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Question 266304: In Los Angeles there are three network television stations, each with it own evening news program from 6:00 to 6:30 PM. According to a report in this morning�s local newspaper, a random sample of 150 viewers last night revealed 53 watched the news on KNBC (channel 2), 64 watched KABC (channel 7), and 33 viewed KCBS (channel 2). At the 0.05 significance level, is there a difference in the proportion of viewers watching the three channels?
State the null and alternative hypothesis.

2. Identify the level of significance: Given at 0.05
3. Calculate the test statistic

4. Formulate the decision rule.

5. Make a decision.

Click here to see answer by cr7_2010(1)

Question 346752: In how many different ways can 15 tickets to a football game be distributed among a class of 30 students if each student gets at most one ticket?
Click here to see answer by nyc_function(2741)

Question 346733: If it was known that a population of 1000 parts has a standard deviation of 0.02 seconds, what size sample would be required to maintain an error no greater than 0.005 seconds with a confident level of 95%?
Click here to see answer by stanbon(75887)

Question 346628: If a store produces a large number of 1 pound candy bags and 22% contain slightly less than 1 pound. If 17 bags are randomly chosen what is the probability that 4 will contain less than 1 pound?
Click here to see answer by stanbon(75887)

Question 346952: A number cube labled 1-6 is rolled 3 times. What is the probablility that the next roll will produce a number greater than 4?
Click here to see answer by rfer(16322)

Question 347018: A three digit number is chosen at random. What is the probability that either all the digits are odd or all the digits are even? Assume the first digit is not zero and that zero is even.
Click here to see answer by edjones(8007)

Question 347038: 5. The Centers for Disease Control have determined that when a person is given a vaccine, the probability that the person will develop immunity to a virus is 0.8. If 7 people are given this vaccine, find the probability that
a. at least five will develop immunity

b. exactly four will develop immunity

c. all will develop immunity

Click here to see answer by edjones(8007)

Question 347075: 1.We have a Poisson distribution with mean = 4. Find P(X = 3), P(X < 3), P(X <= 3), P(X > 3), the variance, and standard deviation.

2.Three members of a club will be selected to serve as officers. The first person selected will be president, the second person will be vice-president and the third will be secretary/treasurer. How many ways can these officers be selected if there are 30 club members?
A) 90
B) 27000
C) 52360
D) 4060
E) 24,360

Click here to see answer by stanbon(75887)

Question 347073: The chance of getting a particular disease sometime during your lifetime is estimated at 1 in 20.
Smoking increases the risk of developing the disease during your lifetime by 10%.
How many people out of a group of 1000 smokers would you expect to get the disease sometime during their lifetime?
Click here to see answer by stanbon(75887)

Question 347050: A multiple choice exam consists of 12 questions, each having 5 possible answers. To pass, you must answer at least 9 out of 12 questions correctly. What is the probability of passing if:
a. you go into the exam without knowing a thing, and have to resort to pure guessing?
b. you have studied enough so that on each question, 3 choices can be eliminated. But then you have to make a pure guess between the remaining 2 choices.
c. you have studied enough so that you know for sure the correct answer on 2 questions. For the remaining 10 questions you have to resort to pure guessing.
Click here to see answer by stanbon(75887)

Question 347109: a man answered 28 out 40 questions correctly. If 70 % correct is passing , did he pass the test?.
Click here to see answer by stanbon(75887)

Question 347115: If X and Y are independent random variables and if x has variable 5 and y has 2 then the variance of 3x+2y is ?
Click here to see answer by stanbon(75887)

Question 347150: Facts:
Random sample of 44
Standard deviation of 2.4
Point estimate of 7.59
Obtain an approximate 95.44% confidence interval for the mean number of young.
This is my response 2*2.4=4.8 x-4.8 = 7.59-4.8 = 2.79 x+4.8=7.59+4.8=12.39, so 95.44% certain between 2.79 and 12.39.
Can you please tell me if I have done this correct. Thank you for all of your help.

Click here to see answer by stanbon(75887)

Question 347206: 5. The Centers for Disease Control have determined that when a person is given a vaccine, the probability that the person will develop immunity to a virus is 0.8. If 7 people are given this vaccine, find the probability that
a. at least five will develop immunity

b. exactly four will develop immunity

c. all will develop immunity

Click here to see answer by Fombitz(32388)

Question 347197: A baseball player has a batting average of .343 and has 3 times at bat. Draw a probability tree diagram.
Click here to see answer by Edwin McCravy(20054)

Question 347326: Assuming that no questions are omitted, in how many ways can a six question true false quiz be answered?
Click here to see answer by stanbon(75887)

Question 347326: Assuming that no questions are omitted, in how many ways can a six question true false quiz be answered?
Click here to see answer by edjones(8007)

Question 347327: Assuming that no questions are omitted, in how many ways can a six question true false quiz be answered?
Click here to see answer by stanbon(75887)

Question 347327: Assuming that no questions are omitted, in how many ways can a six question true false quiz be answered?
Click here to see answer by checkley77(12844)

Question 347135: A sample of 100 savings accounts at a certain bank showed that 20 were overdrawn. Another sample of 125 current accounts of the bank showed that 30 were overdrawn. Test, at a 0.02 level of significance, the null hypothesis that there is no difference in the proportion of overdrawn accounts.

