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Question 240767: six cards are to be drawn or delt, without replacement, from a deck of 52 cards. In how many ways can this be done if
A. all of the cards to be drawn are clubs?
B. All are to be jacks or queens?
C. None are to be aces?
D. All are to be spades or all not spades?
Click here to see answer by edjones(8007)

Question 240765: accordin to goverment data, the probability that an adult was never married is 15%, in a random survey of 10 adults, what is the probability that at least 8 were married?
Click here to see answer by stanbon(75887)

Question 240758: how many different arrangements can be made using two of theletters of the word texas if no letter is to be used more than once?
Click here to see answer by edjones(8007)

Question 240859: Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $110,000. This distribution follows the normal distribution with a standard deviation of $40,000.
a. If we select a random sample of 50 households, what is the standard error of the mean?
b. What is the expected shape of the distribution of the sample mean?
c. What is the likelihood of selecting a sample with a mean of at least $112,000?
d. What is the likelihood of selecting a sample with a mean of more than $100,000
e. What is the likelihood of selecting a sample with a mean of more than $100,000 but less than $112,000?

Click here to see answer by stanbon(75887)

Question 240887: what is the probability of having exactly 3 girls out of five children?

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Question 240949: In statistics
Using the t value table
How do u find the lower tail area of .05 with 50 degrees of freedom?
Click here to see answer by Edwin McCravy(20054)

Question 240856: Find Z when:
The claim is that the proportion of drowning deaths of children attributable to beaches is more than 0.25, and the sample statistics include n = 657 drowning deaths of children with 30% of them attributable to beaches.
Click here to see answer by stanbon(75887)

Question 240984: Compute the test statistic used to test the null hypothesis that p1 = p2.
In a vote on the Clean Water bill, 53% of the 205 Democrats voted for the bill while 51% of the 230 Republicans voted for it.
Click here to see answer by stanbon(75887)

Question 241019: A box contains 3 red, 3 blue and 4 white socks. In how many ways can 8 socks be pulled out of the box, one at a time, if order is important?
Click here to see answer by nyc_function(2741)

Question 241210: the probability that 2 men in a group of 5 will still be working in 30 years is 3.5
What is the probability that 3 men in a group of 5 will still be working in 30 years?
can you also provide the formula with the answer?
thanks
Click here to see answer by stanbon(75887)

Question 241340: John tosses a coin three times in succession. He wins $1 for head on the first toss, $2 for head on the second toss and $3 for head on the third toss. For each tail he losses $1.5. Find John's expected winnings. I saw the problem where the expected value was 81.25 cents but that is not one of my available answers which are 0.75, 1, 0.68 and -0.75.

Click here to see answer by stanbon(75887)

Question 241336: From 4 cards bearing the numbers -2, -1, 0, 1, one card will be drawn at random. Let X be the square of the number on the card. Find the expectaion of X. I have worked on this for hours but never seem to come up with a an answer that matches any of these: a 1, c 2 c 1.75 or d 1.5.
Click here to see answer by stanbon(75887)

Question 241364: Given a 4 sided cube, with the numbers 1. 2. 3. 4. on each side, what would be the probability of rolling 2, 4 sided cubes and getting a sum of 5? whats the sample space and favorable outcome?
Click here to see answer by Edwin McCravy(20054)

Question 241296: 1)A sales promoter offers a special price for a scanner with a printer. The probabilities that each functions satisfactorily over three years are 0.68 and 0.72 respectively. What is the probability that at the end of the three years:
i) Both scanner and printer will function satisfactorily?
ii) Only the printer will be functioning?
iii) At least one of the two machines will be functioning? State any assumptions made.
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2)240 students were asked to taste three types of cola in a random order and were not told their identity. The contingency table below shows the counts of preferred colas classified by the subject specialism of students.

Cola A Cola B Cola C

Mathematics 13 23 44

Economics 36 24 10

Statistics 24 8 8

Management 11 28 11

Use These data to investigate the association, if any, between a student's subject specialism and preferred cola-type. Interpret any association which exists, testing at more than one significance level.
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3)The times required by three workers to perform an assembly-line task were recorded on five randomly selected occasions. Here are the times, to the nearest minute.

