Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1206968: A researcher wishes to conduct a study of the color preference of new car buyers. Suppose that 30% of this population prefers the color brown. If 14 buyers are randomly selected, what is the probability that at least 3 buyers would prefer brown? Round your answer to the nearest ten-thousandth, if necessary.
Click here to see answer by ikleyn(52754)   |
Question 1206968: A researcher wishes to conduct a study of the color preference of new car buyers. Suppose that 30% of this population prefers the color brown. If 14 buyers are randomly selected, what is the probability that at least 3 buyers would prefer brown? Round your answer to the nearest ten-thousandth, if necessary.
Click here to see answer by math_tutor2020(3816) |
Question 1206969: Students at a certain school were surveyed, and it was estimated that 15% of college students abstain from drinking alcohol. To estimate this proportion in your school, how large a random sample would you need to estimate it to within 0.06 with probability 0.99, if before conducting the study (a) you are unwilling to predict the proportion value at your school and (b) you use the results from the surveyed school as a guideline.
Click here to see answer by Theo(13342)  |
Question 1206949: On Thursday, September 28, 2006 an 85 year old lady in Etobicoke, Ontario, woke from a dream about winning a lottery, and wrote down the six numbers on a piece of paper. She bought one Lotto 6/49 ticket the day of the dream using the numbers 1,10,18,24,31 and 46. On Friday, she bought another ticket with the exact same numbers. On Saturday, the real numbers were chosen and her two tickets were both winners. There was one other winning ticket in another province. The total jackpot was $24,000,000. Because the lady had two of the winning tickers, she received 2/3 of the jackpot.
a. What is the probability of getting the six correct numbers with one ticket?
b. If two tickets with the same numbers are purchased, what is the probability of one of the two tickets having all six winning numbers?
C. If two tickets with different numbers are purchased, what is the probability of one of the two tickets having all six winning numbers?
d. Is it a good strategy to select the same numbers twice (If one is only guessing)?
Click here to see answer by greenestamps(13195)  |
Question 1206944: Test the given claim. Assume that a simple random sample is selected from a normally distributed population. Use either the P-value method or the traditional method of testing hypotheses.
Company A uses a new production method to manufacture aircraft altimeters. A simple random sample of new altimeters resulted in errors listed below. Use a 0.05 level of significance to test the claim that the new production method has errors with a standard deviation greater than 32.2 ft, which was the standard deviation for the old production method. If it appears that the standard deviation is greater, does the new production method appear to be better or worse than the old method? Should the company take any action?
-44, -79, -21, -70, -41, 14, 17, 55, -8, - 54, - 109, - 109
Click here to see answer by Theo(13342) |
Question 1206985: Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering
yes'' are given below:
First-Years (Pop. 1):Fourth-Years (Pop. 2):n1=97,n2=91,x1=56x2=60
Is there evidence, at an α=0.055
level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Carry out an appropriate hypothesis test, filling in the information requested.
A. The value of the test statistic (rounded to 3 decimal places):
Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a)
is expressed (-infty, a), an answer of the form (b,∞)
is expressed (b, infty), and an answer of the form (−∞,a)∪(b,∞)
is expressed (-infty, a)U(b, infty).
B. The rejection region for the standardized test statistic:
C. The p-value is
Click here to see answer by Theo(13342) |
Question 1206680: Consider a medical test for a certain disease. The probability of a person having the disease is 0.05 in the general population. A diagnostic test is available with a sensitivity of 0.9 (the probability of a positive result given that the person has the disease) and a specificity of 0.8 (the probability of a negative result given that the person does not have the disease). Given - Event A: Person has disease, Event
B : The diagnostic test result is positive. Calculate
i. The probability that a person has the disease (P(A)).
ii. The probability that the diagnostic test result is positive (P(B)).
The probability that a person does not have the disease given that the test result is positive (P(~A|B)).
iv. The probability that a person has the disease given that the test result is negative (P(A~B)).
Click here to see answer by Shin123(626)  |
Question 1206991: Problem 6.(3 points)
A breathalyser test is used by police in an area to determine
whether a driver has an excess of alcohol in their blood. The de-
vice is not totally reliable: 7 % of drivers who have not consumed
an excess of alcohol give a reading from the breathalyser as being
above the legal limit, while 10 % of drivers who are above the le-
gal limit will give a reading below that level. Suppose that in fact
17 % of drivers are above the legal alcohol limit, and the police
stop a driver at random. Give answers to the following to four
decimal places.
