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

Question 1179877: The probability of a plane flight being on time is 80%. Out of ten flights, what is the probability that at least seven flights will be on time? Explain your answer.
Click here to see answer by ikleyn(52754)

Question 1180018: A person is playing hopscotch. She lets the flip of a coin determine whether she's moving forwards, or backward. If she flips a head, she moves 1 step forward, and if she flips a tail, she moves 1 step backward. What is the probability that after 4 coin tosses, she will be in the same place?
Click here to see answer by ikleyn(52754)

Question 1180029: 1 How many ways may 4cards be drawn randomnly from a deck of 52 cards?
2.How many ways may 5 students be elected from a club with 45 memebers?
3. How many ways may 5 students be seated in a row of 5 chairs fior a pictorial?
4 Hoq many ways can 4 officers in Grade 8 class be elected mong 23 students?
Thank you in advance 😊
Click here to see answer by ikleyn(52754)

Question 1180035: Are you rich or has go to llamas only 400 acre ranch each
Click here to see answer by josgarithmetic(39613)

Question 1180035: Are you rich or has go to llamas only 400 acre ranch each
Click here to see answer by ikleyn(52754)

Question 1180031: If you draw one card from a standard deck of cards, what is the probability of drawing
a. a 10 or a diamond
b. a face card or an ace

Click here to see answer by MathLover1(20849)

Question 1180030: If you draw one card from a standard deck pf cards, what is the probability of drawing
a. a 10 or a diamond
b. a face card or an ace

Click here to see answer by ikleyn(52754)

Question 1180028: In math class with 28 students, a test was given the same day that an assignment was due there were 17 students who passed the test and 19 students who completed the assignment there were 15 students who passed the test and also completed the assignment what is the probability that a student passed the test given that they completed the homework
Click here to see answer by ikleyn(52754)

Question 1180017: A company installs light bulbs, each with an average life of 7000 hours, standard deviation of 796 hours, and distribution approximated by a normal curve. Find the percentage of the bulbs that can be expected to last more than 8500hours? Round to the hundredth if necessary
Click here to see answer by Theo(13342)

Question 1180093: Encuentre P(4,3)
Click here to see answer by MathLover1(20849)

Question 1180098: A poll is given, showing 60% are in favor of a new building project.
If 5 people are chosen at random, what is the probability that exactly 3 of them favor the new building project?
Click here to see answer by ikleyn(52754)

Question 1180096: Each day the probability that it will rain on a tropical island is seven out of eight days. What is the probability that it will rain exactly 6 out of eight days on the tropical island in question?

Click here to see answer by ikleyn(52754)

Question 1180084: Express the confidence interval
18.3
%
±
7.3
%
in the form of a trilinear inequality.
please and thank you Ive tried millions of ways for help
Click here to see answer by Theo(13342)

Question 1180115: what is the likelihood function ?
Click here to see answer by ikleyn(52754)

Question 1180092: A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience is 130. What is the theoretical probability of 3 students from your school being selected as contested out of 9 possible contestant spots?
Click here to see answer by Boreal(15235)

Question 1180060: It is estimated that 60% of the candidates who took an aptitude test passed. If 800 of such candidates are selected and the selection follows a normal approximation, find the probability that;
I. Between 450 and 500
II. Not less than 510
III. Not more than 515 of the candidate passed the test.
Click here to see answer by Boreal(15235)

Question 1180058: The time to microwave a bag of popcorn using the automatic setting can be treated as a random variable having a normal distribution standard deviation 10 secohds. If the probability is 0.8212 that the bag will take less than 282.5 seconds to pop, find the probability that it will take longer than 258.3 seconds to pop.
Click here to see answer by Boreal(15235)

Question 1179931: Five hundred children participated in a field demonstration. Their heights
averaged 110 cm with a standard deviation of 6 cm.
a. What is the probability that a child, picked at random, has a height
greater than 116 cm?
b. What is the probability that the height of a child, picked at random, is
less than 104 cm?
c. How many children belong to the upper 15% of the group?
Click here to see answer by Boreal(15235)

Question 1179902: If you draw one card from a standard deck of cards, what is the probability of drawing
a. a 10 or a diamond
b. a face card or an ace

Click here to see answer by Boreal(15235)

Question 1180057: The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 10 Southwest flights and observing whether they arrive on time.
(a) Find the probability that exactly 3 flights arrive late .
Click here to see answer by Boreal(15235)

Question 1179880: You went bowling in two leagues. In the first league the mean bowling score is 167 with a standard deviation of 44. In the second league the mean score is 180 with a standard deviation of 35. If you bowl a game of 201 in both leagues in which league is this score the best in comparison to the other bowlers? Explain why.
Click here to see answer by Boreal(15235)

Question 1179868: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading less than 0.987°C.
Click here to see answer by Boreal(15235)

Question 1179847: Given the Confidence Interval, find the Point Estimate
(75.6, 86.9)

Click here to see answer by Boreal(15235)

Question 1179849: Given the Confidence Interval, find the Point Estimate
(65.0 , 81.6)

