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

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 900916: what is the probability that you will get heads four times is a row when flipping a fair coin?
a.0.5
b.0.25
c.0.125
d.0.0625
Click here to see answer by rfer(16322)

Question 900979: it is known that on average ,3 out of 10 items coming from a production line are defective.Find the probality that he will get up to 12 items without finding a defective
Click here to see answer by ewatrrr(24785)

Question 900990: If there are 1200 tickets sold in a raffle and there will be 5 prizes and someone buys one ticket what is their chance of winning?
Click here to see answer by ewatrrr(24785)

Question 901093: Which of these pairs of events are mutually exclusive?
A.winning a football match and drawing the same match
B.wearing one red sock and one blue sock
Click here to see answer by JulietG(1812)

Question 901095: Write down two pairs of events one mutually exclusive and the other not
Click here to see answer by JulietG(1812)

Question 901109: The following information is available.
H0: μ ≤ 25
H1: μ > 25
The sample mean is 26 for a sample of 46. The population standard deviation is 2. Use the .01 significance level. What is the p-value?

Click here to see answer by ewatrrr(24785)

Question 901092: These are the probabilities of some events happening write down the probabilities of the events not happening
A. P(h)=0.3
B. P(h)=0.52
C. P(h)=0.21
D. P(h)=25%
E. P(h)=55.5%
F. P(h)= two fifths
Click here to see answer by ewatrrr(24785)

Question 901073: In a random sample of catalog orders, 30% were completed incorrectly and had to be returned, 36% required additional information, and 34% were processed immediately. Based on the results of this sample, how many orders out of 500 would probably NOT be processed immediately?
A. 170
B. 250
C. 330
D. 350
Click here to see answer by richwmiller(17219)

Question 901148: Given the sample data.
x: 15 17 29 16 27
Verify that Σx = 104 and Σx^2 = 2340.
Σx= ??
Σx^2 = ??
Click here to see answer by stanbon(75887)

Question 901072: If the probability of being born on a specific day of the week is the same for all days of the week, about how many of 100 babies will probably have a Friday birthday?
Click here to see answer by stanbon(75887)

Question 901181: Consider the statistical experiment of rolling a die then drawing a letter at random from the alphabet. How many simple events are there in the sample space?
Click here to see answer by stanbon(75887)

Question 901330: question 1 - The probability of a vehicle having an
accident at a particular intersection is 0.0001.
Suppose that 10,000 vehicles per day travel
through the intersection. What is the probability
that no accident is occurring? What is the
probability of more than 2 accidents
Question 2 - The number of red blood cells per square
unit visible under a microscope follows a poissons
distribution with mean 4. Find the probability that
more than five such blood cells are visible to the
observer
Click here to see answer by ewatrrr(24785)

Question 901341: question - 1 A large insurance company has discovered
that 0.2% of the Delhi population is injured as a
result of particular type of accident. The company
has 15,000 policy holders carrying coverage
against such accident. What is the probability that
three or less claims will be filed against those
policy holders in the next year? Five or more
claim?
Question 2 - Suppose that the number of accidents
working on high explosive shells over a period of
time (say five) weeks is taken to follow a poisson
distribution with parameter X = 2. Find the
probability of 1, 2, 3, 4, or 5 accidents
Click here to see answer by ewatrrr(24785)

Question 901368: Question 1 - -- A fair coin is tossed 10 times . Given that the 10 tosses produced exactly 5 heads, what is the conditional probability that (a) the first toss resultedd in heads (b) exactly 3 of the first tosses resulted in heads
Question 2 ---- A box contains three drawers. In one drawer there are 2 gold coins in another there is 1 gold coin and 1 silver coin and in the 3rd one there are 2 silver coins. A drawer is selected at a random and then a coin is drawn fromt he drawer. given that the coin selected is gold, what is the conditional probability that the remaining coin int he opened drawer is also gold
Click here to see answer by solver91311(24713)

Question 901360: Question 1 - sebastian, a magician, claims to have extraordinary perception. In order to test this claim, he is asked to identify the 4 cards out of 4 red and 4 black cards which are laid face down on the table. Sebastian correctly identifies 3 of the red cards and incorrectly selects 1 of the black cards. Thereafter, he claims to have proved his point. what is the probability that Sebastian would have correctly identified at least 3 of the red cards if he were, in fact guessing? ( regard the 4 cards by sebastian as an unordered random sample of size 4
Question 2- A box contains 8 good and 2 defective items. if 5 items are selected at random from the box, what is the probability of finding (a) at least 1 of the defective items (b) both defective items
Click here to see answer by solver91311(24713)

