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

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Question 1114793: In a randomized clinical study, 154 women with breast cancer were assigned to receive chemotherapy. Another 165 women were assigned to receive chemotherapy combined with radiation therapy. Survival rates after 15 years are given in the following data, determine the Unadjusted Odds Ratio.
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Question 1114792: In a randomized clinical study, 154 women with breast cancer were assigned to receive chemotherapy. Another 165 women were assigned to receive chemotherapy combined with radiation therapy. Survival rates after 15 years are given From these data, determine the Unadjusted Odds Ratio.

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Question 1114805: There are 100 patients in a hospital with a certain disease. Of these, 10 are selected to undergo a drug treatment that increases the percentage cured rate from 50 percent to 75 percent. What is the probability that the patient received a drug treatment if the patient is known to be cured?
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Question 1114814: A stock's price is expected to vary between $10 and $20 over the next 6 months. It currently costs $12. If each possible value for the stock is equally likely to occur, then what is the theoretical probability that I will make money purchasing this stock?
Pretend that stock prices can only be whole-dollar amounts.

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Question 1114806: Consider an experiment of drawing two cards at random from a bag containing four cards marked with the letters a through d. a) Find the sample space S , of the experiment if the first card is replaced before the second is drawn. b) Find the sample space S, of the experiment if the first card is not replaced.
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Question 1114806: Consider an experiment of drawing two cards at random from a bag containing four cards marked with the letters a through d. a) Find the sample space S , of the experiment if the first card is replaced before the second is drawn. b) Find the sample space S, of the experiment if the first card is not replaced.
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Question 1114842: In a recent presidential election, 611 voters were surveyed and 308 of them said that they voted for the candidate who won (based on data from the ICR Survey Research Group). Find a 99% confidence interval estimate of the percentage of voters who said that they voted for the candidate who won.
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Question 1114837: find the z- score that bound the middle 74% of the area under the standard normal curve
1) -1.07,1.07
2)-0.99,0.99
3)-1.13,1.13
4)-1.24,1.24

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Question 1114852: A single die is rolled twice. Find the probability of getting two numbers whose sum is greater than 10.
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Question 1114854: Amy, Jean, Keith, Tom, Susan, and Dave have all been invited to a birthday party. They arrive randomly and each person arrives at a different time. In how many ways can they arrive? In how many ways can Jean arrive first and Keith last? Find the probability that Jean will arrive first and Keith will arrive last.
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Question 1114853: An apartment complex offers apartments with four different options, designated by A through D.
A = number of bedrooms (one through four)
B = number of bathrooms (one through three)
C = floor (first through fifth)
D = outdoor additions (balcony or no balcony)
How many apartment options are available? Apply the Fundamental Counting Principle with two groups of items.

Click here to see answer by Theo(13342) About Me 
Question 1114853: An apartment complex offers apartments with four different options, designated by A through D.
A = number of bedrooms (one through four)
B = number of bathrooms (one through three)
C = floor (first through fifth)
D = outdoor additions (balcony or no balcony)
How many apartment options are available? Apply the Fundamental Counting Principle with two groups of items.

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

Question 1114904: The mean of ten positive numbers is 16. When another number is added the mean is 18. Find the other number
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Question 1114904: The mean of ten positive numbers is 16. When another number is added the mean is 18. Find the other number
Click here to see answer by rothauserc(4718) About Me 

Question 1114901: A survey found that 6 out of 9 students in a district ride the bus. If there are 5,400 students in the district, what is a reasonable prediction for the number of students who would ride the bus?
Click here to see answer by rothauserc(4718) About Me 

Question 1114900: A market research is conducting a telephone poll. She has a list of 581 registered voters and wishes to interview a random sample of 12 of them. Construct a list of 12 random numbers
between 1 and 581 that can be used in obtaining the required simple random sample. Use the random number table and use as your starting point the digit 432 in row 13, columns 10-12.
I don’t understand what does the question want me to do. What does ‘use as your starting point the digit 432 in row 13, columns 10-12.‘ means?
Thanks

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Question 1114903: There is a probability of a man to live 20 more years and his wife to live 20 more years.
What is the probability of;
1) both to live 20 more years?
2) At least one person to live 20 more years?
3) Only the man to live 20 more years?
4) Only his wife to live 20 more years?
5) man or the wife to live 20 more years?
6) At least one person NOT to live 20 more years

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

Question 1114932: Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion.
Claim: The mean time between uses of a TV remote control by males during commercials equals 5.00 sec.
Sample data: n = 81, x = 5.25 sec, s = 2.80 sec. The significance level is α = 0.01.

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Question 1114943: A baseball player has a batting average of 0.346, so the probability of a hit is 0,346. Assume that his hitting attempts are independent of each other. Assume that the batter gets up to bat 4 times in each game. Estimate the probability that in 50 consecutive games, there are at least 45 games in which the batter gets at least one hit.
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Question 1114939: Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Suppose that 700 couples each have a baby; find the mean and standard deviation for the number of boys in the 700 babies.
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Question 1114983: Listed below are systolic blood pressure measurements​ (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.01 significance level to test for a difference between the measurements from the two arms. What can be​ concluded?
Right arm
143
151
144
135
130

Left arm
175
165
173
141
142
In this​ example, mu Subscript d is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis​ test?

