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

Algebra ->  Algebra  -> Probability-and-statistics -> Questions on Algebra: Probability and statistics answered by real tutors!      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 447346: How do I solve this problem? Directions: Find the number of possiable 5-card hands that contain the cards specified. The cards are taken from a standard 52- card deck. Problem: 1 ace and 4 cards that are not aces. Click here to see answer by stanbon(57424)

 Question 447361: Military radar and missile detection system are designed to warn a country of an enemy attack. A reliability question is whether a detection system will be able to identify an attack and issue a warning. Assume that a particular detection system has a .90 probability of detecting a missile attack. a. What is the probability that single detection system will detect the attack? b. If two detection systems are installed in the same area and operating independently, what is the probability that at least one of the systems will detect the attack? c. If three systems are installed, what is the probability that at least one of the systems will detect the attack? d. Would you recommend the multiple detection systems be used? Explain. Click here to see answer by sudhanshu_kmr(1152)

 Question 447449: A professor gives a 15 question MCQ quiz. For each question in the quiz, there are five choices out of which only one is correct. The professor wants to limit the probability of passing a student who guesses on every question to below 0.05. What is the lowest passing grade (number of questions correctly answered out of 15), the professor can use for the quiz? (*please include workings, thanks!) (A) 8 (B) 6 (C) 7 (D) 5 (E) None of the above Click here to see answer by stanbon(57424)

 Question 447436: there is a test with 10 questions. All questions are independent from each other. if you are a good studen, for each question there is 80% chance that you will asnwer correctly. what is the probability that you will answer less than 6 correct Click here to see answer by stanbon(57424)

 Question 447475: the sum of two number is 8, and the sum of their squares is 34. what is the smaller number Click here to see answer by Edwin McCravy(8924)

 Question 447415: There are 12 red checkers and 3 black checkers in a bag. Checkers are selected one at a time, with replacement. Each time, the color of the checker is recorded. Find the probability of selecting a red checker exactly 7 times in 10 selections. Show your work. Click here to see answer by stanbon(57424)

 Question 447546: 6. A die is rolled and then 2 coins are flipped. What is the probability that the coins both land heads and the die shows a 5 or 6? Click here to see answer by sudhanshu_kmr(1152)

 Question 447561: Joe has 9 paintings that he wants to put next to each other on the wall of art gallery before the opening of an exhibit. The opening is in 7 days and he would like to look at all possible arrangements on the wall to decide which one looks best for the exhibit. If it takes him one minute to arrange the paintings, (a) how long will it take him to look at all possible arrangements? (b) does he have enough time before the exhibit? Click here to see answer by sudhanshu_kmr(1152)

 Question 447602: a real estate agent believes that the average closing cost of purchasing a new home is \$6500 over the purchase price . She selects 40 new home sales at random and finds that the average closing costs are \$6600. the standard deviation of the population is \$120. Test her belief at a=0.05 please help Click here to see answer by stanbon(57424)

 Question 447603: In a new york modeling agency, a research wishes to see if the average height of female models is really less than 67 inches,as the chief claims. a sample of 20 models has an average height of 65.8 inches. the standard deviation of the sample is 1.7 inches. at a=0.05,is the average height of the models really less than 67 inches? use the p-value method . Click here to see answer by stanbon(57424)

 Question 447611: Hi first time using this so hope i do this right! Question: A nationall administered test has a mean of 500 and a standard deviation of 100. If your standard score is 1.8, what was your test score? Click here to see answer by Edwin McCravy(8924)

 Question 447690: You are dealt 3 cards from a standard deck of 52. Find the probabaility that all the cards are aces. I need to show my work using a tree diagram Click here to see answer by stanbon(57424)

 Question 447790: assume that the length of a typical televised baseball game, including all the commercials timeouts, is normally distributed with mean 2.45 hours and standard deviation 0.37 hours. Consider a televised baseball game that begins at 2;00 in the afternoon. The next regularly sheduled broadcast is at 5;00. a. what is the probability that the game will cut into the next show, that is , go past 5;00. b. If the game is over before 4:30, another half hour show can be inserted into the 4:30-5:00 slot. What is the probability of this occuring? Click here to see answer by stanbon(57424)

