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

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

Question 535145: Suppose 200 misprints ar distributed randomly throughout a book of 600 pages. Find the probability that a given page contains.
(a) exactly two misprints
(b) two or more misprints
Click here to see answer by SwiftAlbatross(13)

Question 535295: Suppose you have 6 types of cereal. If you eat a bowl of cereal every morning for breakfast, how many ways can you eat breakfast in the next 4 days?
Click here to see answer by stanbon(75887)

Question 535579: The question is: You have 9 male and 7 females to choose from to form a team of 6. What is the probability of choosing either all males, or all females.
I think I should use nPr formula, but the given answer in the tutorial was 14/(p)*(d)
If I use nPr, I get:
P = 0.01049 for all male
P = 0.000874 for all female
Click here to see answer by fcabanski(1391)

Question 535674: In a family with two children, find the probability of both being boys

Click here to see answer by fcabanski(1391)

Question 535839: Suppose you roll a 9-sided die one trillion times. What proportion of the rolls should you expect to be 1's?
Click here to see answer by richard1234(7193)

Question 535841: How do I set this up(not on the calculation):
Hospital records show that of patients suffering from a certain disease, 75% die of it. What is the probability that of 6 randomly selected patients, 4 will recover?
Click here to see answer by solver91311(24713)

Question 535907: In hypothesis testing, as the α level gets smaller, the level of confidence increases. T or F, and why or why not?
Click here to see answer by oberobic(2304)

Question 535942: there are 19 students in a fraternity. how many ways can a committee of 7 students be selected
Click here to see answer by edjones(8007)

Question 536004: find the probability the card is a king given that card is rsd
Click here to see answer by fcabanski(1391)

Question 536105: . If you have flipped the coin 10 times and gotten heads each time, what's the probability that the next flip will come up tails? (given that there is nothing wrong with the coin)
Click here to see answer by richard1234(7193)

Question 536195: What are the odds of getting a five and a jack out of a deck of 52 cards?
I thought it was 8/52 but that was wrong.
Click here to see answer by Alan3354(69443)

Question 536195: What are the odds of getting a five and a jack out of a deck of 52 cards?
I thought it was 8/52 but that was wrong.
Click here to see answer by scott8148(6628)

Question 536195: What are the odds of getting a five and a jack out of a deck of 52 cards?
I thought it was 8/52 but that was wrong.
Click here to see answer by oberobic(2304)

Question 536184: I dont know what to do!
At the Stop 'n Go tune-up and brake shop, the manager has found that an SUV will require a tune-up with a probability of 0.6, a brake job with a probability of 0.1 and both with a probability of 0.02. What is the probability that an SUV requires neither type of repair?
Click here to see answer by Earlsdon(6294)

Question 536349: Claim: heights of a new variety of corn vary less than those of an older variety. The standard deviation of heights for the population of the old corn variety is 3.5 inches and the population has a normal distribution. A simple random sample of new corn variety provides the following data: n = 36, s = 1.2.
I have to identify null hypothesis, the alternative hypothesis, and identify the sampling distriubtion of the test statistic (normal, t, chi-square).
Any help would be greatly appeciated!
-SS
Click here to see answer by stanbon(75887)

Question 536358: Hi -
Claim: The standard deviation is greater than 5.2 lbs. When a simple random sample of 21 items is taken from a normally distributed population, s - 6.8 lbs.
I have to identify the null and alternative hypothesis, identify the sampling distribution (normal, t, chi-square) of the test statistic.
Thanks! Happy Thanksgiving!
-SS
Click here to see answer by stanbon(75887)

Question 536397: I need help on this problem
There is about an 80% chance that a 20 year old today will be alive at the age of 65. Suppose five 20 year olds were selected at random. What are the following probabilities?
a) P(exactly 3 will be alive at 65)
b) P(at least 3 will be alive at 65)
c) P(at most 2 will be alive at 65)
Thank you
Click here to see answer by fcabanski(1391)

Question 536354: Suppose you roll a 12-sided die one trillion times. What proportion of the rolls should you expect to be "1's"?
Click here to see answer by Edwin McCravy(20054)

Question 536428: If there are five multiple choice questions, each with four possible answers what is the probability of...
1) getting none of them correct?
2) getting all of the questions correct?
3) getting at least one of the questions wrong?
4) getting your first incorrect answer on the fourth question?
Click here to see answer by edjones(8007)

Question 536421: A lottery ticket pays out $6 with probability 0.003 and $600 with probability 0.00055. How much money will the average ticket pay?
Click here to see answer by edjones(8007)

