Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1200401: Gianna buys a bag of cookies that contains 5 chocolate chip cookies, 9 peanut butter cookies, 4 sugar cookies and 6 oatmeal cookies.
What is the probability that Gianna reaches in the bag and randomly selects 2 sugar cookies from the bag? Round your answer to four decimal places.
Click here to see answer by greenestamps(13198)  |
Question 1200407: In a recent poll, 320 people were asked if they liked dogs, and 91% said they did. Find the Margin of Error for this poll, at the 95% confidence level. Give your answer to four decimal places if possible.
*I need help understanding how to solve this using my TI-84 calculator
Click here to see answer by math_tutor2020(3816) |
Question 1200394: Assume that a sample is used to estimate a population proportion p. Find the 90% confidence interval for a sample of size 372 with 96 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places.
C.I. = ___________
Click here to see answer by Theo(13342)  |
Question 1200392: You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 98% confident that you estimate is within 1.5% of the true population proportion. How large of a sample size is required?
Click here to see answer by Theo(13342)  |
Question 1200449: Assume that a procedure yields a binomial distribution with a trial repeated
n = 5 times. Use some form of technology to find the cumulative probability distribution given the probability p = 0.599 of success on a single trial.
P(x does not exceed 5) n = 5 p = 0.599
Click here to see answer by ikleyn(52776)  |
Question 1200428: The mean height of a population of girls aged 15 to 19 years in a certain population was found to be 165 cm with a standard deviation of 15cm. Assuming that the heights are normally distributed, find the heights in centimeters that correspond to the following percentiles:
a. Between the 20th and 50th percentiles.
b. Between the 40th and 60th percentiles.
c. Between the 10th and 90th percentiles.
d. Above the 80th percentile.
e. Below the 10th percentile.
f. Above the 5th percentile.
Click here to see answer by ikleyn(52776)  |
Question 1200451: % of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive.
Click here to see answer by ikleyn(52776)  |
Question 1200452: 1. A questionnaire asks shareholders of a company to state whether they consider the chairman’s salary to be too high, about right, or too low. Excluding shareholders who have no opinion, the probabilities of answers from randomly selected shareholders are as follows:
Too High 0.60
About Right 0.25
Too Low 0.05
What are the probabilities that if three shareholders are selected at random,
a. They will all answer, ‘too high’?
b. First will answer ‘too high’, other ‘too low’?
c. One will answer ‘too high’, other ‘too low’?
d. Exactly two will answer ‘too low’?
Click here to see answer by ikleyn(52776)  |
Question 1200461: A store purchases baseball hats from three different manufacturers. In manufacturer A's box, there are 12 blue hats, 6 red hats, and 6 green hats. In manufacturer B's box, there are 10 blue hats, 10 red hats, and 4 green hats. In manufacturer C 's box, there are 8 blue hats, 8 red hats, and 8 green hats. A box is selected at random, and a hat is selected at random from that box. If the hat is red, find the probability that it came from manufacturer A's box.
Click here to see answer by ikleyn(52776)  |
Question 1200463: Mrs. Brown has 15 children in her first-grade class, and Mr. Lopez has 21 children in his second-grade class. The principal has been asked to select 1 student from one of the classes to appear at a PTA meeting. How many ways can the selection be made?
Click here to see answer by ikleyn(52776)  |
Question 1094896: A report in 2010 indicates that Americans between the ages of 8 and 18 spend an average of μ = 10 hours per day using some sort of electronic devices such as smart phones, computers, or tablets. Assume that the distribution of times is normal with a standard deviation of σ = 2.5 hours and find the following values.
A. What is the probability of selecting an individual who uses electronic devices more than 12 hours a day?
So far for this one, I have done (9-10)/ 2.5= 1.8. I am not sure what to do from here. I am pretty sure I have to subtract a z score amount from the z table, but I'm not really sure how to figure that out.
B. What proportion of 8- to 18-year-old Americans spend between 8 and 12 hours per day using electronic devices? P(5
I am really confused by this question, I'm not sure where to start.