Hank Joseph Susan
8 8 10
10 9 9

9 9 10

11 8 11

10 10 9

Assuming the normality of populations under consideration, at the 5% significance level,
do the data provide sufficient evidence to conclude that a difference exists between the times required by three workers to perform an assembly-line task?

Your kind assistance is highly appreciated
Bahman Mennati

Click here to see answer by stanbon(75887)

Question 241382: Suppose that the probability that a new medication will cause a bad side effect is 0.03. If this medication is given to 150 people, what is the probability that more than three of them will experience a bad side effect? Round answer to 4 decimal places.
I think I know how to compute for "exactly three students," but I cannot figure out how to do "more than three students"
Here's how I approached "exactly three":
p = 0.03, q = 1 - p = 0.97, n = 150
P(r, n) = nCr (p)^r * (q)^(n - r)
P(3, 150) = 150C3 * 0.03^3 * 0.97^147 = 0.1691
Since I am trying to figure out how to do these types of problems on my own, please include the steps.
Thank you!

Click here to see answer by edjones(8007)

Question 241409: Can anybody help me with this question? The question is:
Develop a 90 percent confidence interval for the population mean. Interpret the results.
The Greater Pittsburgh Area Chamber of Commerce wants to estimate the mean time workers who are employed in the downtown area spend getting to work. A sample of the 15 workers reveals the following number of minutes spent traveling.
29 38 38 33 38 21 45 34
40 37 37 42 30 29 35
Develop a 98 percent confidence interval for the population mean. Interpret the results.
Thank you.
Click here to see answer by stanbon(75887)

Question 241395: I rolled a pair of number cubes 30 times. Heres a google spreadsheet webpage that shows what numbers I got:
http://spreadsheets.google.com/pub?key=tTcZez2zPqpi6D1a7RHTOcQ&output=html
There were many questions, but the ones I don't get are: Use your data to find the following experimental probabilities P(5) P(6) P(12) and P(36)
Make a chart to find the "SAMPLE SPACE" which I don't know how to do...
The other 5 questions I could understand.
Click here to see answer by stanbon(75887)

Question 241450: Is an ace considered a picture card in probability and statistics?
Click here to see answer by Alan3354(69443)

Question 241546: 1)The times required by three workers to perform an assembly-line task were recorded on five randomly selected occasions. Here are the times, to the nearest minute.

Hank Joseph Susan
8 8 10
10 9 9

9 9 10

11 8 11

10 10 9

Assuming the normality of populations under consideration, at the 5% significance level,
do the data provide sufficient evidence to conclude that a difference exists between the times required by three workers to perform an assembly-line task?

2)240 students were asked to taste three types of cola in a random order and were not told their identity. The contingency table below shows the counts of preferred colas classified by the subject specialism of students.

Cola C Cola B Cola A

44 23 13 Mathematics

10 24 36 Economics

8 8 24 Statistics

11 28 11 Management

Use These data to investigate the association, if any, between a student's subject specialism and preferred cola-type. Interpret any association which exists, testing at more than one significance level.

Click here to see answer by stanbon(75887)

Question 241777: How many four-digit numbers less than 6000 can be formed using the digits 2, 4, 6, 7, 8, and 9 with replacement? (i.e. digits can be repeated in the number, for example 2447 is acceptable.)
Click here to see answer by Edwin McCravy(20054)

Question 241734: Thirty-two percent of workers in the United States are
college graduates.You randomly select 50 workers and ask each if he or she
is a college graduate. (Source: U.S. Bureau of Labor Statistics)
(a) Find the probability that exactly 12 workers are college graduates.
(b) Find the probability that at least 14 workers are college graduates.
(c) Find the probability that fewer than 18 workers are college graduates.
(d) A committee is looking for 30 working college graduates to volunteer
at a career fair. The committee randomly selects 150 workers.What is
the probability that there will not be enough college graduates?
Click here to see answer by edjones(8007)

Question 241852: A sample of n = 100 observation drawn from a normal population , with standard deviation of 200 and mean of 1000. find probalilty that mean is greater than 1100.

