Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 765100: You are taking a true-false test that has ten question, and you need a score of 70 percent to pass. You know the answers to only six of the questions. For the other four, you toss a coin and answer true if it comes up heads and false if it comes up tails.
What is the probability that you will pass the exam? (Think about this as the probability of getting at least one right answer in four tries-or one minus the probability of getting four wrong answers.)
Click here to see answer by stanbon(75887)  |
Question 765195: An average computer mouse inspector can inspect 45 mice per hour with a population standard deviation of 14 mice per hour. The 44 computer mice inspectors at a particular factory can only inspect 38 mice per hour. Does the company have reason to believe that these inspectors are slower than average at α = 0.10?
Show work, thanks
Click here to see answer by stanbon(75887) |
Question 691674: According to the statistics of a famous high school in Canada, all their graduates went to either A or B for university study. Following are the proportions of graduates who went to the two universities.
University Proportion
A------------1-k
B-------------k
Suppose k = 0.4
(a) What is the standard deviation of the number of graduates going to B from random samples of the graduates, each with sample size 50?
(b) What is the probability that more than half of graduates going to A in a random sample of 8 graduates?
(c) What is the chance of having at least one graduate going to B and at least one graduate going to A in a random sample of 10 graduates?
(d) Based on the most updated annual report from the school, there were 1280 graduates last year and 690 of them went to A. What is the estimated value of k?
Click here to see answer by tommyt3rd(5050)  |
Question 765218: Suppose in the United States, 60% of murders are committed with a firearm. Suppose 15 murders are randomly selected. Find the probability that between 10 and 12 murders, inclusive, are committed with a firearm.
Hope you can help me set this problem up and solve. Thanks.
Click here to see answer by stanbon(75887) |
Question 765201: A random number generator generates numbers between 0 and 10. Let random variable X be the number generated. Suppose X has a uniform distribution. What is the probability that the computer generates a number between 1 and 4? Note: you must find the probability density function of X.
Would really like to see how I need to work this problem. Thank you.
Click here to see answer by rothauserc(4718)  |
Question 765214: What is the probability of getting a spade flush from a standard 52-card deck of cards? (A spade flush is achieved by being dealt, without replacement, 5 consecutive spade cards).
I know the chances of getting a spade are 13/52 or 1/4.
Not certain how to write getting five consecutive spade cards. Thanks.
Click here to see answer by rothauserc(4718) |
Question 765277: A vending machine dispenses coffee into a 20 ounce cup.The amounts of coffee dispensed into the cup are normally distributed with a standard deviation of 0.05 ounce. You can allow the cup to overfill 5% of the time. What amount should you set as the mean amount of coffee to be dispensed?
Click here to see answer by reviewermath(1029)  |
Question 765339: Data for 7 corps were combined for the 20-year period, and the 140 corps-years included a total of 84 deaths. Suppose the Poisson distribution will be used to find the probability that a randomly selected corps-year has more than 4 deaths. Find the mean of the appropriate Poisson distribution (the mean number of deaths per corps-year)
Click here to see answer by Theo(13342)  |
Question 765250: Suppose 10 chips numbered 1-10 are put in a box..if one chip is randomly selected,what is the probability that it is an even and multiple of 3?
If a chip is randomly selected , what is the probability that is even or a multiple of 3?
Click here to see answer by stanbon(75887) |
Question 765249: Approximately 19.4% of the U.S population age 5 years and above speaks a language other than English at home. In a large metropolitan area, it was found that 94 residents (age 5 years and above) out of 400 randomly selected residents spoke a language other than English at home. Use the z-test for for a proportion, and test the claim that the proportion for this metropolitan area is higher than the national proportion. Use alpha=0.01 and report the p-value.
Any help with this will be deeply appreciated.
Click here to see answer by stanbon(75887) |
Question 765242: I really need help on this one.
The data given below show the number of students attending cyber charter schools in Allegheny County, Pittsburgh, Pennsylvania and the number of students attending cyber schools in counties surrounding Allegheny County. At , is there enough evidence to support the claim that the average number of students in school districts in Allegheny County who attend cyber schools is greater than those who attend cyber schools in school districts outside Allegheny County? Assume normal distributions and equal population variances. (Decide whether the z-test or the t-test applies). You will have to calculate the sample mean and sample standard deviation for each group.
Allegheny County
25, 75, 38, 41, 27, 32
Outside Allegheny County
57, 25, 38, 14, 10, 29
Click here to see answer by stanbon(75887) |
Question 765397: In a Midwestern state the proportion of the population 21 years of age or older who have a high school diploma is π = 0.9.
6 For samples of size n = 800 obtained from this population, the standard error of the sample proportion p̄ is, se(p̄) = ______.
a 0.0245
b 0.0205
c 0.0122
d 0.0106
7 The probability that in a sample of n = 800 the sample proportion of individuals with a higher education degree is between 0.88 and 0.92 is, P(0.88 < p̄ < 0.92) = _____.
a 0.9817
b 0.9625
c 0.9412
d 0.9109
8 The proportion of p̄ values obtained from samples of size n = 800 that fall within ±0.025 (or 2.5 percentage points) from the population proportion is _____.
a 0.9818
b 0.9412
c 0.8904
d 0.8444
9 The margin of error for the interval which contains the middle 95% of all sample proportions obtained from samples of size n = 800 is: MOE = _______.
a 0.036
b 0.032
c 0.021
d 0.010
10 To obtain a sampling distribution where the middle 95% of all sample proportions fall within MOE = ±0.03 (3 percentage points) from π, the proper sample size is n = ______.
a 702
b 618
c 455
d 385
Click here to see answer by solver91311(24713)  |
Question 765472: For a certain bag of candy , 15% of the pieces are yellow, 15% are red, 15& are blue and 5% are green and the rest are brown. If you pick three pieces in a row from this bag with replacement, what is the probability that they are all brown?