Click here to see answer by sophi.riv(1) |
Question 1094896: A report in 2010 indicates that Americans between the ages of 8 and 18 spend an average of μ = 10 hours per day using some sort of electronic devices such as smart phones, computers, or tablets. Assume that the distribution of times is normal with a standard deviation of σ = 2.5 hours and find the following values.
A. What is the probability of selecting an individual who uses electronic devices more than 12 hours a day?
So far for this one, I have done (9-10)/ 2.5= 1.8. I am not sure what to do from here. I am pretty sure I have to subtract a z score amount from the z table, but I'm not really sure how to figure that out.
B. What proportion of 8- to 18-year-old Americans spend between 8 and 12 hours per day using electronic devices? P(5
I am really confused by this question, I'm not sure where to start.
Click here to see answer by ikleyn(52776)  |
Question 1200458: Please help me with this probability question
The shelf life of a product has a mean, ū=10days and a standard deviation of 3 days. Assuming a normal distribution, determine the probability of a product lasting for
a) between 7 days and 13days
b) fewer than 7days
Thank you very much
Click here to see answer by ikleyn(52776)  |
Question 1200458: Please help me with this probability question
The shelf life of a product has a mean, ū=10days and a standard deviation of 3 days. Assuming a normal distribution, determine the probability of a product lasting for
a) between 7 days and 13days
b) fewer than 7days
Thank you very much
Click here to see answer by Theo(13342)  |
Question 1200474: a company produce parts, a quality control worker picks 12 parts and rates them. two of them were defective, and 10 were fine. what is the probability that he randomly picks two defective parts in a row? find the probability that at least one part is fine. find the probability that both parts are fine.
Click here to see answer by ikleyn(52776)  |
Question 1200499: A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 4 digits long, and that each digit could be a number between 0 and 5. Assume that the hacker makes random guesses.
What is the probability that the hacker guesses the password on his first try? Please report the answer to four decimal places.
Click here to see answer by ikleyn(52776)  |
Question 1200499: A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 4 digits long, and that each digit could be a number between 0 and 5. Assume that the hacker makes random guesses.
What is the probability that the hacker guesses the password on his first try? Please report the answer to four decimal places.
Click here to see answer by math_tutor2020(3816) |
Question 1200085: For this discussion you will post a problem that identifies a variable that might have a normal distribution. Then pose two questions. The first asks for a probability and the second gives either a quartile or percentile and asks to find the value of x that has that quartile or percentile. Be sure that in your initial post you include the mean and standard deviation. You can quickly look up the mean and to find the standard deviation, if it is not given note that 95% of the data is within two standard deviations from the mean. For example if the mean is 15 and based on common knowledge, the vast majority lies between 9 and 21, then 21 is 6 from 15, half of 6 is 3, thus the standard deviation is around 3.
Below is what I have. I feel like I am making this more complicated than I need to, But I'm not sure
The average sea turtle life span has a normal distribution of 50 years and a standard deviation of 5 years.
1. Find the probability that a sea turtle lives 40 years
2. Find the IQR.
Click here to see answer by Theo(13342)  |
Question 1200524: Krinkles potato chips is having a "Lucky Seven Sweepstakes." The one grand prize is $85,000; 7 second prizes each pay $8,500; 77 third prizes each pay $850; and 777 fourth prizes each pay $85. What is the expectation of this contest, if there are 8 million entries? (Round your answer to the nearest cent.)
Click here to see answer by Solver92311(821)  |
Question 1200524: Krinkles potato chips is having a "Lucky Seven Sweepstakes." The one grand prize is $85,000; 7 second prizes each pay $8,500; 77 third prizes each pay $850; and 777 fourth prizes each pay $85. What is the expectation of this contest, if there are 8 million entries? (Round your answer to the nearest cent.)
Click here to see answer by ikleyn(52776)  |
Question 1200546: The probabilities are 0.90, 0.80 that a family randomly chosen as part of a sample survey in a large city owns a flat screen television or a computer. what is the probability that a family in this area own one or the other?
Click here to see answer by ikleyn(52776)  |
Question 1200582: The number of sick days an employee takes in one year is uniformly distributed on the values 0,
1, 2, …,10 and is independent from one year to the next. In a five-year period, what is the
probability that an employee takes more than 5 sick days in at most one of the years?