Click here to see answer by stanbon(75887)

Question 241974: Grade Female Male
9th Female 4 Male 6
10th Female 5 Male 5
11th Female 4 Male 6
12th Female 8 Male 2
The Washington High School student Council has 40 representatives by grade and gender. One student council representative will be chosen at random to give a tour to a visitor. What is the probability that the representative will be either a female or in the 10th grade?
Click here to see answer by Theo(13342)

Question 242130: In a local university, 40% of the students live in the dormitories. A random sample of 80 students is selected for a particular study. The standard deviation of the sample propotion is known as the standard error of the proportion is approximately

Click here to see answer by stanbon(75887)

Question 242188: an advertisement claims that fasto stomach calm will provide relief from indigestion in less than 10 mins. for a test of the claim, 40 individuals were given the product; the average time until relief was 9.35 minutes. from past studies, the standard deviation of the population is known to be 2 minutes. can you conclude that the cliam is justified at a=0.05?
Click here to see answer by stanbon(75887)

Question 242177: Suppose that the average grade for all people who take this course in statistics is 83 with a standard deviation of 3.5. If your particular class has an average of 89, can you conclude that your class is better than average at the 90 percent confidence level? Label and describe each step of the hypothesis testing procedure, and be sure to specify whether this is a one-tailed or two-tailed test.
Please help, they did not give me a sample size and I am so lost.
Sincerely,
Sarah
Click here to see answer by stanbon(75887)

Question 242096: What is your decision (Reject or Fail to Reject the Null) given the p and alpha values?

P value Alpha Decision
0.01 0.005
0.01 0.05
0.20 0.25
0.03 0.01

Click here to see answer by stanbon(75887)

Question 242065: My defect rate is .00125
My sample size is 85
What is the probability that I will have three defects in my sample
Click here to see answer by stanbon(75887)

Question 242039: one out of every 5 americans believe that the us govt should take primary responsibility for elimanting poverty in the us. If 10 americans are selected find the probabality that at least 3 will believe that the us govt should take primary responsibilty for eliminating?
Click here to see answer by stanbon(75887)

Question 241992: There are four McBurger restaurants in the Columbus, Georgia, area. The numbers of burgers sold at the respective restaurants for each of the last six weeks are shown below. At the .05 significance level, is there a difference in the mean number sold among the four restaurants, when the factor of week is considered?
Restaurant
Week Metro Interstate University River
1 124 160 320 190
2 234 220 340 230
3 430 290 290 240
4 105 245 310 170
5 240 205 280 180
6 310 260 270 205

Click here to see answer by stanbon(75887)

Question 242306: Each year, the national Highway Traffic Safety Administration (NHTSA) together with the national Center for Statistics and Analysis (NCSA) publishes Traffic Safety Facts, which summarizes the motor vehicle traffic crash experience for the United States. Traffic Safety Facts 2005 includes trends data, crash data, vehicle data, and people data. Also, the NHTSA and NCSA publish a report summarizing the motor vehicle crash data of the 32 states in the NHTSA's State Data System.
In 2005, there were 43,443 fatalities in the United States as a result of motor vehicle crashes. The pie chart at the right shows the national distribution of traffic fatalities with respect to age group. For example, 16% of all motor vehicle fatalities were adults ages 25-34. Using the data from the 32 states in the NHTSA's State Data System as a sample, the contingency table shows the number of motor vehicle fatalities according to age and geographic location within the United States.

