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

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Question 380866: A child has 5 wooden blocks. He arranged it in a row and named it 1,2,3,4,5. What is the probability in numbered formed that it is...
1.Less than 20,000?
2. More than 40,000?

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Question 380856: Use Table 3 in Appendix B to find the probability of z = 0.15.
The table is a Areas of the Standard Normal Distribution table

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Question 380881: What is the probability of a batter with a .420 average getting a hit in 2 of the next 4 at bats?
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Question 380899: a population of n=10 scores has a mean of u=80. if 5 points are added to every score in the distribution what is the value of the mean
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Question 380950: Investing is a game of chance. Suppose there is a 39% chance that a risky stock investment will end up in a total loss of your investment. Because the rewards are so high, you decide to invest in five independent risky stocks. Find the probability that at least one of your five investments becomes a total loss.
I'm so confused! Thank you so much for your help!

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

Question 380949: I really don't understand how to do this. I'm sure there is a way to do this on a scientific calculator, but for the life of me, I can't figure it out!
Thanks so much for your help!
A local concert center reports that it has been experiencing a 15% rate of no-shows on advanced reservations. Among 150 advanced reservations, find the probability that there will be fewer than 20 no-shows.

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Question 381010: If grass grows at the rate of 4 inches per week, how many feet per hour does it grow?
Question 11 answers

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Question 380979: Find the area under the standard normal curve:
I. to the right of z = -0.61
II. to the left of z = -0.61

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Question 381212: In an essay contest, a teacher finds that seven students have written excellent essays. Three of these students are Alicia, Pat, and David. If the teacher chooses the first place winner, second place winner, and thrid place winner at random from these seven students, what is the probability that Alicia will win first prize, Pat will win second prize, and David will win thrid prize?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 381191: From a jar of marbles containing 4 blue marbles, 3 yellow marbles, 2 red marbles, and 1 magenta marble, you draw two marbles without replacement. Determine the following probabilities. (in non-reduced fraction form)
a. P(red and then blue) b. P(yellow and yellow)
c. P(red|yellow) d. P(magenta|magenta)

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Question 381194: Assume that the population of heights of female college students is approximately normally distributed with mean m of 65 inches and standard deviation s of 2.75 inches. Show all work.
(A) Find the proportion of female college students whose height is greater than 67 inches.
(B) Find the proportion of female college students whose height is no more than 67 inches.

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Question 381223: Suppose one card is selected at random from an ordinary deck of 52 playing cards. let
A= event a diamond is selected
B= event a club is selected
Determine P(A/(not B))

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Question 381228: In an essay contest, a teacher finds that seven students have written excellent essays. Three of these students are Alicia, Pat, and David. If the teacher chooses the first place winner, second place winner, and third place winner at random from these seven students, what's the probability that Alicia will win first prize, Pat will win second prize, and David will win third prize?
Click here to see answer by stanbon(75887) About Me 

Question 381230: Suppose one card is selected at random from an ordinary deck of 52 playing cards. Let
A= event a queen is selected
B= event a diamond is selected
Determine P(B/A)

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Question 381264: There is a 1/5 20% probability that one type of appliance will break within 2 yrs. Find the probability that 4 out 15 appliances will break within that time period. I have so far p= 1- (4/15)x 2nd power as my formula. Doesn't look or feel like a good formula where am I going wrong. Thank you
Click here to see answer by stanbon(75887) About Me 

Question 381262: Suppose we are interested in testing whether the mean value for the number of children per adult matches the national value for the same variable. Suppose the following information is obtained by surveying residents. The mean number of children per adult is 3 with a standard deviation of 6. Assume the sample size is 64. If the national children per adult value is 1.7. calculate a Z test statistic to determine if these values are the same from a statistical perspective.
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Question 381330: A set of data is normally distributed with a mean of 1,000 and standard deviation of 100.
A). What would be the standard score for a score of 800?
* I got -2
B). What percentage of scores is between 1000 and 800?
* I do not know how to find this
C). What would be the percentile rank for a score of 800?
* I do not know how to find this

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Question 381394: A "Local" train leaves a station and runs at an average rate of 35 mph. An hour and a half later an "Express" train leaves the station and travels at an average rate of 56 mph on a parallel track. How many hours after it starts will the Express overtake the Local?

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Question 381234: An elevator has 4 passengers and 8 floors. Find the probability that no 2 passengers get off on the same floor considering that it is equally likely that a person will get off at any floor.
Click here to see answer by robertb(5830) About Me 

Question 381418: One thousand raffle tickets are sold for $2.00 each. One grand prize of $500 and two consolation prizes of $100 each will be awarded. Jeremy purchases one ticket. Find his expected value.
Click here to see answer by edjones(8007) About Me 
Question 381418: One thousand raffle tickets are sold for $2.00 each. One grand prize of $500 and two consolation prizes of $100 each will be awarded. Jeremy purchases one ticket. Find his expected value.
Click here to see answer by robertb(5830) About Me 

Question 381448: A continuous random variable X follows the t-distribution with 120 degree of freedom.
1) Find P(X>1.980)
2) Find P(X<-1.289)

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Question 381446: A random variable X follows the normal distribution, and another random variable Z follows the standard normal distribution
1) Explain the difference between the normal distribution and the standard distribution
2) Explain how the variables, X and Z are related.

