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

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Question 1154596: suppose that E and F are two events and that P(e and f)=0.2 and P(e)=0.5. What is P(f|e)?
Click here to see answer by ikleyn(52756) About Me 

Question 1154656: suppose you just received a shipment of ten televisions. four of the televisions are defective. if two televisions are randomly selected, compute the probability that both televisions work. what is the probability that at least one of the two televisions don’t work?
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Question 1154656: suppose you just received a shipment of ten televisions. four of the televisions are defective. if two televisions are randomly selected, compute the probability that both televisions work. what is the probability that at least one of the two televisions don’t work?
Click here to see answer by ikleyn(52756) About Me 

Question 1154707: In drawing of two cards in a standard deck one at a
time without replacement, what is the probability
that you will not get an king on the second draw if it
is given that you did not draw king on the first draw?

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Question 1154705: The probability that it will rain on Saturday is 45%
and the probability that it will rain on Sunday is
40% . If there is a 15% chance of rain on both
Saturday and Sunday, what is the probability of
rain on either Saturday or Sunday?

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Question 1154733: A group of 2193 students were surveyed about the courses they were taking at their college with the following results:
1192 students said they were taking Dance.
1143 students said they were taking English.
1199 students said they were taking Math.
583 students said they were taking Dance and English.
697 students said they were taking English and Math.
646 students said they were taking Dance and Math.
372 students said they were taking all three courses.
a) Fill in the following Venn Diagram with the cardinality of each region.
DanceEnglishMathI.
335
II.
211
III.
235
IV.
274
V.
372
VI.
325
VII.
228
VIII.
213
a) How many students took Dance or Math, but not English?
b) How many students took Dance, English, or Math?
c) How many students took Dance & English or took English & Math?
d) How many students took English and Math, but not Dance?
e) How many students took Dance or didn't take English?
f) How many students took none of the courses?

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

Question 1154650: a flush in the card game of poker occurs if a player gets five that are all the same suit( clubs, diamonds, hearts or spades). complete parts a and b to obtain the probability of being dealt a flush in five cards.
a)initially concentrate on one suit, say clubs. there are 13 clubs in a deck. complete p(five clubs)= p(first card is clubs and second card is clubs and third card is clubs and fourth card is clubs and fifth card is clubs )
p(five clubs)=?

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Question 1154743: There are 10 female board members and 11 male board members. If a committee of 12 members is randomly chosen, what is the probability that the committee has exactly 4 females?
Round your answer to 6 decimal places as needed.

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Question 1154796: a fair coin is tossed 16 times what is the probability of obtaining heads exactly once

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Question 1154797: a fair coin is tossed 16 times what is the proabability of obtaining heads exactly once. express the answer both in terms os nCk and as a four place decimal

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Question 1154806: What is the probability the student is not a credit card carrier and a sophomore?
credit card carrier|not a credit card carrier | total
freshman 40        |20                        |60
sophomore 25       |15                        |35
overall total= 100


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Question 1154827: What is the probability the student is not a credit card carrier and a sophomore?
credit card carrier|not a credit card carrier | total
freshman 40 |20 |60
sophomore 25 |15 |40
overall total= 100

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Question 1154722: 9 freshmen, 9 sophomores, 10 juniors, and 8 seniors are eligible to be on a committee.
In how many ways can a dance committee of 15 students be chosen?
In how many ways can a dance committee be chosen if it is to consist of 2 freshmen, 6 sophomores, 4 juniors, and 3 seniors.