Motor Vehicle Fatalities
Age-- Under 16, 16-24, 25-34, 35-44, 45-54, 55-64, 65-74, 75+
Eastern U.S.-- 651, 3309, 2255, 2132, 1977, 1359, 941, 1354
Central U.S.-- 841, 3478, 2346, 2163, 1994, 1361, 939, 1190
Western U.S-- 414, 1655, 1154, 1021, 955, 668, 386, 498

Exercises
1. In 2005, how many people in the United States ages 16-24 died as a result of a motor vehicle crash?
2. Assuming the variables region and age independent, in which region did the number of motor vehicle fatalities for the 16-24 age group exceed the expected number of fatalities?
3. Assuming the variables region and age are independent, in which region did the number of motor vehicle fatalities for the 25-34 age group exceed the expected number of fatalities?
4. At alpha = 0.05, perform a chi-square independence test to determine whether the variable region and age are independent. What can you conclude?
In exercises 5-7, perform a chi-square goodness-of-fit test to compare the national distribution of motor vehicle fatalities with the distribution of each region of the United States. Use the national distribution as the claimed distribution. Use alpha = 0.05.
5. Compare the distribution of the sample of motor vehicle fatalities from the eastern United States with the national distribution. What can you conclude?
6. Compare the distribution of the sample of motor vehicle fatalities from the Central United States with the national distribution. What can you conclude?
7. Compare the distribution of the sample of motor vehicle fatalities from the western United States with the national distribution. What can you conclude?
8. In addition to the variables used in this case study, what other variables do you think are important considerations when studying the distribution of motor vehicle fatalities?
Click here to see answer by solver91311(24713)

Question 242279: Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, insulating materials, and lubricants in electrical equipment. Disposal of items containing less than 50 parts per million (ppm) PCB is generally not regulated. A certain kind of small capacitor contains PCB with a mean of 47.7 ppm and a standard deviation of ppm. The Environmental Protection Agency takes a random sample of 38 of these small capacitors, planning to regulate the disposal of such capacitors if the sample mean amount of PCB is 48.5 ppm or more. Find the probability that the disposal of such capacitors will be regulated.
Click here to see answer by stanbon(75887)

Question 242072: Of the coffee makers sold in an appliance store, 5.0% have either a faulty switch or a defective cord, 1.9% have a faulty switch, and 0.4% have both defects. What is the probability that a coffee maker will have a defective cord? Express the answer as a percentage.
a. 2.3%
b.3.5%
c. 5.4%
d. 5.0%
Click here to see answer by stanbon(75887)

Question 242364: A bag contains three red balls, five white balls and two green balls. If three balls are selected at random, with replacement, find the probability that the first two are red and third one is green.
Click here to see answer by edjones(8007)

Question 242390: A $100, $50, and $20 prize are to be awarded to three different people. If eight people are being considered for the prizes, how many different arrangements are possible?
Click here to see answer by nyc_function(2741)

Question 242422: Consider the experiment of drawing two cards without replacement from an ordinary deck of 52 playing cards.
#1. What are the odds in favor of drawing a spade and a heart?
Coin question...
What are the odds in favor of getting at least one head in three successive flips of a coin?

Click here to see answer by stanbon(75887)

Question 242433: Assuming a standard deviation of 6 hours, what is the required sample size if the error should be less than � hour with a 95% level of confidence?
Click here to see answer by stanbon(75887)

Question 242383: In Statistics, past data shows only 10% of students get a failing grade. If there are 10 students are in the course, what is the probability at most 1 will fail?
In Statistics, past data shows only 10% of students get a failing grade. If there are 10 students are in the course, what is the probability more than 1 will fail?
In Statistics, past data shows only 10% of students get a failing grade. If there are 10 students are in the course, what is the mean number of students who will fail?
A multiple-choice examination has 15 questions. Each question has 4 possible answers of which only 1 is correct. If you just guess the whole test, what is the probability of getting exactly 7 correct ?
Click here to see answer by edjones(8007)

Question 242539: Will you help me solve this problem:
A poker hand consist of five cards dealt at random from a deck of 52 cards. Find the probability of getting four aces?
Click here to see answer by stanbon(75887)

Question 242557: in a poll of women 18 and older, 70% of women polled felt their financial situation was better than their mothers. assume that this percentage is true fo the current populatiom of all women 18 and older. find the probability that the proportion of women in a random sample of 400 who hold this view is less than .73
Click here to see answer by stanbon(75887)

Question 242603: A package contains 12 sweaters, 3 of which are blue. If 4 are selected, find the probability of getting 1 blue sweater
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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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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