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Question 1114931: A librarian claims that the mean number of books read per month by community college students is less than 2 books. A random sample of 28 community college student had read a mean of 1.2 books with a standard deviation of 2.14 books. Test the librarian's claim at the 0.01 level of significance.
A. State the hypotheses and claims
(what I put) H_0: p>=2 H_1: p<2
H_1 is the claim
B. Find the critical values
(what I put) if alpha=0.01, the critical values should be +/- 2.33
C. Compute the test value
(no idea)
D. Make the decision to accept or reject H_0

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Question 1115001: Suppose the mean heights all sixth-grade students follow normal distribution with mean 50 inches and standard deviation 3 inches.
Find the probability to get an individual exceeds 56 inches?

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Question 1115009: Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a jack and then, without replacement, another jack?
fraction or decimal please

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Question 1115003: Suppose you take a sample of 250 students. Give the shape, center and standard-deviation of the sampling distribution of samples means. Find the probability that a sample mean is below 52.5 inches.
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Question 1115013: Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a jack and then, without replacement, a king?
Fraction or decimal please thank you

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Question 1114783: A researcher wishes to estimate the proportion of adults who have​ high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.02 with 99​% confidence if
​(a) she uses a previous estimate of 0.36​?
​(b) she does not use any prior​ estimates?

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Question 1114596: Probability is a measure of the likelihood and can be stated as a ratio, percentage or generally as a number between zero and one.
a) What is the probability when the likelihood is impossible?
b) What is the probability when the likelihood is certain?

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Question 1115051: that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, three green ones, two white ones, and one purple one. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms.
She has all the red ones.

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Question 1115053: whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, three white ones, and two purple ones. She grabs five of them. Find the probability of the following event, expressing it as a fraction in lowest terms.
She has two red ones and one of each of the other colors.

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Question 1115108: whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, three green ones, four white ones, and one purple one. She grabs five of them. Find the probability of the following event, expressing it as a fraction in lowest terms.
She has two green ones and one of each of the other colors.

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Question 1115164: Suppose for a given group of people, the mean height is 5.8 ft with a standard deviation of .1 ft, and let the data fall under a normal distribution. Answer the following questions using this information. Round answers to the second decimal place if needed.

a) Between what two heights does the middle 68% of the data lie?

Answer: Answer
and Answer

b) What percentage of the group is between 5.6 ft and 5.9 ft?

Answer: Answer
%

c) What percentage of the group is above 6.1 ft?

Answer: Answer
%

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

Question 1115170: whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, three white ones, and one purple one. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms.
She does not have all the green ones.

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

Question 1115191: Suppose the mean heights all sixth-grade students follow normal distraction with mean 50 inches and 3 inches?
Suppose you take a sample of 250 students. Give the shape, center and standard-deviation of the sampling distribution of samples means. Find the probability that a sample mean is below 52.5 inches?

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

Question 1115183: Suppose probability of a person to have type AB is 6%.
Pick 5 people at random then
Find the probability that exactly one to have type AB? List all combinations?
Find the probability that none to have type AB? List all combinations?
Find the probability that exactly 2 to have type AB? (you should get 10 combinations?) Show your combinations first then your answer?

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Question 1115253: A motel has a policy of booking as many as 150 guests in a building that holds 140. Past studies that only 85% of booked guests show up for their room. Find the probability that if the motel books 150 guests, not enough seats will be available.
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Question 1115286: At a college, 55% of the students pass Math, 70% pass Biology, and 25% pass both of these courses. If a student is selected at random, Find the probability that a student passes Math given that he passed Biology.
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Question 1115285: In a town, 30% of the men and 25% of the women are overweight. If the town has 55% men and 45% women, what percent of the people are overweight?
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Question 1115289: Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled.
The red one is 4, given that the sum is 9.

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Question 1115289: Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled.
The red one is 4, given that the sum is 9.

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Question 1115335: Educators claim that 75% of all high school students will attend college next fall. At Beechnut High School, with an enrollment of 818 seniors, a study found 645 will attend college in the fall. At = 0.05, test the claim that at least 75% of all high school students will attend college in the fall. Use the P-value method.
A) With a test value of 2.54, the P-value > 0.05. Do not reject the null hypothesis.
B) With a test value of 2.54, the P-value < 0.05. Reject the null hypothesis.

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Question 1115320: (0.040,0.106
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Question 1115320: (0.040,0.106
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Question 1115361: State the null and alternative null hypothesis:
Does cocaine use by pregnant women cause their babies to have lower birth weight? To study this question, birth weights of babies of women who tested positive for cocaine/crack during a drug screening test were compared with the birth weights for women who either tested negative or were not tested, a group we call “other.” Here are the summary statistics. The birth weights are measured in grams. Data are from a study conducted at the Medical University of South Carolina in 1989. Do not pool.
Positive test - n=134, mean = 2733, std. dev = 599
Other - n=5974, mean = 3118, std. dev= 672
I got:
H₀: μpositive-μother=0 for null and
H₀: μpositive-μother<0 for alternative
I just need to know if this is correct or not and why I would equate the hypothesis to 0

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Question 1115350: A simple random sample of 120SAT scores has a mean of 1500. Assume that scores have a standard deviation of 175.construct a 99% confidence interval estimate of the mean SAT score.

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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, 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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, 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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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