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

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Question 868585: A company averages 2.4 walkins per hour. Using the Poisson distribution,what is the probability that on a randomly selected hour, the company will receive fewer than two calls?
Click here to see answer by ewatrrr(24785) About Me 

Question 868577: http://media.apexlearning.com/Images/200706/08/856e1e42-a0c1-4c33-84f0-5c59431d8a06.gif
Click here to see answer by Fombitz(32388) About Me 

Question 868583: A reporter claims that the mean age of all golf players is at least 24. What are the null and alternative hypotheses needed to test this claim?
Click here to see answer by ewatrrr(24785) About Me 

Question 868581: A tennis coach wants to obtain a 95% confidence interval for the mean time it takes for all tennis players to perform a certain drill. Assuming the population standard deviation is 29 minutes. How many players must be sampled so that the margin of error is 1.5?
Click here to see answer by ewatrrr(24785) About Me 

Question 868582: A visiter in Canada plans to visit 8 different cities during a 2 week trip. In how many ways can he visit 4 cities once during the first week?
Click here to see answer by ewatrrr(24785) About Me 

Question 868600: There's a claim that the mean scores for seniors (s) is higher than freshman(f). What is the null and alternative hypotheses for testing this claim?
Click here to see answer by ewatrrr(24785) About Me 

Question 868606: A public service department reports the distribution of accidents in a month for a particular neighborhood. What is the probability that for a randomly selected month, there are at most 2 accidents?
x| 0 | 1 | 2 | 3 |
p(x) .545 | .414 | .03 | .011 |

Click here to see answer by Fombitz(32388) About Me 

Question 868602: In a hall there are 6 boys and 7 girls. Four of them are randomly selected without replacement. What is the probability that at least one of them is a boy?
Click here to see answer by ewatrrr(24785) About Me 

Question 868598: The Xenia location of Key Bank has determined that the daily balances of the checking accounts of its customers are normally distributed with an average of $280 and a standard deviation of $20. To gain full credit, show all your work; an answer alone is not good enough!
a. Determine the percentage of its customers who have daily balances of more than $275
b. Determine the percentage of its customers who have daily balances less than $243?
c. Determine the percentage of its customers whose balance is between $241 and $301.60?

Click here to see answer by ewatrrr(24785) About Me 

Question 868619: Weight in grams of 100 Laboratory Mice. What is the probability that the weight of a healthy mouse selected randomly from the sample will be more than 52 grams?
Class Interval / Frequency

43.5-46.5 / 16
46.5-49.5 / 24
49.5-52.5 / 27
52.5-55.5 / 24
55.5-58.5 / 9

Click here to see answer by ewatrrr(24785) About Me 

Question 868495: suppose that a machine shop orders 400 bolts from a supplier. to determine whether to accept the shipment of bolts, the manager randomly selected 30 bolts. if none of the bolts is found to be defective, than the shipment is acceptable. if 10% of the bolts in the population are defective, what is the probability that the shipment will be accepted
Click here to see answer by Fombitz(32388) About Me 

Question 868621: According to the IdeaMax Climate Center, the mean air velocity at a certain city in the month of June is 8.8 mph. Assuming the air velocities are approximately normally distributed with a standard deviation of 3.3 mph, what is the 94th percentile?
Click here to see answer by ewatrrr(24785) About Me 
Question 868621: According to the IdeaMax Climate Center, the mean air velocity at a certain city in the month of June is 8.8 mph. Assuming the air velocities are approximately normally distributed with a standard deviation of 3.3 mph, what is the 94th percentile?
Click here to see answer by sweethawk22(1) About Me 

Question 868492: Two events, E and F, are such that P(E)=2/5, P(F)=1/6 and P(E U F)=13/30. Show that E and F are neither mutually exclusive nor independent.
I'm honestly not even sure what it's asking me to do, does it want me to prove that it's not mutually exclusive by calculating if it is mutually exclusive? I'm quite lost with this problem..

