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

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Question 1120612: The latest nationwide political poll indicates that for persons who are
randomly selected, the probability that they are pro NDA is 0.55, the
probability that they are pro Congress is 0.30, and the probability that they
are pro Left Front is 0.15. Assuming that these probabilities are accurate,
what is the probability that out of randomly chosen group of 10 persons
atleast eight are pro NDA?

Click here to see answer by Boreal(15235) About Me 

Question 1120646: The assignment this week is to collect quantitative data for a minimum of 10 days from ONE of your daily activities. Some examples of data collection include:
The number of minutes you spend studying every day.
The time it takes to cook meals each day.
The amount of daily time spent talking on the phone.
The amount of time you drive each day.
The data will constitute a sample of your daily activity. In a paper (1- to 3-page typed Word document), describe the data you are going to collect and how you are going to keep track of the time. Within the paper, incorporate the concepts we are learning in the module, including (but not limited to) probability theory, independent and dependent variables, and theoretical and experimental probability. Discuss your predictions of what you anticipate the data to look like and events that can skew the data. Collect data for at least 10 days. Include at least 3-5 days of data with your SLP 1 submission. Continue collecting data for the remaining days for use in SLP 2. Do you think the data will provide a valid representation of these activities? Explain why or why not.

Click here to see answer by ikleyn(52752) About Me 

Question 1120690: A student and a professor each choose a number between 1 and 6 (1 and 6 are both possible choices). What is the probability that the two choose the same number?
a. 0.533
b. 0.0356
c. 0.9644
d. 0.733

Click here to see answer by Alan3354(69443) About Me 

Question 1120698: Tessa's cumulative GPA fir 3 semesters was 3.24 for 46 units. Her fourth GPA was 3.86 for 12 course units.What is Tessa's cumulative GPA for all semesters?

Click here to see answer by Alan3354(69443) About Me 

Question 1120691: A student and a professor each choose a number between 1 and 15 (1 and 15 are both possible choices). What is the probability that the two choose the same number?
----------------------------

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Question 1120720: Alexia dug 11 holes labelled one to 11. Each hole is identical in every way. She puts a seed in each hole such that each seed has a probability of 0.6 to germinate.
What is the probability that all seeds will germinate?
What is the probability that only three will not germinate?
What is the probability that more than five will germinate?
What is the expected value that a seed will germinate?

Click here to see answer by stanbon(75887) About Me 
Question 1120720: Alexia dug 11 holes labelled one to 11. Each hole is identical in every way. She puts a seed in each hole such that each seed has a probability of 0.6 to germinate.
What is the probability that all seeds will germinate?
What is the probability that only three will not germinate?
What is the probability that more than five will germinate?
What is the expected value that a seed will germinate?

Click here to see answer by Boreal(15235) About Me 

Question 1120711: 41​% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is​ (a) exactly​ five, (b) at least​ six, and​ (c) less than four.
Click here to see answer by stanbon(75887) About Me 

Question 1120696: A coin is biased so that a head is twice likely as a head.
If the coin is tossed three times
Find the probability distribution for the number of heads
Construct a histogram for a probability distribution.

Click here to see answer by stanbon(75887) About Me 

Question 1120736: In a sample of 60,000 first-born babies, 7 were found to have a certain syndrome. Find the empirical probability that a​ family's first child will be born with this syndrome.
Click here to see answer by solver91311(24713) About Me 

Question 1120735: In a sample of 60 comma 00060,000 ​first-born babies, 77 were found to have a certain syndrome. Find the empirical probability that a​ family's first child will be born with this syndrome.
Click here to see answer by solver91311(24713) About Me 

Question 1120783: 12-sided die is rolled. The set of equally likely outcomes is; {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number less than 7.
Click here to see answer by solver91311(24713) About Me 
Question 1120783: 12-sided die is rolled. The set of equally likely outcomes is; {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number less than 7.
Click here to see answer by greenestamps(13195) About Me 

Question 1120683: The brand name of a certain chain of coffee shops has a 52​% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. He selects a random sample of 8 Coffleton residents. Find the probability that the number that recognize the brand name is not 4. Round to three decimal places.
Click here to see answer by greenestamps(13195) About Me 

Question 1120592: In the game of​ roulette, a player can place a ​$7 bet on the number 4 and have a 1 Over 38 probability of winning.
If the metal ball lands on 4,the player gets to keep the ​$7 paid to play the game and the player is awarded an additional ​$245, Otherwise, the player is awarded nothing and the casino takes the​ player's ​$7
What is the expected value of the game to the​ player? If you played the game 1000​ times, how much would you expect to​ lose? Note that the expected value is the​ amount, on​ average, one would expect to gain or lose each game.
The expected value is ​$_____________.

