Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1040583: Studies show that, if she lives to be 90, about 1 woman in 7 (approximately 14.3%) will develop breast cancer. Suppose that of those women who develop breast cancer, a test is negative 2% of the time. Also suppose that in the general population of women, the test for breast cancer is negative about 85% of the time. Let B = woman develops breast cancer and let N = tests negative. Suppose one woman is selected at random.
a. What is the probability that the woman develops breast cancer? What is the probability that woman tests negative?
b. Given that the woman has breast cancer, what is the probability that she tests negative?
c. Given that the women tests negative, what is the probability that she has cancer?
Click here to see answer by Boreal(15235)   |
Question 1040579: Consider rolling two dices: One with 2 sides painted black and 4 painted red; the other with 3 sides painted blue and 3 sides painted yellow.
a. What is the probability of getting a black or a blue?
b. What is the probability of getting a red and a blue?
Click here to see answer by Boreal(15235) |
Question 1040402: A recent poll of 700 people who work indoors found that 278 of them smoke. If the researchers want to be 98% confident of their results to within 3.5%, how large a sample is necessary?
A.
532
B.
1301
C.
1062
D.
751
Click here to see answer by Boreal(15235) |
Question 1040617: ``Can you help me state my null and my alternative hypothesis for this question please? Thank you
An instructor believed that the students who earn a C or higher differ in the number of hours they spend studying, compared to students who receive a D or F. She collected the following data on two independent samples of students from a class of 150 students.''.
Click here to see answer by Boreal(15235) |
Question 1040595: Suppose ACT Reading scores are normally distributed with a mean of 21.4 and a standard deviation of 6.4. A university plans to award scholarships to students whose scores are in the top 5%. What is the minimum score required for the scholarship? Round your answer to the nearest tenth, if necessary
Click here to see answer by Boreal(15235) |
Question 1040676: A poll was taken to determine the birthplace of a class of college students. Below is a chart of the results.
What is the probability that a female student was born in Orlando?
What is the probability that a male student was born in Miami?
What is the probability that a student was born in Jacksonville?
Gender Number of students Location of birth
Male 10 Jacksonville
Female 16 Jacksonville
Male 5 Orlando
Female 12 Orlando
Male 7 Miami
Female 9 Miami
Click here to see answer by solver91311(24713)  |
Question 1040581: The Internal Revenue Service is studying the category of charitable contributions. A sample of 36 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than $100,000. Of these 36 returns, 6 had charitable contributions of more than $1,000. Suppose 5 of these returns are selected for a comprehensive audit.
Click here to see answer by Fombitz(32388)  |
Question 1040582: The Internal Revenue Service is studying the category of charitable contributions. A sample of 36 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than $100,000. Of these 36 returns, 6 had charitable contributions of more than $1,000. Suppose 5 of these returns are selected for a comprehensive audit.
a You should use the hypergeometric distribution is appropriate. Because
b.
What is the probability exactly one of the five audited had a charitable deduction of more than $1,000? (Round your answer to 4 decimal places.)
Probability
c.
What is the probability at least one of the audited returns had a charitable contribution of more than $1,000? (Round your answer to 4 decimal places.)
Click here to see answer by solver91311(24713) |
Question 1040479: 1.
1. Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 ($1).
a. Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.)
Xi
2
1
P(xi)
b. What is Miguels expected value from playing the game?
c. Based on the expected value in the previous step, how much money should Miguel expect to win or lose each time he plays?
d. What value should be assigned to choosing two chips with the number 1 to make the game fair? Explain your answer using a complete sentence and/or an equation.
Click here to see answer by stanbon(75887) |
Question 1040899: Ten students participated in a raffle to win a new computer. There are two new computers being given away, and two students will be chosen at random, one at a time, without replacement. How many possible ways are there to choose the two students?
Click here to see answer by jorel555(1290) |
Question 1040928: Use the following list of resting pulse rates of 55 people. The mean of these rates is 73.5, and the standard deviation is approximately 13.2.
