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

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Question 1031523: A bag contains five (5) purple beads,
three (3) green beads, and two (2) orange beads.
Two consecutive draws are made from the box without
replacing the first draw. Find the probability of
each event.
purple, then orange ?
purple, then blue?
orange, then purple?
green, then purple ?
orange, then orange ?

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

Question 1031560: Let x be the number of courses for which a randomly selected student at a certain university is registered. The probability distribution of x appears in the following table.
x 1 2 3 4 5 6 7
p(x) 0.02 0.03 0.09 0.25 0.39 0.17 0.05
It can be easily verified that the mean value of random variable x = 4.67 and standard deviation of random variable x = 1.21.
(a) Because 4.67-1.21 = 3.46, the x values 1, 2, and 3 are more than 1 standard deviation below the mean. What is the probability that x is more than 1 standard deviation below its mean?
P(x <4.67-1.21 ) = 0.000054

its incorrect but what i did was multiply the probabilities of the corresponding x values that was said to be more than one deviation

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

Question 1031605: The age distribution of a population is show .Fine the probability of each event .
under 5% : 7%
5 - 14 : 13%
15 - 24; 14%
25-34 : 13%
35 -44 ;13%
45 - 54: 15%
55 - 64 : 12%
65+ 13%
A) A person chosen at random is at least 15 years old.
B) A person chosen random is from 25 year to 44 years old

Thanks

Click here to see answer by ikleyn(52756) About Me 

Question 1031504: Records show that a child of parents with heart disease has a probability of (fraction) 6/7 of inheriting the disease. Assuming independence, what is the probability that, for a couple with heart disease that have two children:
(a) Both children have heart disease. Enter the exact answer.
(b) Neither child has heart disease. Enter the exact answer.
(c) Exactly one child has heart disease. Enter the exact answer

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

Question 1031544: Given a sample set having a variance of 25, estimate the range.
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Question 1031630: Bears have a mean height of 2.4 m and a standard deviation of 0.24 m. If there are 500 bears in Canada, how many of these would be expected to be less than 2.6 m in height? Give you answer as a whole number
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1031508: Efraim Furniture Manufacturing Company hires two people who work independently to identify defects in workmanship.
(a) If the probability an inspector misses a defective piece is 0.24, what is the probability both inspectors pass a defective piece of furniture?
Round your answer to three decimal places.
(b) How many inspectors should be hired to insure the probability of failing to identify a defective piece is less than 0.01 ⁢?
Round your answer to the nearest integer.

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

Question 1031674: You sneak into the gradebook to see how you are performing compared to your fellow classmeates. You learn that the mean score on the first exam was an 84 with a standard deviation of 16.
a. what is the z-score corresponding to a score of 81? How do you interpret the score?
b. What is the probability that someone would score a 60 or lower?
c. what is the probability that someone would score between an 80 or 90?

Click here to see answer by adunbar(3) About Me 

Question 1031782: A band teacher is taking some of her students to play at the town fair. If she is taking 1 trumpeter, 1 saxophonist, 1 drummer, 3 clarinetists, and 2 flutists, how many ways can she arrange them?
Click here to see answer by ikleyn(52756) About Me 

Question 1031780: What is the total number of different arrangements for the letters in the word UNITE if the first letter must be a vowel?
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Question 1031779: A 4-digit pin number is to be created using the digits 0 through 9. The first digit must be a 5 or an 8, and the last digit cannot be 0. How many pin numbers can be created?

Click here to see answer by ikleyn(52756) About Me 

Question 1031726: H0: p = 0.60 versus Ha: p ≠ 0.60 and find a test statistic of negative 1.88. What's the p-value for your test?
Click here to see answer by robertb(5830) About Me 

Question 1031741: a student takes an exam containing 12 true or false questions if the student guesses what is the probability that he will get exactly 2 questions right?
Click here to see answer by robertb(5830) About Me 

Question 1031784:
A golf tournament is taking place with senior and rookie players. If first, second, and third prizes will be awarded to players from each division, which expression shows how many ways can the golfers can place if there are 35 senior golfers and 20 rookie golfers?