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Question 381445: The probability distribution of a discrete random variable X is shown below
x 0 1 2 3
p(x) 0.25 0.40 0.20 0.15
1) Find the expected value of X and the standard deviation of X
2) Suppose another random variable, Y = -3X-2. Then find the expected value of Y and the standard deviation of Y
-3X-2)

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Question 381473: 1.) 2 cos 3x/x^3?
2.)ln 2t/ sqrt t?

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Question 381488: Suppose you have a set of three four sided dice. Your friend wants to bet that he/she can roll the number combination 1,2,3 (any combination i.e. no die shows a four, and no die duplicates another). She/he wants to roll the dice one hundred times and each time the combination 1,2,3 comes up you will give him/her one dollar, each time it does not come up she/he will give you 10 cents. How much would you expect to win or lose based on statistically theory.
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Question 381482: Please help me with this questions!
Consider a function f(x) = x2+x+1
1) Specify the integrated function F(x) for the given f(x).
2) Find the value of the area between 1 and 2 under the integrated function F(x)

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Question 381509: 7. (optional for extra credit: you are not required to solve this problem, but you could get extra points if you solve this problem)
Consider a function f(x) = x2+x+1
1) Specify the integrated function F(x) for the given f(x).
2) Find the value of the area between 1 and 2 under the integrated function F(x)
please help me to solve these questions i am so sorry and thank you :)

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Question 381507: 6. A continuous random variable X follows the t-distribution with 120 degree of freedom.
1) Find P(X>1.980)
2) Find P(X<-1.289)


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Question 381557: a coulpe plans to have 2 kids
determine the possible arrangemnets of boys ang girls
asuuming the boys and girld are equally likely draw a tree digram
probability 2 girls
atleast one girl
a girl then a boy
now i cam up with 4 possible arrangments
2 girls i got 1/4
at least ine girl 2/4
girl then a boy 1/4

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

Question 381449: Consider a function f(x) = x2+x+1
1) Specify the integrated function F(x) for the given f(x).
2) Find the value of the area between 1 and 2 under the integrated function F(x)

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Question 381759: A study was conducted to investigate the relationship between the cost, y (in tens of thousands of dollars), per unit of equipment manufactured and the number of units produced per run, x. The resulting equation for the line of best fit is given below, with x being observed for values between 10 and 200.
y = 7.13 − 0.01x
(a) If a production run was scheduled to produce 55 units, what would you predict the cost per unit to be in thousands and/or tens of thousands of dollars? $(00,000)
(b) What would be the cost per unit in dollars? $

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Question 381777: Suppose you have five books in your book bag. Three are novels, one is a biography, and one is a poetry book. Today you grab one book out of your bag without looking, and return it later. Tomorrow you do the same thing. What is the probability that grab a novel both days?
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Question 381787: A standard number cube (#1-6 on six sides) is tossed. Find each probability.
P(4 or less than 6)

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Question 381787: A standard number cube (#1-6 on six sides) is tossed. Find each probability.
P(4 or less than 6)

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Question 381795: Use the tables to answer questions. One student from each school is chosen at random to be on a committee. Find each probability.
School A
Freshman Sophomores Juniors Seniors
30% 27% 25% 18%
School B
Freshman Sophomores Juniors Seniors
28% 28% 24% 20%
1. junior from School A and a senior from School B
2. Two junior
3. A freshman or sophomore from School A and a senior from School B

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Question 381805: Two standard number cubes are rolled. What is the probability that the sum is 7 or an 11? The sum is a 2,3 or a 12? The sum is a 6 or 8? The sum is a &?
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Question 381786: A standard number cube (#1-6 on six sides) is tossed. Find each probability.
P(even or prime)

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Question 381783: A standard number cube (#1-6 on six sides) is tossed. Find each probability.
P(4 or even)

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Question 382011: i really need help please help me
1. Consider an experiment of picking a ball twice in a box with 4 different balls numbering from 1 to 4. The picked ball in the first try should be returned to the box for the second try.
1) Specify all the possible events from the experiment.
2) Find the probability of happening the event A, “the sum of the numbers from the two balls is 3”.
3) Find the probability of happening the event B, “the number of the 2nd ball is 2”.
4) Find the probability of happening the event of A and B.
5) Find the probability of happening the event of A after the event B happens.
6) Can we say that event A and B are mutually exclusive? If yes, why? or if not ,why not?
7) Can we say that event A and B are independent? If yes, why? or if not ,why not?

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Question 382011: i really need help please help me
1. Consider an experiment of picking a ball twice in a box with 4 different balls numbering from 1 to 4. The picked ball in the first try should be returned to the box for the second try.
1) Specify all the possible events from the experiment.
2) Find the probability of happening the event A, “the sum of the numbers from the two balls is 3”.
3) Find the probability of happening the event B, “the number of the 2nd ball is 2”.
4) Find the probability of happening the event of A and B.
5) Find the probability of happening the event of A after the event B happens.
6) Can we say that event A and B are mutually exclusive? If yes, why? or if not ,why not?
7) Can we say that event A and B are independent? If yes, why? or if not ,why not?

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Question 382002: If the probability no one is late for class is 0.45, then the probability at least one person is late is
a. 0.45
b. 0.55
c. 0.65
d. 0.75

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Question 382102: Find the fourth term without expanding the complete expression.
(9/x + x/9)^7

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Question 382090: how many ways can 1 card, not a face card, be drawn out of a deck 52 of cards? How do i set up the equation also?
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Question 382142: A bag contains 6 red marbles, 4 blue marbles, 7 white marbles and 9 yellow marbles. You are asked to draw 5 marbles from the bag without replacement. What is the probability of drawing less than two yellow marbles?
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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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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