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

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Question 1155265: Find the​ Z-scores that separate the middle 47​% of the distribution from the area
in the tails of the standard normal distribution.

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

Question 1155284: Determine the number of arrangements of the letters of the word SAMPLING
a) if there are no restrictions
b) if MP must not be together

c) if the 2nd and 5th letters must be vowels

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

Question 1155287: High temperatures in a certain city for the month of August follow a uniform distribution over the interval 66°F to 88°F. What is the probability that a randomly selected August day has a high temperature that exceeded 71°F? (Round your answer to 4 decimal places)
Click here to see answer by greenestamps(13195) About Me 

Question 1155291: A person claims to have ESP​ (extrasensory perception). A coin is tossed 30 ​times, and each​ time, the person is asked to predict in advance whether the coin will land heads or tails. The person predicts correctly 60​% of the time​ (i.e., on 18 ​tosses). What is the probability of being correct 18 or more times by pure​ guessing
Click here to see answer by ikleyn(52752) About Me 

Question 1155285: There is a group of 85 teachers. 40 of them have CPR training, 33 have fitness training and 42 have water safety training. 15 have CPR and fitness training, 12 have CPR and water training, 10 have fitness training and water safety training and 5 have all three types of training.
a) Make a three circle Venn diagram to illustrate these results.
b) How many teachers have exactly two of these training qualifications?

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

Question 1155320: Each of the following is the discriminant of a quadratic equation. Write whether the equation is factorable, not factorable,or no real solutions. 1.____28 2.____225 3.____-36
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1155321: Identify the values of coefficients a,b, and c in each equation. 1. 5x2-6x+11=0 a=__b=__c=__ 2. x2=3x+7 a=__b=__c=__
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1155319: Find the percentage. Round to the nearest whole percent. 1.______14 out of 42 2.______18 out of 45 3,______23 out of 60
Click here to see answer by Alan3354(69443) About Me 
Question 1155319: Find the percentage. Round to the nearest whole percent. 1.______14 out of 42 2.______18 out of 45 3,______23 out of 60
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1155315: Find the probability of the following. A box contains 30 striped or solid paper clips: 8 are red, 3 are green, 5 are blue, 7 are blue and red, 3 are black, and 4 are white. One paper clip is chosen. 1.______ The paper clip is green 2.______ The paper clip is blue 3._______The paper clip is either red or blue 4 4.______ The paper clip is black or white
Click here to see answer by Boreal(15235) About Me 

Question 1155247: estimate the population mean by taking a sample and constructing a 99% confidence interval.
You know the population standard deviation is 10.97.
Compute the minimum sample size needed to ensure that your interval estimate has a margin of error less than or equal to 0.8.

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

Question 1154909: Assume the random variable x is normally distributed with mean = 50 and standard deviation = 7. Find the indicated probability P(x>39)
Click here to see answer by Boreal(15235) About Me 

Question 1154943: The average number of moves a person makes in his or her lifetime is 12. If the standard eviction is 3.2, find the probability that the mean of a sample of 36 people is
a. Less than 10
B.greater than 10
C. Between 11 and 12

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

Question 1155351: Each morning gataro does one of the following exersises cycling , jogging and weightlifting he chooses the exersise to do by topping a father die the faces of the die are numbered 1,1,2,3,4,5 if the score is 2,3,5 he goes for cycling ,if the score is 1, he goes for jogging if it is 4,he goes for weightlifting find the probability that on a given morning he goes for cycling or weightlifting ,and the probability that
on consecutive mornings he goes for jogging

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

Question 1155350: A flush can occur if a player receives five clubs or five diamonds or five hearts or five spades. Compute​ P(five clubs or five diamonds or five hearts or five​ spades). Note that the events are mutually exclusive.
​P(five clubs or five diamonds or five hearts or five ​spades)equals

Click here to see answer by math_helper(2461) About Me 

Question 1155364: 20% of items produced from a factory are defective.find the probability that in a sample of 5cjosen at random 1; none is defective 2; one is defective 3: p(1
Click here to see answer by dkppathak(439) About Me 

Question 1155356: Assume that adults have IQ scores that are normally distributed with a mean of 102.6 and a standard deviation of 21.2. Find the probability that a randomly selected adult has an IQ greater than 133.7. ​
Click here to see answer by VFBundy(438) About Me 
Question 1155356: Assume that adults have IQ scores that are normally distributed with a mean of 102.6 and a standard deviation of 21.2. Find the probability that a randomly selected adult has an IQ greater than 133.7. ​
Click here to see answer by dkppathak(439) About Me 

Question 1155410: If a procedure meets all of the conditions of a binomial distribution except the number of trials is not​ fixed, then the geometric distribution can be used. The probability of getting the first success on the xth trial is given by
​P(x)equals=p left parenthesis 1 minus p right parenthesis Superscript x minus 1p(1−p)x−1​,
where p is the probability of success on any one trial. Subjects are randomly selected for a health survey. The probability that someone is a universal donor​ (with group O and type Rh negative​ blood) is
0.060.06.
Find the probability that the first subject to be a universal blood donor is the
fifthfifth
person selected.