Click here to see answer by greenestamps(13195) About Me 

Question 1120572: Urn A contains 4 red and 3 black marbles. Urn B contains 5 red and 7 black marbles. From Urn A, one marble is chosen at random and placed into Urn B.
Now from Urn B ( with the extra marble included), two marbles are drawn at random in succession without replacement. Find the probability that they are not the same colour.

Click here to see answer by greenestamps(13195) About Me 

Question 1120786: Three bags labelled P, Q and R contains red, blue and white balls respectively of equal sizes. The ratio of the balls in the bags are P:Q=2:1 and Q:R=4:5. All the balls are removed into a big bag and properly mixed together.
(a) Find the probability of pick a red ball.
(b) If two balls are picked at random one after the other with replacement, find the probability of picking:
(i) a white ball and a blue ball
(ii) a blue ball first and then a red ball.

Click here to see answer by greenestamps(13195) About Me 

Question 1120828: Find the probability of answering the two multiple choice questions correctly if random guesses are made. Assume the questions each have five choices for the answer. Only one of the choices is correct.
0.004
0.02
0.4
0.04

Click here to see answer by MathLover1(20849) About Me 

Question 1120862: Out of 400 people sampled, 224 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids.
Give your answers as decimals, to three places

_____ < p < _____

Click here to see answer by rothauserc(4718) About Me 

Question 1120846: A letter A, B or C is drawn from a hat and a random number that is either odd or even is obtained from a calculator.
a) Draw a tree diagram showing the possibilities
b) how many outcomes are there?
c) what is the probability of getting i) B and an odd number ii) not getting both B and an odd number iii) not getting c?

Click here to see answer by solver91311(24713) About Me 

Question 1120850: On a table are 2 envelopes. Envelope #1 contains $1, $2, $2 and $5 notes. Envelope #2 contains $2, $2, $5, $5 and $10 notes. One note is chosen at random from each envelope
a) draw a dot diagram to illustrate the sample space
b) find the probability that the total value of the chosen notes is more $6

Click here to see answer by greenestamps(13195) About Me 

Question 1120865: 6.The mean value of land and buildings per acre from a population of farms is $1000, with a standard deviation of $200. The data set is a normal distribution, estimate the percent of farms whose land and building values per acre are between $800 and $1200.

7. Using the mean and standard deviation from #6 and the Empirical Rule, determine which of the following farms, whose land and building values per acre are given, are outliers(more than 2 standard deviations from the mean).
$1250, $1375, $1125, $1450, $550, $800

Click here to see answer by Boreal(15235) About Me 

Question 1120863: Assume that a procedure yields a binomial distribution with a trial repeated
n=12 times. Use either the binomial probability formula (or technology) to find the probability of
k=4successes given the probability
p=0.36 of success on a single trial.
(Report answer accurate to 4 decimal places.)
P(X=k)=

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Question 1120880: Find the critical value z Subscript alpha divided by za/2 that corresponds to the given confidence level 91%
Click here to see answer by Boreal(15235) About Me 

Question 1120867: 9. A normal distribution of utility bills shows the mean to be $100 and the standard deviation of $12.
a) What percent of the utility bills are more than $125.
b) If 300 utility bills are randomly selected, about how many of them would you expect to be less than $90?

Click here to see answer by Boreal(15235) About Me 

Question 1120864: Find the indicated area under the standard normal curve.
1. To the left of z = 1.54
2. To the right of z = -0.95
3. Between z = 0 and z = 1.96
4. Between z = -1.96 and z = 1.96
5. To the right of z = 2.33

Click here to see answer by Boreal(15235) About Me 

Question 1120931: Three research departments have 7, 10, and 6 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many ways can this be done?

Click here to see answer by ikleyn(52752) About Me 

Question 1120938: Please help me solve this probability question: Find the probability that of the next 200 children born, (a) less than 40% will be boys, (b) between 43% and
57% will be girls, and (c) more than 54% will be boys. Assume equal probabilities for the births of boys and
girls.

Click here to see answer by Theo(13342) About Me 

Question 1120949: If X is B ~ (n, p) with mean 5 and standard deviation 2. Find the value of n and p.