50, 51, 51, 53, 53, 53, 55, 56, 56, 57, 58, 58, 59, 59, 60
60, 60, 60, 62, 62, 64, 65, 65, 65, 68, 68, 69, 71, 71, 72
72, 73, 75, 76, 77, 78, 78, 81, 81, 81, 82, 82, 82, 82, 83
85, 85, 85, 88, 88, 90, 90, 91, 91, 92
Determine the pulse rates that are within 1 standard deviation of the mean. What percentage of the total to the nearest 0.1 percent do these rates represent?
Click here to see answer by stanbon(75887) |
Question 1041004: A commercial jet aircraft has four engines. For an aircraft in flight to land safely, at least two engines should be in working condition. Each engine has an independent reliability of 92%. What is the probability that the aircraft will land safely?
Click here to see answer by Fombitz(32388) |
Question 1040957: A bag contains 20 marbles, 3 are colored red, 6 are colored green, 4are colored blue, 2 are colored white and 5 are colored yellow. One ball is selected at random. Find the probabilities of the following events.
(a) the ball is either red or green
(b) the ball is not blue
(c) the ball is either red or white or blue.
Click here to see answer by Fombitz(32388) |
Question 1041007: A sample of the hourly wages of employees who work in a restaurant in Siem Reap has the mean of $5.02 and a standard deviation of $0.09. Using the Chebyshev's Theorem, find the range in which at least 75% of the date values fall.
Click here to see answer by robertb(5830)  |
Question 1041029: Determine the binomial probability formula given the number of trials and the success probability for Bernoulli trials. Let X denote the total number of successes. Round to three decimal places.
a) n = 6, p = 0.6, P(X = 1)
b) n = 4, p = , P(X = 1)
Click here to see answer by stanbon(75887) |
Question 1041056: A psychologist studied self-esteem scores and found the data set to be normally distributed with a mean of 50 and a standard deviation of 6.
1: What is the z-score associated with a raw score of 47?
2: A raw score of 47 is associated with what percentile?
3: What are the z-scores that mark the middle 95% of this distribution?
4: What is the raw score below the mean?
5: What is the raw score above the mean?
6: What is the median of this distribution?
Click here to see answer by stanbon(75887) |
Question 1041052: About 30% of adults in United States have college degree.
(probability that a person has college degree is p = 0.30).
If N adults are randomly selected, find probabilities that
1) exactly X out of selected N adults have college degree
2) less than X out of selected N adults have college degree
3) greater than X out of selected N adults have college degree
Choose your numbers for N and X.
You can use Excel Function Binomdist
Click here to see answer by stanbon(75887) |
Question 1041069: A multiple choice test consists of four questions. Each question has five possible answers of which only one is correct. A student guesses on every question. Find the probability distribution of X, the number of questions she answers correctly.
Table with x and P(X=x)
x= 1, 2, 3, 4 then
P(X=x)?
Click here to see answer by stanbon(75887) |
Question 1041069: A multiple choice test consists of four questions. Each question has five possible answers of which only one is correct. A student guesses on every question. Find the probability distribution of X, the number of questions she answers correctly.
Table with x and P(X=x)
x= 1, 2, 3, 4 then
P(X=x)?
Click here to see answer by robertb(5830) |
Question 1041068: A bag contains 7 red marbles and 8 green marbles. Anne picks 3 marbles at random, with replacement, and observes the color of each marble. The number of green marbles, X, is a binomial random variable. If we let success correspond to getting a green marble, what is the success probability, p? What is the number of trials?
Click here to see answer by stanbon(75887) |
Question 1040977: A random sample of 450 shoppers at Quincy Mall found that 125 favored longer shopping hours. Is this sufficient evidence at the 0.05 level of significance to conclude that less than 30% of the shoppers at Quincy Mall favor longer hours? (Write all five steps of the significance test)
Click here to see answer by stanbon(75887) |
Question 1041094: A commercial jet aircraft has four engines. For an aircraft in flight to land safely, at least two engines should be in working condition. Each engine has an independent reliability of 92%. What is the probability that the aircraft will land safely?
Click here to see answer by ikleyn(52752)  |
Question 1041094: A commercial jet aircraft has four engines. For an aircraft in flight to land safely, at least two engines should be in working condition. Each engine has an independent reliability of 92%. What is the probability that the aircraft will land safely?