A.
35P3 + 20P3

B.
35P3 • 20P3

C.
35C3 • 20C3

D.
35C3 + 20C3


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

Question 1031807: What is the answer to this question? We have 76 field trip information responses, which is 80% of what we need. How many do we need total (rounded to the nearest whole percent).
Click here to see answer by Cromlix(4381) About Me 

Question 1031836: In a binomial experiment with 8 trials, what does the random variable measure?
Click here to see answer by Fombitz(32388) About Me 

Question 1031825: Suppose you did a survey of male shoes size and the mean of that survey was size 10 with a standard deviation of 1.5. What is the z-score of a size of 11?

0.75

0.5

0.67

0.32

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

Question 1031824: Find the z value to the right of the mean so that

a. 53.98% of the area under the normal distribution curve lies to the left of it.
b. 71.90% of the area under the normal distribution curve lies to the left of it.
c. 96.78% of the area under the normal distribution curve lies to the left of it.

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

Question 1031823: I need help with formulas and how to apply them to this type of question
The average age of Chief police is 56 years. Assume the variable is normally distributed. If the standard deviation is four years, find the probability that the age of a randomly selected Chief will be in the following range.
a. Between 53 and 59 years old
b. Between 58 and 63 years old
c. Between 50 and 55 years old

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

Question 1031822: I am a little stuck from this point
A survey found that people keep their television sets an average of 4.8 years. The standard deviation is 0.89 year, and assume that this variable (length of time) is normally distributed. If a person decides to by a new TV set, find the probability that he or she has owned the old set for the following amount of time:Z=X-µ/б
a. Less than 2.5 years
-P(X<2.5) Z=2.5-4.8/0.89
b. Between 3 and 4 years
-P(3
c. More than 4.2 years
-P(X>4.2)

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Question 1031891: The probability of success in one trial of a binomial experiment is p = 0.36
Find the probability of obtaining 3 successes out of 5 trials.

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Question 1031950: The time that customers take to complete their transaction at a money machine is a random variable with mean of 2 minutes and a standard deviation of 0.6 minutes. Assume the variable is normally distributed.
a) What is the probability that a randomly selected customer will take between 1.5 and 2.5 minutes to complete his transaction?
b) Find the probability that a random sample of 50 customers will take more than 112 minutes to complete all their transactions

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Question 1031979: A red card (r)is drawn from an ordinary deck of 52 playing cards.what is the probability that it is of a flower suit(f).p(f/r)
Click here to see answer by Alan3354(69443) About Me 

Question 1031837: Problem #1
Suppose two dice are rolled. Let A be the event that the sum of the two dice is 7. Find an event B related to numbers on the dice such that A and B are
a. independent;
b. dependent.

Click here to see answer by richard1234(7193) About Me 

Question 1031980: A fair die is tossed 3times.calculate the probabilities of getting a)0 two's,b)1 two's, c)2 two's,d)3two's
Click here to see answer by Boreal(15235) About Me 

Question 1031952: An automobile road service company wishes to estimate the proportions of the different emergency road services (ERS) requests. Upon examining a sample of 3000 ERS calls it finds that 1450 calls related to starting problems, 850 calls involved serious mechanical failures requiring towing, 500 calls involved flat tires or lockouts, and 200 calls were for other reasons.
a) Estimate the true proportion of ERS calls that involved serious mechanical failures requiring towing. (Round your answer to two decimal places).
b) Construct the 99% confidence interval for the true proportion of ERS calls that involved serious mechanical failures requiring towing. (Round your answers to two decimal places).
c) Interpret the results of part b.

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

Question 1031889: The probability of Jack passing a required english class is p = 0.60
What is the probability that jack will pas this english class on his 4th attempt?

Click here to see answer by LinnW(1048) About Me 

Question 1032030:
Question:
Jim has a total of 77 red and blue marbles. The number of blue marbles is five more than twice the number of red marbles.
Write a pair of linear equations to represent information. Be sure to indicate what the variables represent.
Explain the replacement method solving this pair of equations. Solve the equations to find the number of red marbles. Show your work.