Question 536413: A red number cube and a green number cube are rolled together.
what is the probability that...
the red cube shows a 3 and the green cube shows a 5.
the red cube shows a prime number OR the green cube shows a 2.
the sum of the numbers rolled is 1.
the sum of the numbers rolled is 7 OR 11.
the sum of the numbers rolled is less than a OR equal to 10.
Click here to see answer by edjones(8007)

Question 536047: Please help me answer this question!
You have a bag containing 3 green marbles, 4 red marbles, and 2 yellow marbles. You select 1 marble randomly. What are the odds against selecting a green or yellow marble?
I tried adding them up and they came to 9. Are the odds against selecting a green or yellow marble mean that you're not going to pick them?
Thank you so much!

Click here to see answer by sudhanshu_kmr(1152)

Question 536768: Consider a game in which you roll a pair of dice. Suppose you are paid $7.20 if you roll a pair and nothing otherwise.
If you are asked to pay $1 to play this game, is it a fair game? If it is not fair, is it unfair to your benefit or detriment? Explain your choice. Develop a tree diagram for tossing two, eight-sided gaming dice to figure out how many possibilities there are. Discuss the purpose of using such a visual in working out probability.
Click here to see answer by Edwin McCravy(20054)

Question 536742: 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.
P(4)=
P(7)=
P(15)=
I'm thinking that the sum(4) of two die will be 1+3, and 2+2. So that's only two out comes for a 4. But how do yo find the # of possibilities?
Click here to see answer by scott8148(6628)

Question 536931: Every week, Emily and Jacod each write one story for an online magazine. Emily is paid 200 dollars plus 5% of the advertising revenue for her story. Jacob is paid 150 dollars plus 10% of the advertising revenue for his story. If they both generated the same amount of advertising revenue, and received equal paychecks for the week, how much in dollars was each paid?
Click here to see answer by fcabanski(1391)

Question 536921: I am not sure how to solve this problem. I'd appreciate the help, thank you!!
"A scoring possibility in a game of Yahtzee with five 6-sided dice is called a "three of a kind," where three numbers are the same and the remaining two numbers are both different (eg: 5 5 5 1 4 or 2 5 2 3 2). Find the probability of rolling a three of a kind.
Click here to see answer by stanbon(75887)

Question 536917: I'd appreciate some help with this problem. It is too complex for me to even begin to understand, thank you in advance!!
"In a class of 36 students, what is the probability that at least 2 people have the same birthday? Assume that there are 365 days in a calendar year. *
Click here to see answer by stanbon(75887)

Question 536908: Claim: The proportion of brown M&Ms more than 22%. A simple random sample of 150 M&Ms contains 26% brown.
I have to identify the null and alternative hypothesis and identify the sampling distribution (normal, t, chi-square) of the test statistic or state that none of the sampling distributions would work.
I am stuck on this simple question and not sure why so any help would be great.
Thanks.
SS
Click here to see answer by stanbon(75887)

Question 536999: The following data lists the average monthly snowfall for January in 15 cities around the US:27 30 30 30 24 21 15 239 35 42 1 1 41 38Find the mean, variance, and standard deviation. Please show all of your work.

PLEASE PLEASE HELP :/
Click here to see answer by KMST(5328)

Question 537116: On hot, sunny, summer days Jane rents inner tubes by the river that runs through her town. Based on her past experience, she has assigned the following probabilities to the number of tubes she will rent on a randomly selected day.

X 25 50 75 100 Total

P(x) 0.20 0.40 0.30 0.10 1.00
Based on this data, what is the daily average number of tubes she will rent?

Click here to see answer by stanbon(75887)

Question 537110: The number of patients needing a bed at any point in time in the pediatrics unit of a hospital is . Find the middle 50% of the number of beds needed (you may consider fractions of beds).
Click here to see answer by stanbon(75887)

Question 537108: Determine the mean and standard deviation of three-digit uniformly distributed lottery numbers.
Click here to see answer by stanbon(75887)

Question 537121: the probability that a network will be shut down on any given day is .0003. What is the probability that the network will be shut down in 5000 days.
Click here to see answer by stanbon(75887)

Question 537120: what is the probability of getting 6 tails in 10 trials of tossing a coin? need to solve using the approximation methoed and the binomial distribution
Click here to see answer by stanbon(75887)

Question 537060: Suppose 50 tickets are being sold for a raffle to win 2 seperate prizes. What is the probability of someone buying 2 tickets and winning both prizes?
Click here to see answer by stanbon(75887)