Click here to see answer by math_tutor2020(3816) |
Question 1200581: A company has a 20-person grievance committee. When a grievance is filed, three of these
20 people are chosen at random to serve on a hearing panel. Suppose that two committees are
formed. What is the probability that these committees have at least one member in common?
Click here to see answer by ikleyn(52776)  |
Question 1200581: A company has a 20-person grievance committee. When a grievance is filed, three of these
20 people are chosen at random to serve on a hearing panel. Suppose that two committees are
formed. What is the probability that these committees have at least one member in common?
Click here to see answer by greenestamps(13198)  |
Question 1200576: The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 25.50 mpg and a standard deviation of σ = 2.25 mpg.
(b) Within what interval would you expect the sample mean to fall, with 98 percent probability? (Round your answers to 4 decimal places.)
Click here to see answer by Theo(13342)  |
Question 1200584: Each of the teams in a mixed volleyball league consists of 5 men and 5 women. There are 9 men and 10 women, including Julia, who are trying out for a team. How many possible teams would include Julia?
15,876
31,752
45,722,880
457,228,800
Click here to see answer by ikleyn(52776)  |
Question 1200584: Each of the teams in a mixed volleyball league consists of 5 men and 5 women. There are 9 men and 10 women, including Julia, who are trying out for a team. How many possible teams would include Julia?
15,876
31,752
45,722,880
457,228,800
Click here to see answer by math_tutor2020(3816) |
Question 1200593: Consider the following system: (LO2).90.90Determine the probability that the system will operate under each of these conditions:a.The system as shown.b.Each system component has a backup with a reliability of .90 and a switch that is 100 per-cent reliable.c.Each system component has a backup with .90 reliability and a switch that is 99 percent reliable.
Click here to see answer by ikleyn(52776)  |
Question 1200592: 3. A system consists of three identical components, in order for the system to perform as intended; all of the components must perform. Each has the same probability of performance. If the system is to have a .92 probability of performance, what is the minimum probability of performance needed by each of the individual components?
Click here to see answer by ikleyn(52776)  |
Question 1200592: 3. A system consists of three identical components, in order for the system to perform as intended; all of the components must perform. Each has the same probability of performance. If the system is to have a .92 probability of performance, what is the minimum probability of performance needed by each of the individual components?
Click here to see answer by Theo(13342)  |
Question 1200590: A pair of symmetrical six-sided dice is rolled. If the sum equals k on the face up, player A wins and the game ends. If the sum is equal to m, B wins and there is no further betting. What is the probability that A wins after n rolls? What is the probability that B will win? ([n, k, m] = [17, 3, 6])
Click here to see answer by ikleyn(52776)  |
Question 1200588: A symmetric coin is tossed n times, the outcomes are denoted by letters H, S. With a letter of length n, the sequence is shortened by crossing out all letters H before the first S and all H after the last S (if any). What is the probability that the resulting truncated sequence will contain no more than the letter m? ([n, m] = [14, 4])
Click here to see answer by ikleyn(52776)  |
Question 1200587: An n-byte message is being sent. For greater reliability, k independent information transmission channel is used.
What is the probability that at least one channel receives an undistorted message if the probability of a byte being scrambled on each channel is p? (p = 0.23, n = 9, k = 3)
Click here to see answer by ikleyn(52776)  |
Question 1200596: A meteorologist interested in the consistency of temperatures in three
cities during a given week collected the following data. The temperatures for
the five days of the week in the three cities were City 1 25 24 23 26 17 City2
22 |21 24 22 20 Citys 32 27|352428 Which city have the most consistent
temperature, based on these data?
Click here to see answer by ikleyn(52776)  |
Question 1200589: There are n stops on the bus route, the bus carries m passengers. Each of them gets off at one stop. What is the probability that no one gets off at at least one stop? What is the probability that no one gets off at exactly k stops? ([n, m, k] = [9, 13, 3])
Click here to see answer by ikleyn(52776)  |
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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, 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, 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