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

Question 1155395: In a standardized IQ test, scores are normally distributed, with a mean of 100 and a standard deviation of 15. Out of 2000 randomly selected people, about how many would you expect to have an IQ score of less than 90?
Click here to see answer by Boreal(15235) About Me 

Question 1155344: In a survey of 650 males ages​ 18-64, 394 say they have gone to the dentist in the past year.
Construct​ 90% and​ 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals

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

Question 1155391: A prime number is a number that is evenly divided only by 1 and itself. The prime numbers less than 100 are listed below
2 3 5 7 11 13 17 19 23 29 31
37 41 43 47 53 59 61 67 71 73 79
83 89 97
Choose one of these numbers at random. Find the probability that
The sum of the number’s digit is even
The number is even
The number is greater than 50
The sum of the number’s digit is odd
The sum of the number’s digits is a prime number

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

Question 1155420: A commercial building contractor is trying to decide which of two projects to commit her company to. Project A will yield a profit of $50,000 with a probability of 0.6, a profit of $82,000 with a probability of 0.3, and a profit of $10,000 with a probability of 0.1. Project B will yield a profit of $100,000 with a probability of 0.1, a profit of $67,000 with a probability of 0.7, and a loss of $20,000 with a probability of 0.2. Find the expected profit for each project. Based on expected values, which project should the contractor choose?

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

Question 1155430: Suppose that E and F are Two event and that P (E and F) = 0.4 and P(E)= 0.8 what is P(F|E)?
Click here to see answer by ikleyn(52752) About Me 

Question 1155402: solve a algebra expession. dart wheel has 20 numbers 1-20. Write an expression hitting a number equal to the number. Each expression must include each of the numbers 1, 2, 3, and 4 exactly once, but no other number
Click here to see answer by ikleyn(52752) About Me 

Question 1155449: Suppose the probability that it will rain tomorrow is 0.53. What is the probability that it will not rain tomorrow?
Click here to see answer by ikleyn(52752) About Me 

Question 1155459: A card is selected at random from a standard deck of playing cards.
Compute the probability that the card is a 3. (Enter the probability as a fraction.)

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

Question 1155390: Schools are classified by the number of computers they had
# of Computers 1 - 10 11 - 20 21 - 50 51 - 100 0ver 100
# of Schools 3170 4590 16, 741 23, 753 34, 803
Choose one school at random. Find the probability that it has
More than 100 computers
50 or fewer computers
No more than 20 computers
At least 21 computers

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

Question 1155328: A survey of college students find that 38% of students like country music, 25% like gospel music, and 15% like both. The proportion of students that like country music but not gospel music is?

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

Question 1155491: If P(A) = 0.7, P(B) = 0.6, and P(A or B) = 0.8, find P(A and B).
P(A and B) =

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

Question 1155490: According to insurance records, a car with a certain protection system will be recovered 88% of the time. If 500 stolen cars are randomly selected, what is the mean and standard deviation of the number of cars recovered after being stolen?
Click here to see answer by Boreal(15235) About Me 

Question 1155488: If
P(A) = 0.3,

P(B) = 0.7,
and
P(A and B) = 0.2,
find
P(A or B).
P(A or B) =

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

Question 1155487: In a recent survey, 77% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 6 of them favor the building of the health center
Click here to see answer by Boreal(15235) About Me 

Question 1155466: The following table describes the result of road-worthiness tests of Ford Focus cars that are three years old (based on data from the department of transportation ). The random variable x represents the number of cars that failed among five that were tested for road-worthiness 
   x
  P(x)
   0
 0.377
   1
 0.399
   2
 0.176
   3
 0.041
   4
 0.005
   5
0
Find the probability of getting three or more cars that fail among five cars tested,
Group of answer choices
0.046
0.005
0.222
0.048

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

Question 1155451: Assume that a set of test scores is normally distributed with a mean of 120

and a standard deviation of 20
.
Use the​ 68-95-99.7 rule to find the following quantities.
A. The percentage of scores less than 120

is _ ?
B. The percentage of scores greater than 140

is _ ?
C. The percentage of scores between 80

and 140

is _ ?

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

Question 1155501: A box contains 7 yellow, 15 green and 17 red jelly beans.
If 2 jelly beans are selected without replacement, what is the probability that:
a) Exactly 1 is yellow and 1 is green?

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

Question 1155502: Two balls were placed in a box. Each ball was equally likely to be red or green.
We know that at least one of the balls is red.
The probability that both of the balls are red is

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

Question 1155485: Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.
How many two-digit even numbers are possible?

Click here to see answer by ikleyn(52752) About Me 
Question 1155485: Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.
How many two-digit even numbers are possible?

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

Question 1155486: Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is at least 9?
Click here to see answer by ikleyn(52752) About Me 

Question 1155507: Two marbles are drawn one after the other without replacement from a bag that contains:
9 red marbles, 8 blue marbles, and 3 green marbles.
Find the probability of the following events.
(a) One red marble and one green marble are drawn in either order.
The probability is :
(b) Two blue marbles are drawn.
The probability is :
(c) At least one marble is drawn that is not blue.
The probability is :
(d) The second marble is green if we know that the first marble is green.
The probability is:

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

Question 1155511: Lucia is exploring theoretical and experimental probability.
She does an experiment where she draws one colored block from a bag, notes the color and then returns the block to the bag.
The results of her experiment are:
30 white, 58 blue, 76 red and 10 orange blocks.
Lucia then opens up the bag and discovers that it contains:
5 white, 9 blue, 16 red and 2 orange blocks.
1. Find the experimental probability of getting a white.
Answer:
2. Find the experimental probability of getting a red.
Answer:
3. Find the theoretical probability of getting a white.
Answer:
7. Find the theoretical probability of getting a red.
Answer:

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

Question 1155515: A card is selected at random from a standard deck of playing cards.
Compute the probability that the card is a 6. (Enter the probability as a fraction.)

Click here to see answer by Alan3354(69443) About Me 
Question 1155515: A card is selected at random from a standard deck of playing cards.
Compute the probability that the card is a 6. (Enter the probability as a fraction.)

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

Question 1155530: A box contains 3 red and 7 green marbles. If 9 marbles are drawn without replacement, what is the expected number of red marbles?
Click here to see answer by greenestamps(13195) 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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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