Question 537141: What is the probability that you can draw two aces out of a deck of 52 cards? Drawing only two cards?
Click here to see answer by stanbon(75887)

Question 537196: Hi, -
Claim: the population mean is greater than 948. Sample data: n = 100, x-bar = 972, s = 10.8. The data was taken from a simple random sample collected from a population with a standard distribution that appears to be far from normal, where standard deviation is unknown.
I need to identify the null and alternative hypothesis and identify the sampling distribution (normal, t, chi-square) of the test statistic.
Would Ho: = 948 and H1: > 948 be the correct hypothesis?
Thanks!
-SS

Click here to see answer by stanbon(75887)

Question 537195: Hi,
Claim: The population mean is 425. Sample data: n = 18, x bar = 438, s = 21.3. The data was taken from a simple random sample collected from a normally distributed population with a population standard deviation of 18.4.
I need to state the null and alternative hypothesis (I currently have Ho: p = 425 and H1: p > 425) and then state the sampling distribution of the test statistic (normal, t, or chi-square). I have a normal distribution. Am I correct?
Any help would be great!
-SS

Click here to see answer by stanbon(75887)

Question 537176: A particular type of spring is manufactured by one of the two machines, A or B: 60% of the springs are made by machine A and the remainder by machine B. Of the springs manufactured, 3% are defective in some way, regardless of which machine made them. Find
a) the probability that a spring chosen at random is manufactured by machine A and is defective;
b) the probability that a spring chosen at random is manufactured by machine A or is defective.
c) Use a tree diagram as a relevant technique, to find the solution
Click here to see answer by stanbon(75887)

Question 537203: You are to take a multiple-choice exam consisting of 100 questions with 5 possible responses to each question. Suppose that you have not studied and so must guess (select one of the five answers in a completely random fashion) on each question. Let x represent the number of correct responses on the test.
a) what kind of probability does x have?
b) What is your expected score on the exam?
c) Compare the variance and standard deviation of x.
d) based on your answers to parts b and c, is it likely that you would score over 50 on this exam? explain your reasoning behind your answer
Click here to see answer by stanbon(75887)

Question 537484: A cookie company has 34 varieties of cookies. They decide to make sample boxes with 6 different cookies each. How many different sample boxes could they make
Click here to see answer by stanbon(75887)

Question 537493: The odds against Dr Thomas winning the school golf tournament are 5:2. What is the probability of Thomas winning
Click here to see answer by stanbon(75887)

Question 537506: 1. What percentage of the area of the standard normal distribution is between z=-1.00 and z=+1.00? How do you know this?
2. Find the z-score for the standard normal distribution where:
Area is about equal to 0.95 to the left of z.
Click here to see answer by stanbon(75887)

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, 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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, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 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36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580, 41581..41625, 41626..41670, 41671..41715, 41716..41760, 41761..41805, 41806..41850, 41851..41895, 41896..41940, 41941..41985, 41986..42030, 42031..42075, 42076..42120, 42121..42165, 42166..42210, 42211..42255, 42256..42300, 42301..42345, 42346..42390, 42391..42435, 42436..42480, 42481..42525, 42526..42570, 42571..42615, 42616..42660, 42661..42705, 42706..42750, 42751..42795, 42796..42840, 42841..42885, 42886..42930, 42931..42975, 42976..43020, 43021..43065, 43066..43110, 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46306..46350, 46351..46395, 46396..46440, 46441..46485, 46486..46530, 46531..46575, 46576..46620, 46621..46665, 46666..46710, 46711..46755, 46756..46800, 46801..46845, 46846..46890, 46891..46935, 46936..46980, 46981..47025, 47026..47070, 47071..47115, 47116..47160, 47161..47205, 47206..47250, 47251..47295, 47296..47340, 47341..47385, 47386..47430, 47431..47475, 47476..47520, 47521..47565, 47566..47610, 47611..47655, 47656..47700, 47701..47745, 47746..47790, 47791..47835, 47836..47880, 47881..47925, 47926..47970, 47971..48015, 48016..48060, 48061..48105, 48106..48150, 48151..48195, 48196..48240, 48241..48285, 48286..48330, 48331..48375, 48376..48420, 48421..48465, 48466..48510, 48511..48555, 48556..48600, 48601..48645, 48646..48690, 48691..48735, 48736..48780, 48781..48825, 48826..48870, 48871..48915, 48916..48960, 48961..49005, 49006..49050, 49051..49095, 49096..49140, 49141..49185, 49186..49230, 49231..49275, 49276..49320, 49321..49365, 49366..49410, 49411..49455, 49456..49500, 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