Question 901356: Question 1 - Consider two urns. Urn 1 contains 4 red balls and 2 white balls, and urn 2 contains 3 balls of each color. If 2 balls are drawn from urn 1 without replacement and transferred to urn 2 and then a ball is drawn from urn 2, what is the probability that the ball drawn from urn 2 will be red . Given that the ball drawn from urn 2 was red, what is the conditional probability that (a) 0 (b) 1 (c) 2 red balls are transfered
Question 2- Let urn 1 contains 4 red balls and 2 white balls, and let the urn 2 contain 3 balls of each color. If a ball is drawn at random from urn 1 and transferred to urn 2 and then a ball is drawn at random from urn 2, what is the probability that the second ball drawn will be red
Click here to see answer by solver91311(24713)

Question 901574: among the 50 states one state is randomly selected then a statewide voter registration list is obtained and one name is randomly selected. Does this procedure result in randomly selected national voter? why or why not?
Click here to see answer by solver91311(24713)

Question 900896: Three sides of a die are painted red, 2 sides yellow and 1 side blue. What is the probability that when this die is thrown, the face that comes up is NOT red?
Click here to see answer by Fombitz(32388)

Question 901708: 4.2. A new drug that treats patients with anxiety has a 60% success rate in improving the patient�s condition.
For a random sample of eight patients taking this drug, determine the probability that:
4.2.1. Four patients have improvement in their condition.
At least two patients have improvement in their condition
Click here to see answer by harpazo(655)

Question 901706: An investment consultant tells her client that the probability of making a positive return with her suggested portfolio is 0.90. What is the risk, measured by standard deviation, that this investment manager has assumed in his calculation if it is known that returns from her suggested portfolio are normally distributed with a mean of 6%?
a. 1.28%
b. 4.69%
c. 6.00%
d. 10.0%

Click here to see answer by harpazo(655)

Question 901705: .2. A new drug that treats patients with anxiety has a 60% success rate in improving the patient�s condition.
For a random sample of eight patients taking this drug, determine the probability that:
4.2.1. Four patients have improvement in their condition.

Click here to see answer by harpazo(655)

Question 901702: What is the probability that a student in a college of 650 students is both a math major and a computer science major (assuming these events are independent) if there are 72 math majors and 105 computer science major
Click here to see answer by harpazo(655)

Question 901644: A box contains three drawers, in one drawer there are 2 gold coins, in other there is 1 gold and 1 silver coin and in the 3rd drawer there are 2 silver coins. A drawer is selected at random and then a coin is drawn from the drawer. Given that the coin selected is gold, what is the conditional probability that the remaining coin in the open drawer is also gold
Click here to see answer by harpazo(655)

Question 901698: IF a six sided die is tossed two times and "3" shows up both times, the probability of "3" on the third trial is?

Click here to see answer by harpazo(655)

Question 901694: A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these homes are usually left unlocked, what is the probability that the real estate agent can get into s specific home if the agent selects 3 master keys at random before leaving the office?
Click here to see answer by harpazo(655)

Question 901664: Consider two urns. Urn 1 contains 4 red balls and 2 white balls, and urn 2 contains 3 balls of each color. If 2 balls are drawn from urn 1 without replacement and transferred to urn 2 and then a ball is drawn from urn 2, what is the probability that the ball drawn from urn 2 will be red . Given that the ball drawn from urn 2 was red, what is the conditional probability that (a) 0 (b) 1 (c) 2 red balls are transfered
Click here to see answer by harpazo(655)

Question 901671: A manufacturer of baby powder claims that 20% of the mothers prefer brand A baby powder. A random sample of 25 mothers were selected and asked what brand of baby powder they prefer. If 8 of the 25 mothers prefer brand A, what can you conclude? Use z-test at 5% level of significance.
Click here to see answer by harpazo(655)

Question 901661: According to Gallup sannual poll on personal finances, while most U.S. workers reported living comfort-ably now, many expected a downturn in their lifestyle when they stop working.Approximately half said they have enough money to live comfortably now and expected to do so in the future (J. M. Jones, Only Half of Non-Retirees Expect to be Comfortable in Retirement, The Gallup Poll, galluppoll.com, May 2, 2006). If you select a random sam-ple of 200 U.S. workers,
a. what is the probability that the sample will have between 45% and 55% who say they have enough money to live comfortably now and expect to do so in the future?
b. the probability is 90% that the sample percentage will be contained within what symmetrical limits of the pop-ulation percentage?
c. the probability is 95% that the sample percentage will be contained within what symmetrical limits of the pop-ulation percentage?