Part a)
What is the probability that the driver is incorrectly classified as
being over the limit?
Part b)
What is the probability that the driver is correctly classified as be-
ing over the limit?
Part c)
Find the probability that the driver gives a breathalyser test read-
ing that is over the limit.
Part d)
Find the probability that the driver is under the legal limit, given
the breathalyser reading is also below the limit.
Click here to see answer by ikleyn(52754) |
Question 1207011: The maintenance department at the main campus of a large state university receives daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 64 and a standard deviation of 9. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 64 and 82?
Click here to see answer by ikleyn(52754) |
Question 1207041: Measurements were made of the milk fat content (in percent) in six brands of feta cheese (a variety of goat cheese), with the following results. Assume that the population is normally distributed.
27.5 19.3 32.0 23.5 24.6 16.9
Construct a 90% confidence interval for the population standard deviation σ.
Click here to see answer by Theo(13342) |
Question 1207166: Hi, could you please help me with this question:
A multiple choice test consists of eight questions, each of which has four options of which only one is correct.
Raphael has done no study, so decides to just guess his answers. Find the following probability, in simplest fraction form of Raphael getting at least seven questions correct.
Thank you
Click here to see answer by ikleyn(52754) |
Question 1207168: Assume that the readings at freezing on a batch 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 between -2.572°C and -0.181°C
Click here to see answer by Theo(13342) |
Question 1207161: The standard deviation of fuel consumption of a manufacturer's sport utility vehicle is
hypothesized to be 3.3 miles per gallon. A random sample of 18 vehicles has a standard
deviation of 2.8 miles per gallon. At ᵯ =0.10, is the claim believable? You must show all 5
steps of a hypothesis test for full credit
Click here to see answer by Theo(13342) |
Question 1207206: A local grocery store tested spinach samples for E coli bacteria using two different tests. The first test has a 94% probability of giving accurate results, while the second test is accurate 89% of the time. A sample that contains E coli bacteria is tested.
The probability that both tests detect the bacteria is
Click here to see answer by ikleyn(52754) |
Question 1207220: . A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these homes are usually left unlocked, what is the probability that the real estate agent can get into a specific home if the agent selects 15 master keys at random before leaving the office?
Click here to see answer by greenestamps(13195) |
Question 1207220: . A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these homes are usually left unlocked, what is the probability that the real estate agent can get into a specific home if the agent selects 15 master keys at random before leaving the office?
Click here to see answer by ikleyn(52754) |
Question 1207223: 3. The Edwards's Theater chain has studied its morie customers to determine how much money they spend on concessions. The study revealed that the spending distribution is approximately normally distributed with a man of 84.11 and a standard deviation of 81.37.
a) What percentage of customers will spend less than $2.50 on concessions"
(b) What percentage of the customers will spend between 83.00 to $4.20 cm concession?
(c) You got free tea if you spend more than 86.00. How many people are likely to get tea if 100 people attended the movie.
Click here to see answer by Theo(13342) |
Question 1206828: The number of anticancer drugs produced by a certain complex chemical company is exponentially
distributed with mean 𝜆𝜆 = 0.17 kilograms per hour. What is the probability that the production
process requires more than 15 minutes to produce the next kilogram of drugs?
Click here to see answer by amarjeeth123(569) |
Question 1207237: A fish stall owner at a market place claims that the weight of a catfish he is selling is approximately normally distributed with a mean of 3 pounds and a standard deviation of 0.5 pounds. A random sample of 20 catfishes is selected.
What is the PROBABILITY that the average weight is at least 2.8 pounds?
What is the PROBABILITY that the average weight is between 2.8 pounds and 3.2 pounds?
What is the AVERAGE WEIGHT of top 10% of catfish?
Click here to see answer by Theo(13342) |
Question 1207251: A population of values has a normal distribution with and , You intend to draw a random sample of size .
Find the probability that a single randomly selected value is greater than 220.5.
Find the probability that a sample of size is randomly selected with a mean greater than 220.5 .
Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z. scores rounded to 3 decimal places are accepted.
Click here to see answer by ikleyn(52754) |
Question 1207261: 4. A batch of 400 iron rods consists of 100 oversized rods, 100 undersized rods, and 200 of desired length. If two rods are drawn at random without replacement, what is the probability of obtaining (i) two rods of desired length. (ii) exactly one of the desired length (iii) none of the desired length (iv) Two undersized rods.