Click here to see answer by Boreal(15235)

Question 1179851: A standardized test has a mean score of 55 with a standard deviation of 12. Using the Empirical Rule, determine the range of scores for the:
A. Middle 68% of the population
B.Middle 95% of the population
Explain and show work.
Click here to see answer by Boreal(15235)

Question 1180125: Two dice are tossed 288 times. How many times would you expect to get a sum of 4?
Click here to see answer by mananth(16946)

Question 1180127: Trees planted by a landscaping firm have a 90% one-year survival rate, If they plant 15 trees in a park, what is the following probabilities:
1. All the trees survive one year
2. At least 13 trees survive one year
Click here to see answer by ikleyn(52754)

Question 1180059: Number of Ripe
Mangoes (Values of R)
Number of Occurrence
(Frequency)
Probability
P(R))
3 1
2 3
1 3
0 1
Total 8
Click here to see answer by ikleyn(52754)

Question 1180146: Stef has a four-sided die (a tetrahedron) and a standard six-sided die. She tosses both dice and adds the values.
How many possible outcomes are there?
Thanks!
Click here to see answer by greenestamps(13195)

Question 1180145: Assume the probability is 1/2 that a child born at any time is a boy and births are independent. What is the probability of the event that if a family has 5 children (no twins), none of them are boys. I am stressing out here. I think I am overthinking these word problems.
Click here to see answer by greenestamps(13195)

Question 1180144: An executive committee consists of 11 members: 6 men and 5 women. 4 members are selected at random to attend a meeting in Hawaii. The names are drawn from a hat. What is the probability that all 4 selected are women? I keep getting confused. Thank you for your help.
Click here to see answer by greenestamps(13195)

Question 1180143: An electric clock is stopped by a power failure. What is the probability that the second hand is stopped between the 7 and the 11? I am overthinking this and need a little guidance and help, please.
Click here to see answer by greenestamps(13195)

Question 1180142: a penny, a nickel, a dime, and a quarter are tossed. What is the probability of obtaining exactly one head on the tosses? Thank you in advance. I have 15/16 but I think that is wrong.
Click here to see answer by greenestamps(13195)

Question 1180162: Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches.
A.)0.2881
B.)0.0082
C.)0.8989
D.)0.9918
Click here to see answer by ewatrrr(24785)

Question 1180151: Suppose the scores in statistics exam are normally distributed. If the exam has a mean score of 25 and a standard deviation of 5,what is the probability that if you take the exam you will get a score higher than 32, points?
Click here to see answer by ewatrrr(24785)

Question 1180152: A brisk walk at 5 miles per hour,burns an average of 250 calories per hour. If the standard deviation of the distribution is 10 calories.Assume the variable to be normally distributed.
Find the probability that a person who walks one hour at rate of 5 mile per hour will burn the following calories.
1. Between 245 and 255 calories
2. Less than 263 calories
3. Less than 248 calories
4. More than 238 calories
5. More than 272 calories
Click here to see answer by ewatrrr(24785)

Question 1180150: The average time a person spends in a library is 30 minutes.The standard deviation is 6 minutes.if a visitor is selected at random.Assume the variable to be normally distributed.
a. What is the probability that he/she spends between 25 and 35 minutes?
b. What is the probability that he/she spends at most 40 minutes?
c. What is the probability that he/she spends at least 35 minutes?
Click here to see answer by ewatrrr(24785)

Question 1180188: If quinn tosses a fair coin and then rolls a fair number cube labeled 1 through 6, what is the probability of tossing heads followed by rolling a number less than 3

Click here to see answer by Edwin McCravy(20054)

Question 1180190: The mean annual tuition and fees for a sample of 8 private colleges was with a standard deviation of . A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from .
Compute the value of the test statistic and state the number of degrees of freedom.
Click here to see answer by Boreal(15235)

Question 1180191: A die is rolled twice. What is the probability of showing a 5 on both rolls?
Click here to see answer by MathLover1(20849)

Question 1180191: A die is rolled twice. What is the probability of showing a 5 on both rolls?
Click here to see answer by math_helper(2461)

Question 1180195: Suppose that a brand of lightbulb lasts on average 2243 hours with a standard deviation of 199 hours. Assume the life of the lightbulb is normally distributed. Calculate the probability that a particular bulb will last from 1797 to 2406 hours?
P(1797 < X < 2406) =

Enter your answer as a number accurate to 4 decimal places.
*Note: all z-scores must be rounded to the nearest hundredth.
Click here to see answer by Boreal(15235)

Question 1180198: A distribution of values is normal with a mean of 205.9 and a standard deviation of 51.9.
Find P15, which is the score separating the bottom 15% from the top 85%.

Enter your answer as a number accurate to 4 decimal places.

Click here to see answer by Boreal(15235)

Question 1180161: If the NCAA has applications from 6 universities for hosting its intercollegiate tennis championships in 2008 and 2009, how many ways may they select the host for these championships?
A. If they are not both to be held at the same university?
B. If they may both be held at the same university?
Click here to see answer by ewatrrr(24785)

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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, 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, 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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, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 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, 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