Click here to see answer by VFBundy(438) About Me 

Question 1154846: Assume that there is an urn containing seven $50 bills, six $20 bills, five $10 bills, four $5 bills, and one $1 bill and that the bills all have different serial numbers so that they can be distinguished from each other. A person reaches into the urn and withdraws one bill and then another.
Click here to see answer by ikleyn(52756) About Me 

Question 1154902: if the police have 8 suspects, how many different ways can they select 5 for a line up based on heights?
Click here to see answer by ikleyn(52756) About Me 

Question 1154899: a box contains 8 red ,3 white ,9 blue balls .if 3 balls are drawn random without replacement determine the probability that (1) at least 1 is white .(2) 1 of each color is drawn .(3) the balls are drawn in the order red ,white blue .
Click here to see answer by ewatrrr(24785) About Me 

Question 1154930: Based solely on the information given is there reason to question the results or the method? Explain your reasoning. A survey of hourly wages of fast food workers in a large city samples 20 workers from each of ten fast food restaurants. The results and method are? Because why?
Click here to see answer by ikleyn(52756) About Me 

Question 1154944: Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
Rolling a single die 26 times, keeping track of the numbers that are rolled.

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Question 1154953: Mixed in a drawer are 4 blue​ socks, 6 white​ socks, and 88 gray socks. You pull out two​ socks, one at a​ time, without looking. Find the probability of getting 2 socks of the same color. The probability of getting 2 socks of the same color is
Click here to see answer by greenestamps(13195) About Me 

Question 1154954: Mixed in a drawer are 4 blue​ socks, 6 white​ socks, and 8 gray socks. You pull out two​ socks, one at a​ time, without looking. Find the probability of getting 2 socks of the same color. The probability of getting 2 socks of the same color is

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

Question 1154962: Patricia owns all thirteen books in the A Series of Unfortunate Events series. In how many different orders can she place all of them on the top shelf of her bookshelf?
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Question 1154937: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.7 years, and standard deviation of 2.7 years.
The 6% of items with the shortest lifespan will last less than how many years?

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Question 1154968: THERE IS A BAG FILLED WITH 5 BLUES AND 4 RED MARBLES.
A MARBLE IS TAKEN AT RANDOM FROM THE BAG,THE COLOR IS NOTED AND THEN IT IS REPLACED.
ANOTHER MARBLE IS TAKEN AT RANDOM.
WHAT IS THE PROBABILITY OF GETTING EXACTLY ONE BLUE?

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Question 1154996: A manufacturer of window frames knows from long experience that 20% of the production will have some type of minor defect that will require an adjustment. What is the probability that in a sample of 16 window frames:

a. None will need adjustment? (Round the final answer to 3 decimal places.)

Probability
0.028

b. At least one will need adjustment? (Round the final answer to 3 decimal places.)

Probability
0.972

c. More than two will need adjustment? (Round the final answer to 3 decimal places.)

Probability

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Question 1155076: What are the three permutations of the letters in the word MATHEMATICS?
Click here to see answer by ikleyn(52756) About Me 

Question 1155078: A student must answer 7 questions on a 12 question test. How many ways can a student do this, and how many ways are there if the student must answer the first and last questions?
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Question 1155088: Can somebody please help me? I don't get this problem. The National Weather Service (NWS) reports that the probability that Durango will be windy on a
given day is 20%, and the probability that it will be sunny on a given day is 73%. The NWS also reports that the probability Durango will be sunny on a windy day is 34%. What is the probability that Durango will be windy on a sunny day? Report your answer as a percent (rounded to the nearest percent).

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

Question 1155063: The following density function describes a random variable 𝑋.
𝑓(𝑥)={(𝑥−1)/8 if 1 < 𝑥 < 5,
{0 otherwise
A. Find the probability that 𝑋 lies between 2 and 4.
B. Find the probability that 𝑋 is less than 3.

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

Question 1155107: Let U={1,2,3,4,5,6,7,8,9}, X={2,4,6,8}, Y={2,3,4,5,6}, Z={1,2,3,8,9}:
Find X ⋂ (Y ′⋃ Z′)

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

Question 1155110: A jar contains seven blue marbles and five red marbles. Suppose you choose a marble at​ random, and do not replace it. Then you choose a second marble. Find the probability of the following event.
Both of the selected marbles are red.