Click here to see answer by Fombitz(32388) About Me 

Question 868541: The Xenia location of Key Bank has determined that the daily balances of the checking accounts of its customers are normally distributed with an average of $280 and a standard deviation of $20. To gain full credit, show all your work; an answer alone is not good enough!
a. Determine the percentage of its customers who have daily balances of more than $275
b. Determine the percentage of its customers who have daily balances less than $243?
c. Determine the percentage of its customers whose balance is between $241 and $301.60?

Click here to see answer by ewatrrr(24785) About Me 

Question 868625: When making a fruit salad, a chef chooses 4 fruits from 8 that are in season.
How many different fruit salads can the chef create?
A. 70
B. 1680
C. 10,080
D. 40,320

Click here to see answer by ewatrrr(24785) About Me 
Question 868625: When making a fruit salad, a chef chooses 4 fruits from 8 that are in season.
How many different fruit salads can the chef create?
A. 70
B. 1680
C. 10,080
D. 40,320

Click here to see answer by Fombitz(32388) About Me 

Question 868624: A person plans to plant 3 ferns hoping to grow them successfully. If success is independent and there is a 72% chance that the fern will grow successfully, what is the probability that he grows 2 successful ferns?
Click here to see answer by ewatrrr(24785) About Me 

Question 868607: What is the p value for testing h0 : p=.2 vs. H1 : p=/ .2 if the test statistic is z=1.71?
Click here to see answer by ewatrrr(24785) About Me 

Question 868643: For a random sample of 22 people who took a test, the mean score is 85.1 and the standard deviation is 12.9. What is the 90% confidence interval for the mean score of all the test takers, assuming that the population is normally distributed?
Click here to see answer by ewatrrr(24785) About Me 

Question 868646: A dart thrower hits the bullseye with his eyes closed 75% of the time. For a bout of throwing that contains 20 tosses, what is the variance for the number of bullseyes he will hit?
Click here to see answer by stanbon(75887) About Me 

Question 868641: On an answer sheet, there are 27 yes/no questions to choose from. A person plans to select 5 to ask his friends. How many different sets of five are possible?
Click here to see answer by ewatrrr(24785) About Me 
Question 868641: On an answer sheet, there are 27 yes/no questions to choose from. A person plans to select 5 to ask his friends. How many different sets of five are possible?
Click here to see answer by stanbon(75887) About Me 

Question 868636: High School Dropouts:
According to the U.S. Census Bureau, 8.4% of high school dropouts are 16 to 17 year olds. In addition, 6.2% of high school dropouts are white 16 to 17 year
olds. What is the probability that a randomly selected dropout is white, given that he or she is 16 to 17 years old?

Click here to see answer by ewatrrr(24785) About Me 

Question 868633: A doctor's office would like to estimate the proportion of couples that will not allow their child to receive the new vaccine with a 90% confidence interval. From a tiny sample, 26% of parents will not allow the new vaccine. Using this information, how many couples must be sampled in order for the estimate to be within 3% of the true proportion?
Click here to see answer by stanbon(75887) About Me 

Question 868665: A professor believes that more than 40% of all students use the book. What are the null and alternative hypotheses need to test this claim?
Click here to see answer by ewatrrr(24785) About Me 

Question 868670: Six employees were questioned and the average number of customers (x) and the sales volume in thousands (y) is recorded. What is the equation of the least squares regression line for the data listed?
x | 55 | 46 | 48 | 12 | 50 | 50 |
y | 125| 98 | 107 | 26 | 90 | 100 |

Click here to see answer by ewatrrr(24785) About Me 

Question 868668: In a certain place, the October energy consumption levels for duplexes are found to be normally distributed with a mean of 1030 kwh and a standard deviation of 22.2 kwh. What is the probability that for a randomly seleceted duplex, the energy consumption in October is more than 987 kwh?
Click here to see answer by ewatrrr(24785) About Me 