 Question 447787: sam took a 15-question true-false quiz. If he randomly guesses on each question, what is the probability that sam will get 10 out of 15 questions correct? express the answer as a percent. A.) 0.003% B.) 0.1% C.) 3.2% D.) 9.2% Click here to see answer by stanbon(57424)

 Question 447757: 2 questions that my daughter and I have been trying to answer: 1) find the number of possible 5-card hands that contain the cards specified: 3 of one kind (kings, queens and so on) and 2 of a different kind. 2) find the number of possible 3-card hands that contain: 3 of one kind (kings queens and so on) Thank you so much! Click here to see answer by stanbon(57424)

 Question 447730: a bin contains 7 red cards,9green cards 3 yellow cards and 6 blue cards .find the probability of selecting 3 green cards one at a time without replacement evaluate this expression 17p4 Click here to see answer by stanbon(57424)

 Question 447823: The average college student's tuition in Arizona is \$8000 per year with a standard deviation of \$450. What is the probability that 81 Arizona students selected at random will have an average tuition greater than \$8100? Thank you! Click here to see answer by stanbon(57424)

 Question 447837: How would I solve a question such as: There are 8 women and 6 men in a department. a) how many ways can a committee of 3 be selected and b) how many ways can a committee be selected if there must be 3 men and 3 women on the committee? Click here to see answer by edjones(7569)

 Question 447873: A set of data has mean 66 and standard deviation 7. Find the z-score of the value 32 Click here to see answer by robertb(4012)

 Question 447890: What is the probability of having a 13- card bridge hand consisting of 4 aces, 4 kings, 4 queens, and 1 jack Click here to see answer by edjones(7569)

 Question 447888: the probability of choosing 3 men and 2 women from a group of 8 men and 6 women Click here to see answer by edjones(7569)

 Question 447930: Assume that a password to log onto a computer account is to consist of 2 letters and 2 digits, Determine the number of possible in the case that repetition is permitted as well as not permitted. Click here to see answer by sudhanshu_kmr(1152)

 Question 447955: How many three-digit numbers can be formed using the digits 1,2,3,4,5,6, and 7 if no digit can be repeated in a number? Click here to see answer by ewatrrr(10682)

 Question 447999: a cooler contains 10 sodas. 4 Colas, 5 orange, and 1 cherry. Two are selected at random without replacement. what is the probability that at least one can is cola? Click here to see answer by Edwin McCravy(8924)
 Question 447999: a cooler contains 10 sodas. 4 Colas, 5 orange, and 1 cherry. Two are selected at random without replacement. what is the probability that at least one can is cola? Click here to see answer by rwm(914)

 Question 448009: A friend hides 12 yellow eggs and 16 purple eggs for you to find in an egg hunt. What is P(yellow) for the first egg you find? A. B. C. D. Click here to see answer by solver91311(16897)

 Question 448034: suppose a fair coin is tossed twice. Find the probability of getting exactly one head is? Click here to see answer by solver91311(16897)

 Question 448032: if the probability of a child being a girl is 1/2, and a family plans to have 4 children, what are the odds aganist having all girls? Click here to see answer by htmentor(789)

 Question 448013: A doctor is using a method of treatment that is thought to be 94% successful. What is the probability that there are no failures in 15 treatments (round to the nearest hundredth Click here to see answer by sudhanshu_kmr(1152)

 Question 448054: A local tire store suspects that the mean life of a new discount tire is less than 39,000 miles. The store selects randomly 18 of these new discount tires to test the claim. When the tires are tested, it is found that the mean life is 38,250 miles, with a sample standard deviation of 1,200 miles. Assume the distribution is normally distributed. Using alpha () = 0.05, test the company's claim that the mean life is less than 39,000 miles. ( H0: Ha: Test Statistic (t): Critical t0: Decision: Interpretation: Using alpha () = 0.01, test the company's claim that the mean life is less than 39,000 miles. (References: example 1 though 5 pages 397 - 401, end of section exercises 23 – 28 pages 404 - 405) (6 points) H0: Ha: Test Statistic (t): Critical t0: Decision: Interpretation Click here to see answer by stanbon(57424)