Click here to see answer by stanbon(75887)

Question 347515: Dear tutors I would be very grateful for you help to this question :
A small drugstore orders copies of a certain magazine for its magazine rack each week. Let X equal the demand for the magazine, that is, the number of customers who desire to buy the magazine in a week. Assume the pmf of X is as follows:
X: 1 2 3 4 5 6
f(x): 1/15 2/15 3/15 4/15 3/15 2/15

Suppose the store owner actually pays $1.00 for each copy of the magazine and charges customers $2.00. If the magazines have no salvage value, is it better to order 3 or 4 copies of the magazine? Hint: Consider the expected profit to the drugstore
Click here to see answer by solver91311(24713)

Question 347578: could you please help me with my probability assignment. I am having troubles answering the questions.
6. In a certain game with a pair of dice, if you throw an even number you win $1, if you throw a 9 you win $2, otherwise you lose $1.50.
a.) Determine the probability table for this game.
b.) Find the average profit.
c.) Is this a fair game?
7.
a.) write down the sample space associated with rolling two ordinary six-sided dice.
b.) suppose we take the (absolute) difference between the numbers showing when the two dice are rolled. Write down the possible differences, together with their relevant probabilities.
c.) Determine the expected value, variance and standard deviation of the difference between the dice.
d.) Write down the 95% confidence interval for this experiment.

Click here to see answer by stanbon(75887)

Question 347576: could you please help me with my probability assignment. I am having troubles answering the questions.
3. For the probability distribution table below:
x=1 Pr(X)=a ,x=2 Pr(X)=0.1 ,x=3 Pr(X)=2a ,x=4 Pr(X)=0.2 ,x=5 Pr(X)=3a ,x=6 Pr(X)=0.3 ,x=7 Pr(X)=2a.
a.) Determine the value of a so that the table represents a valid probability distribution
b.) Calculate the expected value of the distribution.
4. Consider a probability distribution defined by the rule;
P(x) =2x+1/35, for x=1, 2, 3, 4, 5.
a.) Confirm that this is a valid probability distribution.
b.) Calculate E(X).
c.) Calculate E(X^2).
d.) E(3X)
e.) Var(X)
f.) SD(X)

Click here to see answer by jim_thompson5910(35256)

Question 347660: At least one-half of an airplane's engines are required to function in order for it to operate. If each engine independently functions with probability .8, is a 4-engine plane more likely to operate than a 2-engine plane?
Click here to see answer by Fombitz(32388)

Question 347681: A real estate agent in the coastal area of Georgia wants to compare the variation in the
selling price of homes on the oceanfront with those one to three blocks from the ocean.
A sample of 21 oceanfront homes sold within the last year revealed the standard deviation
of the selling prices was $45,600. A sample of 18 homes, also sold within the last
year, that were one to three blocks from the ocean revealed that the standard deviation
was $21,330. At the .01 significance level, can we conclude that there is more variation
in the selling prices of the oceanfront homes?

Click here to see answer by stanbon(75887)

Question 347677: Grand Strand Family Medical Center is specifically set up to treat minor medical emergencies for visitors to the Myrtle Beach area. There are two facilities, one in the Little
River Area and the other in Murrells Inlet. The Quality Assurance Department wishes to
compare the mean waiting time for patients at the two locations. Samples of the waiting
times, reported in minutes, follow:
Location Waiting Time
Little River 31.73 28.77 29.53 22.08 29.47 18.60 32.94 25.18 29.82 26.49
Murrells Inlet 22.93 23.92 26.92 27.20 26.44 25.62 30.61 29.44 23.09 23.10 26.69 22.31
Assume the population standard deviations are not the same. At the .05 significance level,
is there a difference in the mean waiting time?

Click here to see answer by stanbon(75887)

Question 347582: 1-the graduate selection committee wants to select the top 10% of applicants. On a standardized test with a mean of 500 and a standard diviation of 100, what would be the cutoff score for selecting the top 10% of applicants, assuming that test is normally distributed?
2- The average commute time via train from the chicago O'Hare Airport to downtown is 60 minutes with a s=15 minutes.Assume that the commute times are normally distributed. what proportion of communtes would be:
a. Longer than 80 minutes?
b. Less than 50 minutes?
c. Between 45 and 75 minutes?
3- Bob takes an online IQ test and finds out that his IQ according to the test is 134. Assuming that the mean IQ is 100, the s=15, and the distribution of IQ scoes is normal, what proportion of the population would score higher than Bob? Lower than Bob?
Click here to see answer by stanbon(75887)