Click here to see answer by robertb(5830) |
Question 1041050: A multiple choice test consists of four questions. Each question has five possible answers of which only one is correct. A student guesses on every question. Find the probability distribution of X, the number of questions she answers correctly.
Click here to see answer by Fombitz(32388) |
Question 1041095: A bond analyst is analyzing the interest rates for equivalent municipal bonds issued by two different states. At α = 0.05, is there enough evidence to conclude that there is a difference in the interest rates paid by the two states?
State A
State B
Sample size
70
70
Mean interest rate (%)
3.6
4.0
Population variance
0.04
0.05
Yes, because the test value 11.16 is outside the critical region
Yes, because the test value 3.11 is outside the critical region
Yes, because the test value 124.44 is outside the critical region
No, because the test value 0.01 is inside the critical region
A marketing firm asked a random set of married and single men how much they were willing to spend on a vacation. Is there sufficient evidence at α = 0.05 to conclude that is there a difference in the two amounts? (Hint: This is z test of two means, follow the procedure in Section 9 - 1, variance is sigma squared )
Married men
Single men
Sample size
40
50
Sample mean
$920
$845
Population variance
5700
9100
No, because the test value 0.23 is inside the critical region .
Yes, because the test value 4.16 is outside the critical region .
Yes, because the test value 1.60 is inside the critical region .
No, because the test value 1.60 is outside the critical region .
10 points Save Answer
QUESTION 4
If the probability of a type II error in a hypothesis test is 0.25, and 0.05, then the power of this test is
0.05
0.25
0.75
0.95
According to Beautiful Bride magazine, the average age of a groom is now 26.2 years. A sample of 16 prospective grooms in Chicago revealed that their average age was 26.6 years with a standard deviation of 5.3 years. What is the test value for a t test of the claim? (Hint: Since the population standard deviation is unknown use t test value, section 8 - 3)
1.81
0.30
0.59
2.13
A recent survey indicated that the average amount spent for breakfast by business managers was $7.58 with a standard deviation of $0.42. It was felt that breakfasts on the West Coast were higher than $7.58. A sample of 81 business managers on the West Coast had an average breakfast cost of $7.65. (Hint: Find the z test value and P - value is a tail probability for this one tailed test)
Find the P-value for the test.
0.4332
0.2734
0.1325
0.0668
For a random sample of 23 European countries, the variance on life expectancy was 7.3 years. What is the 95% confidence interval for the variance of life expectancy in all of Europe?
An economics professor randomly selected 100 millionaires in the United States. The average age of these millionaires was 54.8 years. If the standard deviation of the entire population of millionaires is 7.9 years, find the 95% confidence interval for the mean age of all United States millionaires. (Hint: Since the population standard deviation is known use z confidence interval)
A lumber mill is tested for consistency by measuring the variance of board thickness. The target accuracy is a variance of 0.0035 square inches or less. If 30 measurements are made and their variance is 0.006 square inches, is there enough evidence to reject the claim that the standard deviation is within the limit at = .01? (Hint: Chi squre test of a variance)
Yes, since the χ2 test value 49.71 is greater than the critical value 49.588.
No, since the χ2 test value 9.23 is less than the critical value 49.588.
Yes, since the χ2 test value 49.71 is less than the critical value 50.892.
No, since the χ2 test value 9.23 is less than the critical value 50.892.
68% of students at a university live on campus. A random sample found that 24 of 40 male students and 43 of 55 of female students live on campus. At the 0.05 level of significance, is there sufficient evidence to support the claim that a difference exists between the proportions of male and female students who live on campus? (Hint: This is z test of two proportions, follow the procedure in Section 9 - 4)
Yes, because the test value 20.26 is outside the noncritical region 1.96 < z < 1.96.
No, because the test value 0.96 is inside the noncritical region 1.96 < z < 1.96.
Yes, because the test value 4.21 is outside the noncritical region 1.96 < z < 1.96.
No, because the test value 1.92 is inside the noncritical region 1.96 < z < 1.96.
