability that they are both males?
�� 0
�� 0.04
�� 0.40
�� 0.36
�� 0.25

Click here to see answer by ikleyn(52776)

Question 1084395: For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank. Each of the four systems will fail to detect theft with a probability of .01 independently of the others. What is the probability that when a theft occurs, none of four systems will detect it?
�� (.99)^4
�� (.01)^4
�� (.01) * 4
�� 4 * (.01) * (.99)^3
�� 4 * (.99) * (.01)^3

Click here to see answer by jorel1380(3719)

Question 1084400: For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank. Each of the four systems will fail to detect theft with a probability of .01 independently of the others.The bank, obviously, is interested in the probability that when a theft occurs, at least one of the four systems will fail to detect it. This probability is equal to:
�� (.99)^4
�� 1 - (.99)^4
�� (.01)^4
�� 1 - (.01)^4
�� none of these

Click here to see answer by math_helper(2461)

Question 1084335: 1 in every 2000 automobiles produced has a particular manufacturing defect. Use a binomial distribution to find the probability of finding 4 cars with the defect in in a random sample of 6500 cars.
Click here to see answer by Theo(13342)

Question 1084454: A distribution of values is normal with a mean of 150.4 and a standard deviation of 4.5.
Find P46, which is the score separating the bottom 46% from the top 54%.
Click here to see answer by rothauserc(4718)

Question 731400: A survey asks 1400 chief financial officers. �Has the economy forced you to postpone or reduce the amount of vacation you plan to take this year?� Thirty-one percent of those surveyed say they are postponing or reducing the amount of vacation. Twenty officers participating in the survey are randomly selected. The random variable represents the number of officers who are postponing or reducing the number of vacation.
a. Decide if the experiment is a Binomial experiment?
b. If it is identify a success.
c. Specify the values of n, p and q and list the possible values of the random variable x

Click here to see answer by Spatchett(1)

Question 1084498: solve the system of equation by Gauss elimination method
x+y+z=6;
3x+3y+4z=20;
2x+y+3z=13

Click here to see answer by Theo(13342)

Question 1084512: There are ten cards labelled 1 to 10. Jacky takes out two cards without replacing them. Find the probability that both show even numbers.
Thanks! Much appreciated.
Click here to see answer by Theo(13342)

Question 1084530: A population of values has a normal distribution with μ=17.9 and σ=94.8. You intend to draw a random sample of size n=47
What is the mean of the distribution of sample means?
μ_x-bar
Click here to see answer by Edwin McCravy(20054)

Question 1084560: Area under normal curve between 0 and 3.22 = P(0 < z < 3.22) = P(z < 3.22) � P(z < 0)=
Click here to see answer by Boreal(15235)

Question 1084559: Area under normal curve to the right of 1.73 = P(z > 1.73) =
Click here to see answer by Boreal(15235)

Question 1084558: Determine the value of z so that the area under the standard normal curve
(a) in the right tail is 0.0243. Round the answer to two decimal places.
z =
(b) in the left tail is 0.0434. Round the answer to two decimal places.
z =
Click here to see answer by Boreal(15235)

Question 1084557: Find the area under the standard normal curve between z equals negative 2.12 and z equals 0.
Round your answer to four decimal places.
Click here to see answer by Boreal(15235)

Question 1084533: A teacher informs his cell biology class (of 500+ students) that a test was very difficult, but the grades would be curved. Scores on the test were normally distributed with a mean of 26 and a standard deviation of 9. The maximum possible score on the test was 100 points. Because of partial credit, scores were recorded with 1 decimal point accuracy. (Thus, a student could earn a 26.6, but not a 25.31.)
The grades are curved according to the following scheme. Find the numerical limits for each letter grade.
A - Top 8%
B - Scores above the bottom 75%
and below the top 8%
C - Scores above the bottom 25%
and below the top 25%
D - Scores above the bottom 8%
and below the top 75%
F - Bottom 8%

Click here to see answer by stanbon(75887)

Question 1084491: A certain disease has an incidence rate of 0.7%. (This is percent of people in the population who have the disease.) The false negative rate is 5%; this is the percent of people who really have the disease, but test negative for it. The false positive rate is 3%; this is the percent of people who do not have the disease, but who test positive for it. Compute the probability that a person who tests positive actually has the disease.

Click here to see answer by jorel1380(3719)

Question 1061648: Tutors A certain disease has an incidence rate of 0.5%. If the false negative rate is 7% and the false positive rate is 2%, compute the probability that a person who tests positive actually has the disease.
Click here to see answer by jorel1380(3719)

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, 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