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

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 473406: Suppose that a certain college class contains 54 students. Of these, 27 are sophomores, 33 are economics majors, and 10 are neither. A student is selected at random from the class.
(a) What is the probability that the student is both a junior and a psychology major?
(b) Given that the student selected is a junior, what is the probability that he is also a psychology major?
Write your responses as fractions.
Click here to see answer by stanbon(57328)

Question 473411: The standard number of cars to start at the Daytona 500 is 43. How many ways can the cares finish first, second, and third. Show work!
Find the percent of the total area under a normal curve that is contained within the specified interval. Between z=-2.36 and -0.14

Click here to see answer by stanbon(57328)

Question 473481: Birth weights are normally distributed with a mean weight of 3285 grams and a standard deviation of 500 grams.
What is the probability of a birth weight more than 3285 grams?
What is the probability that the birth weight is between 2785 grams and 3785 grams?
What is the probability that the birth weight is between 785 grams and 5785 grams?
Is the area to the right of X = 4285 greater than or less than 0.5? Without calculating, how would you know this?
Click here to see answer by stanbon(57328)

Question 473512: sally has 6 red flags, 6 green flags, and 5 white flags. how many 17-flag signals can she run up the flag pole?
Click here to see answer by stanbon(57328)

Question 473524: a certain airplane has two independent alternatore to provide electrical power. The probability that a given alternator will fail on a one jour flight is.02. What is the probability that (a) both will fail (b) neither will fail (c) one or the other will fail? Show all steps carefully. What are the steps?
Click here to see answer by stanbon(57328)

Question 473511: A bag contains 4 white and 2 black balls. Another bag contains 3 white and 3 black balls. One ball is drawn from each bag at random. What is the probability that they are different colours?
Click here to see answer by Edwin McCravy(8908)

Question 473646: bag contains 8 pink marbles, 5 green marbles and 10 brown marbles. What is the chance of drawing a pink marble? If a pink marble is drawn then placed back into the bag, and a second marble is drawn, what is the probability of drawing a green marble
Can you walk me through this please
Click here to see answer by Alan3354(30993)

Question 473649: A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting

• a three given the card is a not a face card.
• a four, given that the card is not a diamond.
• a Jack given the card is not a face card.

CAN SOME ONE HELP ME PLZZ
Click here to see answer by stanbon(57328)

Question 473669: The mean height of 5 students is 58. If one of the students leaves, the mean height becomes 56.75. What is the height of the absent student?
Click here to see answer by oberobic(2304)

Question 473689: In your own line of work, give one example of a discrete
and one example of a continuous random variable, and describe why each is continuous or discrete.
Thank you

Click here to see answer by Alan3354(30993)

Question 473697: The events A and B are mutually exclusive. If P(A) = 0.2 and P(B) = 0.6, what is P(A and B)?
Click here to see answer by stanbon(57328)

Question 473691: a hospital nursery has 20 newborn babies, of which 8 are male. Two of the babies are taken home by their parents. What is the probability that at least one of the two is male? Note: Since you have no further information, the answer is the same as though the two babies were selected at random.
a.127/190 b. 48/95 c. 5/8 d.94/95 e.62/95
can you explain how to get the answer please?
Click here to see answer by sudhanshu_kmr(1152)

Question 473645: A disc jockey has 10 songs to play. Four are slow songs, and six are fast songs. Each song is to be played only once. In how many ways can the disc jockey play the 10 songs if
• The songs can be played in any order.
• The first song must be a slow song and the last song must be a slow song.
• The first two songs must be fast songs
Please someone help me
Click here to see answer by sudhanshu_kmr(1152)

Question 473641: A survey of vegetable gardeners showed the following:

114 grew tomatoes 34 grew both tomatoes and cucumbers
44 grew cucumbers 41 grew both tomatoes and zucchini
54 grew zucchini 27 grew both cucumbers and zucchini
23 grew all three types 17 grew none of these three
Create a Venn diagram to reflect the above data, label your diagram clearly. Use your diagram to answer the following questions here.

(a) How many grew only tomatoes?
(b) How many grew both tomatoes and zucchini, but not cucumbers?
(c) How many grew only zucchini?
(d) How many grew none of these three or only cucumbers?
(e) How many vegetable gardeners were surveyed?
Click here to see answer by ewatrrr(10682)

Question 473684: Determine if this is an example of a variable or a parameter:
Caloric intake

Thank you

Click here to see answer by ewatrrr(10682)

Question 473686: Determine if this data is qualitative or quantitative:
Brown eyes
Thanks

Click here to see answer by ewatrrr(10682)

Question 473687: Determine if this study is experimental or observational:
Biologists restrict the amount of sunlight received by a group of plants to study the growth patterns over a period of 6 months.
Thank you

Click here to see answer by ewatrrr(10682)

Question 473705: A MOTHER AND FATHER AND THEIR FOUR CHILDREN SIT AT A LONG BREAKFAST TABLE. THE TABLE IS PLACED AGAINST THE WALL, WITH ONE CHAIR AT EACH END AND FOUR CHAIRS ALONG THE EXPOSED SIDE. HOW MANY WAYS CAN THE FAMILY BE ARRANGED IN SIX CHAIRS WITH THE PARENTS AT THE ENDS AND THE CHILDREN ALONG THE SIDE?
I understand this is probability however i'm not sure how to set it up, could someone show me how to set it up and work it out as well?