3 squirrels were found to have an average weight of 9.3 ounces with a sample standard deviation is 1.1. Find the 95% confidence interval of the true mean weight. (Hint: Since the population standard deviation is unknown use t-distribution with 2 degrees of freedom)
A scientist claims that only 65% of geese in his area fly south for the winter. He tags 55 random geese in the summer and finds that 17 of them do not fly south in the winter. If = .05, is the scientist's belief warranted? (Hint: Z test of proportion)
Yes, because the test value 0.64 is in the noncritical region.
No, because the test value 0.70 is in the critical region.
Yes, because the test value 0.70 is in the noncritical region.
No, because the test value 0.64 is in the noncritical region.
A recent study of 750 internet users in Europe found that 35% of internet users were women. What is the 95% confidence interval of the true proportion of women in Europe who use the internet? (Hint: Confidence interval proportion, use z confidence interval, Section 7 - 3)
What is the value for for a 95% confidence interval when n = 18? (Hint: for 95 % confidence each tail should be 2.5 %)
7.564
8.672
9.390
8.231
A recent survey reported that in a sample of 300 students who attend two-year colleges, 105 work at least 20 hours per week. Additionally, in a sample of 225 students attending private four-year universities, only 20 students work at least 20 hours per week. What is the test value for a test of the difference between these two population proportions? (Hint: Section 9.4)
6.95
7.61
2.38
4.18
Using the z table, determine the critical values for a two-tailed test when α = 0.03.
± 1.88
± 2.17
± 0.18
± 0.06
Click here to see answer by ikleyn(52752) |
Question 1041104: An advertising company know that the probability that a given person will see the advertisement on TV in 25% and the probility that a given person will see the advertisement on newspapers is 30%. What is the probability that a given person will see the advertisement on TV or newspaper or both?
(Assume independence)
Click here to see answer by Boreal(15235) |
Question 1041163: You bought 5 raffle tickets for an I-Pod Touch at a fundraiser. 2000 tickets were sold in total. You bought 2 tickets for an MP3 player. 1000 tickets were sold. What are the chances that you will win both? Use a formula to find a solution
Click here to see answer by Boreal(15235) |
Question 1041163: You bought 5 raffle tickets for an I-Pod Touch at a fundraiser. 2000 tickets were sold in total. You bought 2 tickets for an MP3 player. 1000 tickets were sold. What are the chances that you will win both? Use a formula to find a solution
Click here to see answer by ikleyn(52752) |
Question 1041091: The U.S department of health and human services report that 18% of Americans have chronic sinusitis. If 5 people are select at random, what is the probability that at least 3 of them have chronic sinusitis?
Click here to see answer by Boreal(15235) |
Question 1041051: A bag contains 7 red marbles and 8 green marbles. Anne picks 3 marbles at random, with replacement, and observes the color of each marble. The number of green marbles, X, is a binomial random variable. If we let success correspond to getting a green marble, what is the success probability, p? What is the number of trials?
Click here to see answer by solver91311(24713) |
Question 1041003: A commercial jet aircraft has 4 engines. In order for an aircraft in flight to land safely, at least 2 engines should be in working condition. Each engine has an independent reliability of 92%. a. What is the probability that an aircraft in flight can land safely? b. If the answer to part a. above has to be at least 99.5%, what is the minimum value for p?
Click here to see answer by ikleyn(52752) |
Question 1041210: The amount of caffeine in an 8 oz. energy drink is approximately normally distributed with a mean of 101 mg. and a standard deviation of 37.4 mg. Determine:
a) The proportion (percentage) of 8oz. energy drinks that are expected to contain less than 71 mg. of caffeine.
b) The proportion (percentage) of 8 oz. energy drinks that are expected to contain between 65 and 125mg. of caffeine
c) The percent of 8 oz. energy drinks that are expected to contain greater than 150 mg. of caffeine
Click here to see answer by stanbon(75887) |
Question 1041208: A coin is tossed 200 times and it lands heads up 115 times. At the 5% significance level, is there sufficient evidence to claim that the coin is not equally likely to land heads or tails?
(a) State the null & alternative hypotheses.
H0:
Ha:
p-value = _______
Decision: ___________ (Reject, Fail to reject) H0.
Interpretation: In Words
Click here to see answer by stanbon(75887) |
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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, 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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, 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