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

Question 1155091: A bag contains 5 black, 1 red, and 3 yellow jelly beans; you take 3 at random. How many samples are possible in which there 2 black and 1 yellow jelly bean?
Click here to see answer by ikleyn(52756) About Me 

Question 1155081: List three permutations of the letters in the word STATISTICS, and how many different permutations of the letters in STATISTICS are there?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1155043: Nationwide, the average waiting time until a electric utility customer service representative answers a call is 260 seconds. The Gigantic Kilowatt Energy Company randomly sampled 30 calls and found that, on average, they were answered in 227 seconds with a population standard deviation of 40 seconds. Can the company claim that they are faster than the average utility at α = 0.05?
A) Yes, because the test value - 4.52 falls in the critical region.
B) No, because the test value - 0.83 falls in the critical region.
C) Yes, because the test value - 0.15 falls in the critical region.
D) No, because the test value - 0.15 falls in the critical region.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1155142: The number of calls received per day at a crisis helpline is distributed according to the following discrete probability distribution. Find the missing number and then use your answer to compute the mean and standard deviation of the discrete probability distribution. Here, the discrete random variable, x, represents the number of calls in a day.
x 30 31 32 33 34
P(X) .05 .21 ? .15 .11

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Question 1155116: There are three boxes containing black and white balls. Box 1 contain 4 white ball, 2 black ball, Box 2 contain 3 white ball and 2 black and Box 3 contain 1 white ball and 2 black. Draw a ball from box 1 and place it in box 2. Then draw a ball from box 2 and place it in box 3. Finally draw a ball from box 3.
A. What is the probability that the last ball, drawn from box 3 is white?
B. What is the probability that the last ball drawn is black ball?

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

Question 1155213: Of the 34 cars in a parking lot, 12 are blue, 8 are red, 4 are white, and 10 are silver. In simplest form, what are the odds in favor that the next car that leaves the lot will be red or white?
A. 6:11
B. 6:17
C. 17:6
D. 11:6





Click here to see answer by ewatrrr(24785) About Me 
Question 1155213: Of the 34 cars in a parking lot, 12 are blue, 8 are red, 4 are white, and 10 are silver. In simplest form, what are the odds in favor that the next car that leaves the lot will be red or white?
A. 6:11
B. 6:17
C. 17:6
D. 11:6





Click here to see answer by jim_thompson5910(35256) About Me 

Question 1155204: Six physics books and five geometry books are on a shelf. How many ways can they be arranged if the physics books are kept together and the geometry books are kept together?
Please show steps! Thanks!

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Question 1155220: On a clear​ day, a major towing company makes an average of 116 service calls for motorist​ assistance, on a rainy day it makes an average of 165 service​ calls, and on a snowy day it makes an average of 216 service calls. If the weather is clear 192 days of the​ year, rainy 112 days of the​ year, and snowy 61 days of the​ year, determine the expected number of service calls made by the company in a given day.
Click here to see answer by ikleyn(52756) About Me 

Question 1155252: A bag is filled with 9 white tokens, 5 blue tokens 4 green tokens and 2 red tokens
Two tokens are drawn from the bag without replacement. What is the probability that both tokens are blue?

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Question 1155254: The probability that a person will get at least 1 speeding ticket per year is 10%. Find the probability that of the next 8 randomly selected people, that 3 of them received a speeding ticket in the previous year. Do not just use the bionomial table show your work.
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Question 1155255: A game is played where if you are dealt a face card, from a standard deck of 52 cards you win $10. If you are dealt any other card you must pay $4. What is the expected lost/gain from playing this game?
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Question 1155185: A pollster randomly selected 2 of 12 available people.

How many different groups of two are possible?

Number of possible groups

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Question 1155196:
In a different plan for area​ codes, the first digit could be any number fromnbsp 2 throughnbsp 8​, the second digit was eithernbsp 2 comma 3comma nbspornbsp 4​, and the third digit could be any number exceptnbsp 0nbsp. With this​ plan, how many different area codes are​ possible?

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

Question 1155259: Bob is a high school basketball player. He is a 90 % free throw shooter. That
means his probability of making a free throw is 0.90. During the season, what is
the probability that Bob makes his third free throw on his fifth shot?

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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