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

Question 1032100: Toss a coin and roll a die. What is the probability of obtaining heads or an even number?
Click here to see answer by robertb(5830) About Me 

Question 1027561: If a woman has 10 blouses, 6 skirts and 4 pairs of shoes, in how many ways can she choose two dresses and two pairs of shoes assuming any combination of blouse, skirt and pair of shoe matches.
3600
7240
2100
4050
A bus starts with 8 people and stops at 9 different stops.how many different ways can the 8 people depart if no two passengers can leave at the same bus stop
464024
362660
460040
362030
A group of students consist of 4 men, 6 women and 5 transgenders The students are ranked according to their performance in a quiz competition. Assuming no two students obtain the same score, how many ranking are possible if each category of students are ranked among themselves?
2073600
360240
468880
720000
A red die and a green die are rolled once. Find the conditional probability that the number on red die is odd, given that the sum of the two numbers showing is 9
1/5
2/3
1/8
1/2
If 55% of companies in victoria island own an answering machine, what is the probability that 3 of the next 4 randomly selected companies in victoria island will own an answering machine?
0.2995
0.3541
0.7500
0.4521

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Question 1032158: Flip three coins simultaneously 100 times.
P(two heads and one tail)=

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

Question 1032159: A single card is selected from an ordinary deck of cards.
P(a spade or a jack)=

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

Question 1032160: Find the probability of rolling a pair of dice.
P(sum of the dice is eight or ten)=

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Question 1032161: Consider a die that has only four sides, marked 1,2,3,4. Toss a pair of these dice and assume the outcomes are equally likely.
P(sum of dice is three)=

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

Question 1032165: You perform the following experiement: You shuffle a deck of 52 cards and randomly select one card. THe successful event is you draw a king. You replace the card and repeat this experiment 5 times. What is the probability you will get exactly two successes?
4 kings out of 52 cards.

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

Question 1032177: What is the probability of a family with six children having four boys and two girls?
Click here to see answer by robertb(5830) About Me 

Question 1032136: A Bag contains 6 yellow beads and a number of green beads. When a bead is selected at random, the probability that a yellow bead is selected is 2/5. How many green beads are in the bag? Thanks!
Click here to see answer by josmiceli(19441) About Me 

Question 1032175: What is the probability of obtaining at least one head in seven flips of a coin?
Click here to see answer by robertb(5830) About Me 

Question 1032171: Suppose that in a particular game two dice are tossed, and various amounts are paid according to the outcome. Find the probability.
"If a sum of twelve or a sum of eleven occurs on the first roll, the player wins. What is the probability of winning on the first roll?"

Click here to see answer by robertb(5830) About Me 

Question 1032215: BMI. Body mass index (BMI) = weight in lbs/height inches^2 x 703. An adult BMI of 24 is considered desirable.i A study of 12 adults that used a one-sample t-test to address Ho: u = 24 reported a tstat of 2.16.
a) What is the one-sided P-value for this test?
b) What is the two-sided P-value?

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

Question 1032237: A safe containing $1,000,000 is locked with a combination lock. You pay $15 for one guess at the six-digit combination. If you open the lock, you get to keep the million dollars. What is your expectation?
Click here to see answer by Alan3354(69443) About Me 

Question 1032214: Correlation matrix. Statistical packages can easily calculate correlation coefficents for multiple pairings of variables. Results are often reported in the form of a correlation matrix. Figure 14.18 displays the correlation matrix for data from study of geographic variation in cancer rates.r The variables are:
CIG cigarettes sold per capita
BLAD bladder cancer deaths per 100,000
LUNG lung cancer deaths per 100,000
KID kidney cancer deaths per 100,000
LEUK leukemia cancer deaths per 100,000
Notivce that the values for each correlation coefficient appear twice in the matrix, eact tie the variables intersect in either row or column order. For example, the value r = 0.704 occurs for CIG and BLAD and for BLAD and CIG. The correlation of 1 across the diagonal reflects the trivial fact that each variable is perfectly correlated with itself. Review this correlation matrix and interpret results.


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Question 1032176: What is the probability of obtaining a sum of at least eight when rolling a pair of dice?
Click here to see answer by Edwin McCravy(20054) 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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