Question 868669: A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is known to have a normal distribution with a mean of 5 milliliters (ml) and a standard deviation of 0.4 ml. Answer the following questions based on this information. What proportion of the paint cans contain less than 5.54 ml of the dye?
Click here to see answer by ewatrrr(24785) About Me 

Question 868661: The slumber for doctors is normally distributed with a mean of 6.8 hours and a standard deviation of 1.2 hours. What is the probability that in a random sample of 14 doctors, the average number of slumber hours is at least 6.4?
Click here to see answer by ewatrrr(24785) About Me 

Question 868667: A store wants to estimate the proportion of rotten figs it receives. After inspecting a random sample of 350 figs, it finds that 28 are rotten. What is a 90% confidence interval for the proportion of rotten figs the store receives?
Click here to see answer by ewatrrr(24785) About Me 

Question 868695: You scored in the 85th percentile on an exam, what was your rank among the 3000 students nationwide who took the exam? (With 1 being the highest rank)
Click here to see answer by stanbon(75887) About Me 

Question 868529: NEED HELP with this one, please!



Two hunters, A and B, hunt geese by the following way: the geese appear successively, and when one of them appears, both hunters shoot it at the same time. A achieves to shoot the goose with probability 1/2, and B succeeds to shoot it with probability 1/4. The outcomes of the shots are independent among them. The goose is killed if at least one of the hunters achieves to shoot it, and it survives if both of the hunters miss it. Because the shots are at the same time, if the goose is killed, none of A and B is sure that, indeed, achieved to shoot it.



Questions:

a) From the geese that they appear, which percentage escapes, and what percentage is hit from both hunters?

b) Given that one goose is hit,what is the probability that only A achieved to shoot it?

c) If 100 geese appear on total, what is the probability that exactly 10 geese survive?

d) If 5 geese appear and they have all survived, what is the probability the first goose that will be killed is the 8th?



Use the known types of Bernoulli, or Poisson, or binominal distribution.

For ex. P%28k%29=P%28Y=k%29=C%28N%2Ck%29%28p%5Ek%29%281-p%29%5E%28N-k%29

Click here to see answer by ewatrrr(24785) About Me 
Question 868529: NEED HELP with this one, please!



Two hunters, A and B, hunt geese by the following way: the geese appear successively, and when one of them appears, both hunters shoot it at the same time. A achieves to shoot the goose with probability 1/2, and B succeeds to shoot it with probability 1/4. The outcomes of the shots are independent among them. The goose is killed if at least one of the hunters achieves to shoot it, and it survives if both of the hunters miss it. Because the shots are at the same time, if the goose is killed, none of A and B is sure that, indeed, achieved to shoot it.



Questions:

a) From the geese that they appear, which percentage escapes, and what percentage is hit from both hunters?

b) Given that one goose is hit,what is the probability that only A achieved to shoot it?

c) If 100 geese appear on total, what is the probability that exactly 10 geese survive?

d) If 5 geese appear and they have all survived, what is the probability the first goose that will be killed is the 8th?



Use the known types of Bernoulli, or Poisson, or binominal distribution.

For ex. P%28k%29=P%28Y=k%29=C%28N%2Ck%29%28p%5Ek%29%281-p%29%5E%28N-k%29

Click here to see answer by richwmiller(17219) About Me 
Question 868529: NEED HELP with this one, please!



Two hunters, A and B, hunt geese by the following way: the geese appear successively, and when one of them appears, both hunters shoot it at the same time. A achieves to shoot the goose with probability 1/2, and B succeeds to shoot it with probability 1/4. The outcomes of the shots are independent among them. The goose is killed if at least one of the hunters achieves to shoot it, and it survives if both of the hunters miss it. Because the shots are at the same time, if the goose is killed, none of A and B is sure that, indeed, achieved to shoot it.



Questions:

a) From the geese that they appear, which percentage escapes, and what percentage is hit from both hunters?

b) Given that one goose is hit,what is the probability that only A achieved to shoot it?

c) If 100 geese appear on total, what is the probability that exactly 10 geese survive?

d) If 5 geese appear and they have all survived, what is the probability the first goose that will be killed is the 8th?