 Question 448030: if the probability of a child being a girl is 1/2, and a family plans to have 4 children, what are the odds aganist having all girls? The odds are__to__ Click here to see answer by jim_thompson5910(28598)

 Question 448119: How three letter words can can be made rearranging the word 'humuhumunukunukuapuaa' (21-letter word)? Click here to see answer by stanbon(57424)

 Question 448080: Hi Below are the home states of 21 college professors. New Jersey Ohio Michigan South Carolina Nebraska South Carolina Ohio South Carolina Pennsylvania Michigan Georgia New Jersey Wisconsin Georgia Ohio Florida Georgia New Jersey South Carolina Wisconsin Pennsylvania i. Make a frequency table using these 9 states: Florida Georgia Michigan Nebraska New Jersey Ohio Pennsylvania South Carolina Wisconsin ii. What is (are) the mode(s)? iii. Does it make sense to talk about the average for this data? Why or why not? iv. Using your frequency table draw a pie chart to display the distribution of home states by filling in the following table: Home State Frequency Percentage of Measure of Central total Angle (in degrees) Florida Georgia Michigan Nebraska New Jersey Ohio Pennsylvania South Carolina Wisconsin Click here to see answer by jim_thompson5910(28598)

 Question 448274: the following stem and leaf diagram represents the number of wins for each of the nfl teams in recent year. key: 1|0 = 10 0|4444555555666777889 1|0000001222234 first quartile_____ median____ third quartile_____ Click here to see answer by jim_thompson5910(28598)

 Question 448320: Tom has 4 male kittens and 7 female kittens. He wants to give two of them to his friend. What is the probability that both will be male? Click here to see answer by jim_thompson5910(28598)

 Question 448325: suppose we toss a fair coin eight times.determine the following probabilities for a binomial distribution with parameters n=8 and p=.5: a.) the probability that excatly two of the eight tosses result in heads. b) the probability that at most two of the eight tosses result in heads. c) the probability that excatly five of the eight tosses result in heads. d) the probability that at least two of the eight tosses result in heads. Click here to see answer by stanbon(57424)

 Question 448182: How many ways can sherri select 5 addresses from a list of 20 addresses. Click here to see answer by stanbon(57424)

 Question 448418: I am having trouble determining an effective way of calculating probability of certain scores given a variable scoring system Say you roll 6 standard dice that has a scoring system of the following for whichever numbers you roll: roll a 1 - 1 point each roll a 2 - 2 points each roll a 3 - 3 points each IFF there are no 4s present, otherwise zero roll a 4 - 4 points each IFF there are no 3s present, otherwise zero ex: rolling four 3s, one 2, and one 4 will give you a total of 2. Since there were both 3s and 4s, you cannot earn points for them. Therefore you only earned points for the 2. roll a 5 - value increases per number of 5s rolled ex: roll one 5 - 1 point roll two 5s - 2 points each roll three 5s - 3 points each, and so on... roll a 6 - negative 2 points each I decided to ask the question: What is the probability of rolling all 6 dice and getting a negative score? Although a full solution would be terrific, I am simply looking for some insight as to how you can incorporate a scoring system into some sort of equation. If anything is unclear please post a reply. Thanks in advance! Click here to see answer by edjones(7569)

 Question 448410: P(a card of 6 or less) Click here to see answer by edjones(7569)

 Question 448468: Student test grades were normally distributed, and grades between 62 and 86 were within three standard deviations of the mean. Find the mean and the standard deviation of the set of grades. Click here to see answer by ewatrrr(10682)

 Question 448466: pico blox has bookmarked 12 favorite websites on his computer. if he has time to visit five of them, how many different selections are possible? Click here to see answer by ewatrrr(10682)

 Question 448465: how many different 6- player starting squads can be formed from a volleyball team of 11 players? Click here to see answer by ewatrrr(10682)

 Question 448464: how many different 5-card hands can be dealt from a standard deck of 52 cards? Click here to see answer by ewatrrr(10682)

 Question 448467: The scores on a standardized college entrance examination are found to be normally distributed. The mean is 85 and the standard deviation is 11. What percent scored between 85 and 107? Click here to see answer by ewatrrr(10682)

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