Click here to see answer by Boreal(15235) About Me 

Question 1120948: A medical survey was conducted in order to establish the proportion which was infected with cancer. The results indicated that 40% of the population were suffering from cancer.A sample of 6 people was later taken and examined for the disease. Find the probability that the following outcomes were observed:
(i) Only one person had cancer
(ii) At most two people had cancer
(iii) At least two people had cancer
(iv) Three or four people had cancer

Click here to see answer by rothauserc(4718) About Me 

Question 1120908: If 5 cards are drawn at random from a deck of 52, what is the probability of pulling 3 cards of one denomination and 2 cards of a second denomination?
Click here to see answer by greenestamps(13195) About Me 

Question 1120954: People were polled on how many books they read the previous year. How many subjects are needed to estimate the number of books read the previous year within one book with 95​% ​confidence? Initial survey results indicate that sigmaequals 13.8 books.
A 95 % confidence level requires _____ subjects.

Click here to see answer by Boreal(15235) About Me 

Question 1120866: 8. In a recent year, the ACT scores for high school students with a 3.50 to 4.00 GPA were normally distributed, with a mean of 24.1 and a standard deviation of 4.3. A student with a 3.50 to 4.00 GPA who took the ACT during this time is randomly selected.
a) Find the probability that the student’s ACT score is less than 20.
b) Find the probability that the student’s ACT score is between 20 and 29.
c) Find the probability that the student’s ACT score is more than 29.

Click here to see answer by Boreal(15235) About Me 

Question 1120822: An apartment building has 20 two-bedroom apartments and 8 three-bedroom apartments. If 4 apartments are chosen at random to be redecorated, what are the probabilities that
A) All will be two-bedroom apartments?
B) 2 will be two-bedroom apartments and 2 will be three-bedroom apartments?

Click here to see answer by greenestamps(13195) About Me 

Question 1120956: A manufacturer wishes to estimate the proportion of washing machines leaving the factory that is defective. How large a sample should she check in order to be 94 percent confident that the true proportion is estimated to within 0.015?
Click here to see answer by Theo(13342) About Me 

Question 1120596: ​32% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is​ (a) exactly​ three, (b) at least​ four, and​ (c) at most two. If​ convenient, use technology to find the probabilities
(a) ​P(3)=_____________

Click here to see answer by Boreal(15235) About Me 

Question 1120856: 9. Albert made a score of 656 on the CEEB examination with a mean of 500 and the SD of 100. Assume the variable is normally distributed, determine the following:
a. What percent of cases would fall between his score and the mean of the exam.
b. What is his percentile rank in the population of students taking the exam?
c. What percent of cases would fall between scores 425 and 625?
d. What is the score corresponding to 85th percentile on this exam?

Click here to see answer by Boreal(15235) About Me 

Question 1120980: How to easily understand probability?
Click here to see answer by ikleyn(52752) About Me 

Question 1120999: Four players scored all of the points for their team in a basketball game. Player A scored 35
3
5
of the points, Player B scored 8%
8
%
, Player C scored 0.15
0
.
15
, and Player D scored 17100
17
100
.
Which choice lists the players in order from least to greatest based on the number of points they scored

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 1120971: An urn contains 4 green , 5 blue , 2 red and 3 yellow marbles . If four marbles are drawn at random , what is the probability that two are blue and two are red ?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1120568: Three digit numbers are formed from 5 cards labelled 1,2,3,4 and 5.
A) how many different 3-digit numbers can be formed?
B) if one of these numbers is selected at random what is the probability
that it is odd?
C) how many of these 3-digit numbers are even?
D) what is the probability of randomly selecting a 3- digit number less than
500 with its digits arranged in descending order

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1121039: Given that x has a Poisson distribution with u=0.6​, what is the probability that x=0​? P(0)=
Click here to see answer by htmentor(1343) About Me 

Question 1121149: if the probability that a pen does not write is 0.05,what is the probability that it writes
Click here to see answer by ikleyn(52752) About Me 

Question 1120584: The probability that Isaac can solve a maths problem is 0.95 and Diana's probability of solving the same problem is 0.92
a) draw a tree diagram to illustrate all possible outcomes
b) what is the probability neither of them solves the problem
c) what is the probability that only one of them solves the problem

Click here to see answer by greenestamps(13195) About Me 

Question 1121138: The probability of it raining tomorrow is 0.12. For the day after, the chance of it not raining is 0.85. By drawing a tree diagram, find the chance of it raining for at least one day out of the tw0
Click here to see answer by Boreal(15235) 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, 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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