Question 347399: If in 95% of all trials the defendants are found guilty, if you had only 8 trials, what is the probabilty that all 8 defendants would be found guilty?
Click here to see answer by scott8148(6628)

Question 347736: What is the probability of spinning a prime number or an odd number on a spinner numbered 1 to 8?
Click here to see answer by jim_thompson5910(35256)

Question 347737: A block is chosen at random from a bag containing 6 white blocks, 4 black blocks, and 12 red blocks. What is the probability that it will be a red block or a white block?
Click here to see answer by stanbon(75887)

Question 347435: If the mean height is 70 inches with a standard deviation of 4, how many people would need to be sampled to find 5 people with height of 86 inches?
Click here to see answer by scott8148(6628)

Question 347748: Please help me with my probability assignment.Could you please give me a complete solution to these questions.
1. A jar has 4 red marbles, 5 green marbles and 7 blue marbles. A marble is drawn, observed and then replaced. Another marble is then drawn. Calculate:
a.) The probability that both were red marbles
b.) The probability that there was one red and one green marble
c.) The probability that neither was a blue marble
2. In a group of 100 students, 55 study Mathematical Methods and 40 study Physics. If 12 study neither subject, how many study both?
Click here to see answer by stanbon(75887)

Question 347752: Archie has to go to school this morning for an important test, but he woke up late. He can either take the bus or take his unreliable car. If he takes the car, Archie knows from experience that he will make it to school without breaking down with probability 0.3. However, the bus to school runs late 60% of the time. Archie decides to choose between these options by tossing a coin. Suppose that Archie does, in fact, make it to the test on time. What is the probability that he took his car? Round your answer to two decimal places.
Click here to see answer by stanbon(75887)

Question 347745: Of a classroom filled with 20 students, 2 will be selected to stay after school and correct homework for extra credit. How many combinations are possible?
Click here to see answer by stanbon(75887)

Question 347795: A manufacture claims that 5% of the finished items coming off an assembly line each dat are defective. A total of 5,000 items are produced a day, and 3 are randomly selected and inspected.
a. If the manufacturer's claim is correct, what is the probability all 3 randomly selected items are defective?
b. If all 3 randomly selected items are defective, would you infer the manufacturer's claim is incorrect? why?
c. if the manufacturer's claim is correct, what is the probability none of the 3 items are defective?
d. If none of the 3 items are defective, would you infer that the manufacturer's claim is incorrect? why?
Click here to see answer by stanbon(75887)

Question 347869: If two different people are randomly selected from the 875 subjects, find the probability that they are both heavy smokers. My original answer was .006040.
Men- Non-smokers =375, Light smokers= 34, Heavy Smoker= 35
Women Non-smokers =348,Light smokers =50,Heavy Smokers =33
Click here to see answer by stanbon(75887)

Question 347868: This question involves tobacco use. Men that are non-smokers= 387, Ocassional smokers= 45, Regular Smoker= 90, Heavy Smoker= 37. Women that are non smoker=421, Ocassional smokers=46, Regular smokers =69, Heavy smokers =34.
If one of the 1129 people are randomly selected, find the probability that the person is a man or a heavy smoker. My original answer was .558 and I got it wrong, thank you so much for the help.
Click here to see answer by stanbon(75887)

Question 347866:
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Question 347866:
Click here to see answer by Fombitz(32388)

Question 347865: Among the contestants in a competition of 35 women and 20 men. If 5 winners are randomly selected, what is the probability that they are all men? I do not understand where I am going wrong and thank you for the help.
Click here to see answer by stanbon(75887)

Question 347840: Someone rolls a die and then picks cards from a standard deck equal to the number showing on the die.
a) What is the probability that the number of jacks in the hand equals 2?
b) Conditional on knowing the number of jacks in the hand equals 2, what is the conditional probability that the die showed 3?
Click here to see answer by stanbon(75887)

Question 347754: There are 6 multiple-choice questions on an exam, each with four possible answers. Only one answer per question counts as the correct answer. If you guess on each question, what is the probability that you correctly answer all six questions?
Click here to see answer by stanbon(75887)

Question 347933: In a large vase, there are 8 roses, 5 daisies, 12 lilies, and 9 orchids. If 4 flowers are selected at random, find the probability that at least 1 of the flowers is a rose.
Click here to see answer by stanbon(75887)

Question 347921: In a blood testing procedure, blood samples from 6 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative. If the probability that an individual sample tests positive is 0.11, what is the probability that the mixture will test positive
Click here to see answer by stanbon(75887)

Question 347918: A "combination" lock has a three-number "combination" where the numbers are
chosen from the set {1, 2, 3, ... , 19, 20}.What is the probability that the "combination" has no repeated numbers?
A. .00015 B. .75 C. .15 D. .855
Click here to see answer by jim_thompson5910(35256)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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