Click here to see answer by harpazo(655)

Question 901636: Let urn 1 contains 4 red balls and 2 white balls, and let the urn 2 contain 3 balls of each color. If a ball is drawn at random from urn 1 and transferred to urn 2 and then a ball is drawn at random from urn 2, what is the probability that the second ball drawn will be red

Click here to see answer by harpazo(655)

Question 901653: From an urn containing 5 red and 5 white balls, an unordered randomsample of size 5 is drawn. Given that there are at least 2 red balls in the sample, find the conditional probability that there are exactly 3 red balls in the sample
Click here to see answer by harpazo(655)

Question 901789: 6 pickers collect 1500 apples in 5 hours.How many apples would 9 pickers collect in 7 hours
Click here to see answer by ewatrrr(24785)

Question 901932: in a population of 400 subjects, 300 have blue eyes. In the same population, 250 of the subjects are right-handed. Of the right-handed people, 200 have blue eyes. suppose that a person is picked at random from this population. What is the probability that the subject will:
a. have blue eyes? - I answered 300/400 = .75
b. be a blue eyed right handed person? I answered 200/250=.80
c. have blue eyes or be right handed? I found P of Right handed to be 250/400=.625 from the problem, so I answered .75+.625 - .80=.
575
d. have blue eyes given that the person is right handed?
e. have blue eyes given that the person is left handed?
I thought this was a joint probability, but I cannot get the table to work, so I worked each probability as I could. I am not sure if any of my answers are correct. :-) If a,b,c, are correct, I am not sure how to answer d and e. I am having confusion when it comes to adding, multiplying and subtracting from 1 in these types of questions. Any help you can offer would be greatly appreciated.
Thank so much!
Click here to see answer by richwmiller(17219)

Question 902058: Suppose that 43% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
Click here to see answer by Fombitz(32388)

Question 902122: A new drug that treats patients with anxiety has a 60% success rate in improving the patient�s condition.
For a random sample of eight patients taking this drug, determine the probability

Click here to see answer by ewatrrr(24785)

Question 902119: Suppose that a person selects a card at random from a deck of 52 cards and tells us that the
selected card is red. Find the probability that the card is the kind of hearts given that it is
red.
Click here to see answer by ewatrrr(24785)

Question 902109: 1.Experience shows that the average number of misses by a darts player hitting off target is 5. What is the probabilty that on any darts night, a darts player will miss three times
2. Assume a sample of 25 elements taken from a population of 100 elements and the sample average was found to be 35.5 with a standard deviation of 10.Contruct 90% and 95% confidience intervals.
Click here to see answer by ewatrrr(24785)

Question 902107: A sample of 5 students is drawn. From experience it is known that the pass rate in English is 80%. What is the probability that no students passed English this year
Click here to see answer by ewatrrr(24785)

Question 902130: A new drug that treats patients with anxiety has a 60% success rate in improving the patient�s condition.
For a random sample of eight patients taking this drug, determine the probability that:
4.2.1. four patients have improvement in their condition.
4.2.2. at least two patients have improvement in their condition.
Click here to see answer by ewatrrr(24785)

Question 902129: A team plays 60% of their games at night and 40% of their games during the day. They win 60% of their night games and 80% of their day games. They won yesterday. A.)What is the probability that the game was played at night? B.)What is the probability that it was a day game?
Is it really as simple as A.).60 and B.) .80, somehow I feel it is not!

Click here to see answer by ewatrrr(24785)

Question 902221: a raffle fundraiser is set up as follows- A participant is given a ticket with the number 1 through 7 on it. They must order the numbers and way they choose. If they pick the order the seven numbers correctly they win a prize. How many different orderings are there in the game?
Click here to see answer by ewatrrr(24785)

Question 902252: The mathmatics club at a certain university is composed of 15 undergraduate and 6 graduate students. Three students from the club were selected, and each was asked to teach a class at a high school.
A) how many distinct groups of 3 students can be formed?
B) find the probability that the selected group has exactly two graduate students.
C) find the probability that the selected group has at least one undergraduate student.
Could someone help me with this Qs please
Click here to see answer by ewatrrr(24785)

Question 692347: A particular automatic sprinkler system has two different types of activation devices for each sprinkler head. One type has a reliability of 0.9; that is the probability that it will activate the sprinkler when it should is 0.9. the other type which operates independently of the first, has a reliability of 0.8. if either device is triggered , the sprinkler will activate. Suppose a fire starts near a sprinkler head.
a. What is the probability that the sprinkler head will be activated?
b. What is the probability that the sprinkler head will not be activated?
c. What is the probability that both activation devices will work properly?
d. What is the probability that only the device with reliability 0.9 will work properly?

Click here to see answer by nsf961(1)

Question 902567: (a) There are 16 different ways in which the four students could have answered this last question. What is the probability that the four students passed the chemistry examination?
Click here to see answer by ewatrrr(24785)

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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, 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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