Click here to see answer by Theo(3460)

Question 473670: The following scores on the midterm exam in Chemistry 102 were recorded:
93 81 59 69 82 74 61 77 95 84 88 71 87 97 63 72 89 80 60 98 91 62 78 83 76 81 94 66 83 96
find 1st quartile, Q1
find 3rd quartile, Q3
Click here to see answer by ewatrrr(10682)

Question 473644: Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).
A. drawing the King of Hearts out of a standard 52 card deck given it’s a face card.
B. rolling a sum of 3 on two fair six sided dice
C. rolling a sum of 5 on two fair six sided dice
D. drawing a queen out of a standard 52 card deck given it’s a face card.
E. rolling a sum of 4 on two fair six sided dice
can some one help me
Click here to see answer by ewatrrr(10682)

Question 473577: An electronics store surveyed every 13th customer who came into the store for a week. Of the 180 people who responded.
74 people watched movies on VHS tapes.
123 people watched movies on DVDs
27 people watched movies both on VHS tapes and DVDs.
i. Of these surveyed, how many watched only VHS tapes?
ii. Of these surveyed, how many watched only DVDs?
iii. Of those surveyed, how many watched VHS tapes or DVDs, but not both?
iv. Of those surveyed, how many watched VHS tapes or DVDs, or both?
Create a VENN DIAGRAM to reflect the above data, label the diagram clearly. Use the diagram to answer the questions.
Click here to see answer by ewatrrr(10682)

Question 473580: A survey of vegetable gardeners showed the following:
114 grew tomatoes 34 grew both tomatoes and cucumbers
44 grew cucumbers 41 grew both tomatoes and zucchini
54 grew zucchini 27 grew both cucumbers and zucchini
23 grew all three types 17 grew none of the three types.
Create a VENN Diagram to reflect the above data,label the diagram clearly and answer the following questions in the diagram.
(a) How many grew only tomatoes?
(b) How many grew both tomatoes and zucchini, but not cucumbers?
(c) How many grew only zucchini?
(d) How many grew none of these three or only cucumbers?
(e) How many vegetable gardeners were surveyed?
Click here to see answer by ewatrrr(10682)

Question 473196: Three indistinguishable dice are rolled at the same time, and three numbers are noted(without regard to order.) how many different outcomes are possible? [ consider three cases: the numbers are all different; two of the numbers are the same and the other is different, and all three are equal]
a. 216
b. 41
c. 186
d. 56
e. 120
Click here to see answer by Edwin McCravy(8908)

Question 473850: Consider a die with eight sides, marked one, two, three, and so on. Assuming equally likely outcomes, find the probability that the sum of two dice is the given number. (Enter the answer either as a fraction or as a decimal rounded to three places.)
(a) P(2) =
(b) P(3) =
(c) P(8) =
(d) P(9) =
(e) P(14) =
(f) P(16) =

Click here to see answer by stanbon(57328)

Question 473889: I'm stuck, can someone help me. Thanks
A glass manufacturer finds that 1 in every 500 glass items purchased is warped.
Find the probability in parts (a)through(c)using the geometric distribution. If convenient use technology to find the probabilities
a)Find the probability that the first warped glass is the 11th produced
P(11)= round to the nearest thousandth as needed.
b)find the probability that the first warped glass item is the first,second, or third item produced.
P= (round to the nearest thousandth as needed.)
c)Find the probability that none of the first 10 glass items produced are defective
P= (round to the nearest thousandth as needd.)
Thanks
Click here to see answer by robertb(4012)

Question 473886: Another problem I need help with
In a recent year, the mean number of strokes per hole for a famous golfer was approximately 3.8.
Find the variance and standard deviation using the fact that the variance of a Poisson distribution is σ2=μ.
How likely is this golfer to play an 18-hole round have more than 72 strokes?
The variance is= (round to the nearest tenth as needed)
The Standard deviation is_________ Strokes. (round to the nearest then as needed.)
The probability of more than 72 strokes in an 18-hole is____(round to the nearest thousandth as needed)
Thank you.
Click here to see answer by robertb(4012)