Click here to see answer by ikleyn(52754) |
Question 1204805: The average BMI (body mass index) of college students is normally distributed with a mean of 25, standard deviation of 5. How many students BMI is between 22 and 29? How many students have a BMI of more than 29? How many students have a BMI of less than 22? What level of BMI would put you in the bottom 5% of the weight distribution? Top 5%?
Click here to see answer by Theo(13342) |
Question 1207265: An urn contains 7 red marbles, 6 white marbles, and 8 blue marbles marbles. A child randomly selects three (without replacement) from the urn. Round to four decimal places.
Find the probability all three marbles are the same color.
Find the probability that none of the three marbles are white.
Click here to see answer by ikleyn(52754) |
Question 1207265: An urn contains 7 red marbles, 6 white marbles, and 8 blue marbles marbles. A child randomly selects three (without replacement) from the urn. Round to four decimal places.
Find the probability all three marbles are the same color.
Find the probability that none of the three marbles are white.
Click here to see answer by math_tutor2020(3816) |
Question 1207293: A student is taking a multiple choice test with 3 questions, each of which has five possible answers. If the student guesses at random on all three questions, what is the probability that they answer all three questions correctly?
Click here to see answer by ikleyn(52754) |
Question 1207296: You choose a tile at random from a bag containing 3 A's, 2 B's, and 4 C's. You replace the first tile in the bag and then choose again. Find P(Upper A and Upper A ).
Question content area bottom
Part 1
P(Upper Aand Upper A)equals=
Click here to see answer by ikleyn(52754) |
Question 1207303: The high temperatures (in degrees Fahrenheit) of a random sample of 9 small towns are:
99.2
98.5
99.7
98.3
97.9
97.8
98.9
96.9
98.1
Assume high temperatures are normally distributed. Based on this data, find the 95% confidence interval of the mean high temperature of towns. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).
95% C.I. =
Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Click here to see answer by Theo(13342) |
Question 1207315: 3. According to a PEW* Research Center survey, the mean student loan at graduation is $25,000. Suppose that student loans are normally distributed with a standard deviation of $5,000. A graduate with a student loan is selected at random. Find the following probabilities. Let random variable X denote the student loan. (2 points)
[* PEW Research Center is a nonpartisan American think tank based in Washington, D.C.]
a. The loan is greater than $30,000 (1 point)
b. The loan falls between #20,000 and $32,000. (1 point)
Click here to see answer by ikleyn(52754) |
Question 1207318: Hi can you help me with this problem. Does it matter what the couple are, or do
we just say two people are a couple.
The drama club buys tickets for 12 seats in a row for a local production, and
then sends the tickets randomly to the 12 people who ordered seats. Of these 12
people, 7 are female and 5 are male. Determine the probability that:
a) A couple will receive tickets sitting together.
b) The women will be seated together and the men will be seated together.
Thank you
Click here to see answer by ikleyn(52754) |
Question 1207318: Hi can you help me with this problem. Does it matter what the couple are, or do
we just say two people are a couple.
The drama club buys tickets for 12 seats in a row for a local production, and
then sends the tickets randomly to the 12 people who ordered seats. Of these 12
people, 7 are female and 5 are male. Determine the probability that:
a) A couple will receive tickets sitting together.
b) The women will be seated together and the men will be seated together.
Thank you
Click here to see answer by Edwin McCravy(20054)  |
Question 1207318: Hi can you help me with this problem. Does it matter what the couple are, or do
we just say two people are a couple.
The drama club buys tickets for 12 seats in a row for a local production, and
then sends the tickets randomly to the 12 people who ordered seats. Of these 12
people, 7 are female and 5 are male. Determine the probability that:
a) A couple will receive tickets sitting together.
b) The women will be seated together and the men will be seated together.
Thank you
Click here to see answer by math_tutor2020(3816) |
Question 1207319: Hi can you help me with this problem. Does it matter what the couple are, or do we just say two people are a couple.
The drama club buys tickets for 12 seats in a row for a local production, and then sends the tickets randomly to the 12 people who ordered seats. Of these 12 people, 7 are female and 5 are male. Determine the probability that:
a) A couple will receive tickets sitting together.
b) The women will be seated together and the men will be seated together.
Thank you
Click here to see answer by ikleyn(52754) |
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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, 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, 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