Use the known types of Bernoulli, or Poisson, or binominal distribution.

For ex. P%28k%29=P%28Y=k%29=C%28N%2Ck%29%28p%5Ek%29%281-p%29%5E%28N-k%29

Click here to see answer by ScientificArt(6) About Me 

Question 868708: Jar 1 contains 4 red balls and 2 black ball. Jar 2 contains 9 red balls and 3 black balls. Jar 3 contains 3 red balls and 3 black balls. If a Jar is selected at random and a ball is drawn, find the probability it will be red. Show your work.
Click here to see answer by ewatrrr(24785) About Me 

Question 868724: Suppose the mathematics section of SAT scores for high school seniors for a specific year is normally distributed with a mean score of 721 with standard deviation of 105. A certain student scored 909 on the mathematics section and wishes to get into a college that uses the ACT as an entrance requirement. In that same year the mathematics section of the ACT had a mean score of 22.6 with standard deviation of 4.6 and the ACT scores are normally distributed. A cut-off score of 28 on the mathematics portion of the ACT would enable the student to place out of College Algebra. Does the student have the necessary score to place out of College Algebra? Include a written explanation of your thought process that led to the technique used to make the determination.
Click here to see answer by ewatrrr(24785) About Me 

Question 868731: A local medical research association proposes to sponsor a footrace. The average time it takes to run the course is 33.2 minutes with standard deviation of 4.9 minutes. The association decides that only the fastest 14% of runners who finish the race will receive a complimentary running suit. Assuming the times are normally distributed, determine the interval of times for prize winners.
Click here to see answer by ewatrrr(24785) About Me 

Question 868730: To qualify for security officers’ training, recruits are tested for stress tolerance. The recruits in the top 38.7% qualify for advanced training. The scores are found to be normally distributed with a mean of 88 and standard deviation of 6.2 (these are not percent scores). Determine the lowest whole number score for an applicant who qualifies for advanced training.
Click here to see answer by ewatrrr(24785) About Me 

Question 868729: A survey found that people keep their television sets an average of 5.8 years with standard deviation of 2.7 years and also that the data was approximately normally distributed. Calculate the probability that a person who has decided to buy a new television set has owned the old one
a. more than 8.9 years. b. between 2.6 and 7.4 years.

Click here to see answer by ewatrrr(24785) About Me 

Question 868737: A marksman can hit the center of a target with a probability of p = 0.4. Find the probability that out of 10 trials, the marksman can hit the center:
a. exactly 6 times
b. at most 3 times
c. Find the mean and standard deviation for this situation.
Would you be kind enough to include the solution? Thank you...

Click here to see answer by ewatrrr(24785) About Me 

Question 868788: A study determined that 8% of persons age 65 to 74 have a certain symptom. A group of 22 persons age 65 to 74 are selected at random. Find the probability that 4 people have the symptom.
Thanks for helping!! Have no idea what this is asking.

Click here to see answer by ewatrrr(24785) About Me 

Question 868803: A marksman can hit the center of a target with a probability of p = 0.4. Find the probability that out of 10 trials, the marksman can hit the center:
a. exactly 6 times
b. at most 3 times
c. Find the mean and standard deviation for this situation.
Would you be kind enough to include the solution? Thank you...

Click here to see answer by ewatrrr(24785) About Me 

Question 868816: The field hockey team at Golden High School includes a certain number of players. Of these players, 35% are seniors, 25% are juniors, and 15% are sophomores. The remaining five players are freshmen. How many seniors are on the team?
Click here to see answer by ewatrrr(24785) About Me 

Question 868426: In a random sample of 35 students at a local college, 19 regularly carry a laptop computer to class. Using this and a margin of error of 12.1%, construct and interpret an interval estimate for the population of all students at the college who carry a laptop computer to class.
Click here to see answer by jim_thompson5910(35256) About Me 

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