Question 473880: Can someone help with this problem, I don't have a calculator:
43% 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 is a)exactly three, (b) at least four and (c) at most two. If convenient use technology to find the probabilities.
(a) P(3)= (round to the nearest thousandth as needed)
(b) P(x≥4)= (round to the nearest thousandth as needed)
(c) P(≤2)= (round to the nearest thousandth as needed)
Thank you!
Click here to see answer by jim_thompson5910(28593)

Question 473882: Your company has 30 trucks. 11 of them are defective. The inspectors are coming today to inspect, randomly four trucks. You will pass if they find at most one (zero or 1) of them defective. What is your probability of passing?
Click here to see answer by robertb(4012)

Question 473913: Help please!
The sample space of an experiment is
{A, B, C},
where P(A) + P(B) = 0.71, P(B) + P(C) = 0.41. Find P(A), P(B), and P(C).
P(A)=
P(B)=
P(C)=
Click here to see answer by robertb(4012)

Question 473883: A business has several telephone lines. Incoming calls have a Poisson distribution. They come in at the rate of 1 every 75 minutes during daytime hours. What is the probability, over the course of four daytime hours that the business receives:
(a) no calls
(b) exactly four calls
(c) exactly three calls: Show the Poisson formula and the substitution
__________________________________________________________________________
(d) at most five calls
(e) at least three calls
(f) between 3 and 7 calls, inclusive
Click here to see answer by robertb(4012)

Question 473929: Help!!!
A class has 17 boys and 10 girls. One student is selected. F is the event of selecting a girl, and K is the event of selecting Kate, one of the girls in the class. Determine
P(K | F)
and
P(F | K).
(to three decimal places.)
P(K | F)=
P(F | K)=
Click here to see answer by jim_thompson5910(28593)

Question 473933: Help please!
A survey of 100 college faculty shows that 67 own a car, 22 own a bicycle, and 11 own both. Find the probability that a faculty member chosen at random owns a car or a bicycle. (to two decimal places.)
Click here to see answer by jorel1380(2518)

Question 473930: Help!
A shipment of 11 televisions contains 4 regular and 7 deluxe models. The manufacturer failed to mark the model designation on the cartons. If 3 cartons are selected at random, what is the probability that exactly 2 of them are the deluxe model? (to three decimal places.)
Click here to see answer by ccs2011(207)

Question 473914: Can I please have some help with process?
There are 14 freshmen and 7 sophomores in a class. If three students are selected at random, find the probability that two are freshmen and one is a sophomore. (to three decimal places.)
Click here to see answer by Maths68(1474)

Question 473959: Four cards are drawn, without replacement, from a standard deck of fifty-two cards. Find the probability of these events.
a. Getting all four aces.
b. Getting a two, three, four, five in order.
c. Getting a heart, club, diamond and spade in order.
d. Getting four hearts.
Click here to see answer by stanbon(57328)

Question 474079: A sample of adults is selected. The adults are classified according to their voter registration status and their preferred source of current events information. The results are given in the contingency table below.
Preferred source of information
Television Newspapers Radio Internet sites
Voting registration status Registered 28 30 24 22
Not registered 45 26 38 37
What is the relative frequency of adults in the sample who prefer to obtain their information through newspapers?
Round your answer to at least two decimals places.

Click here to see answer by edjones(7569)

Question 474106: A manufacturer of window frames knows from long experience that 5 percent of the production will have some type of minor defect that will require an adjustment. What is the probability that in a sample of 20 window frames:
a. None will need adjustment?
b. At least one will need adjustment?
c. More than two will need adjustment?

Click here to see answer by edjones(7569)

Question 474149: For a normally distributed population, mean of 6.5 and standard
deviation of 4, compute:

a. The probability of picking one item from the population and having it fall between 6.5 and 14.5

Click here to see answer by stanbon(57328)

Question 474143: What is the rule for probabilities with a deck of cards? Are there specific rules for getting "At most" 1 diamond or "At least" one king?

Click here to see answer by stanbon(57328)

Question 474152: John and Bill each roll a die, and the two dice are compared to see if both numbers match. If they do this twice, what is the probability that both times they fail to get a match.
A. 1/3
B.11/36
C. 1/36
D. 25/36
E. 1/6
Please show me how to set it up and explain why its done this way.
Click here to see answer by edjones(7569)

Question 474158: Two cards are drawn from a standard deck of 52 where the first card is NOT replaced before the second card is drawn. Find the probability that both cards are face cards (jack, queen, or king).
a. 9/2704
b. 9/676
c. 11/221
d. 9/169
Pick a card from a deck of cards, keep it and select a second card. If Event A is the selection of the first card and Event B is the selection of the second card, Events A and B are:
a. dependent
b. independent
c. neither dependent nor independent

Click here to see answer by edjones(7569)

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