Click here to see answer by reviewermath(1029) |
Question 765556: Abin contains six parts. Two of the parts are defective and four are acceptable. If three of the six parts are selected from the bin, how large is the sample space? which counting rule did you use and why? For this sample apace, what is the probability that exactly one of the three sampled parts is defective?
Click here to see answer by stanbon(75887) |
Question 765561: Suppose that 47% of all Americans have flown in an airplane at least once and that 28% of all Americans have ridden on a train at least once. What is the probability that a randomly selected Americans has either ridden on a train or flown in an airplane? Can this problem be solved? Under what conditions can it be solved? If the problem cannot be solved, What information is needed to make it solvable?
Click here to see answer by stanbon(75887) |
Question 765558: A Company places a seven degit serial number on each part that is made. Each digit of the serial number can be any number from 0 through 9. Digits can be repeated in the serial number. How many different serial numbers are possible?
Click here to see answer by stanbon(75887) |
Question 765567: Please help me solve this probablity question: Suppose the # of buses arriving at a campus has a Poisson probability distribution. Also,assume that the average # of arrivals per hr is 7.
A.) find the probablity of 5 arrivals in 1 hour?
B.)find the probablity of 12 or more arrivals in an hour?
C.)find the probablity of more than 3 arrivals in 30minutes?
Click here to see answer by reviewermath(1029) |
Question 765530: Please I need some help, I can't figure out how to get the right answer. I have the formula, but I can't figure out the right equation.
For a recent year, the mean fare to gly from Charlotte, NC to Seattle, WA, on a discounted ticket was $267. A random sample of round-trip discount fares on this route las month gives:
$321, $286, $290, $330, $310, $250, $270, $280, $299, $265, $291, $275, $281
At the .01 significance level, can we conclude that the mean fare has increased? what is the p-value?
This is what I have:
Z (sub a/2) equals (x-mu)/stnd dev
H0:mu equeals $267
Ha:mu equals < $267 (1-tailed test)
a equals 0.01
Click here to see answer by stanbon(75887) |
Question 765580: Please help me with this problem:
20% of the students on campus are from California A random sample of 10 students is selected.
A.)what is the expected # of California students in the sample?
B.) what is the probability of finding in our sample at least 6 but less than 9 such students?
C) what is the probability of finding exactly 3 such students( show me the set up formula)
Click here to see answer by reviewermath(1029) |
Question 765574: Please help me solve this question:
A game involves rolling a die once. If a number less than 3 appears,you lose $60. If a 4 or 6 appears,you win $120. If a 5 appears,nothing happens.
A.) show the probability distribution for the money.
B.) calculate the expected monetary value of the game.
Click here to see answer by Theo(13342) |
Question 765593: A physical fitness association is including the mile run in its secondary-school fitness test. The time for this
event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a
standard deviation of 60 seconds. Find the probability that a randomly selected boy in secondary school can run
the mile in less than 322 seconds.
Click here to see answer by Theo(13342) |
Question 765570: I will really appreciate your help with this problem. Thanks.
The data given below are the number of absences for students in a college class and the student's final grade.
Number of absences x 10 12 2 0 8 5
Final grade y 70 65 96 94 75 82
Find the value of the correlation coefficient r. Discuss the type of relationship that appears to exist between the number of absences x and a student's final grade y.
Test the significance of the correlation coefficient using alpha=0.05.
H0: P=0(No relationship exist between number of absences and final grade)
Ha: p not equal to 0(A relationship exists between number of absences and final grade)
Click here to see answer by stanbon(75887) |
Question 765714: Kindergarten children have heights that are approximately normally distributed about a mean of 39.9 inches and a standard deviation of 2.3 inches. If a random sample of 25 is taken, what is the probability that the sample of kindergarten children has a mean height of less than 37.9 inches?
I need help with the set-up/formula to try to figure out how to solve this problem. Thanks in advance!
Click here to see answer by rothauserc(4718) |
Question 765554: 1.Four students who commute together claim that they missed an exam due to a flat tire on the same vehicle. On the make-up exam, the instructor asks the students to identify the particular tire that went flat. If they really did not have a flat tire and randomly select one of the four tires on the vehicle, what is the probability that they all select the same tire?
2.The Orange County Department of Public Health tests water for contamination because of the presence of E. coli bacteria. To reduce laboratory costs, water samples from six public swimming areas are combined for one test, and further testing is only done if the combined sample fails. Based on past results, there is 2% chase of finding E.coli in a public swimming area. Find the probability that a combined sample from six public swimming areas will reveal the presence of E. coli bacteria.
I cannot get the right answer for these two questions no matter what way I tried. Please help me solve it! Thank You
Click here to see answer by stanbon(75887) |
Question 765505: In a class of 469 students, 65 earned an A, 113 earned a B, 184 earned a C, 60 earned a D, and the rest an F. Students need a C or higher to pass. If three students are randomly selected , what is the probability that at least one fails?
Click here to see answer by stanbon(75887) |
Question 765751: Reading readiness of preschoolers from an impoverished neighborhood (n = 20) was measured using a standardized test. Nationally, the mean on this test for preschoolers is 30.9, with SD = 2.08.
a. Children below the 30th percentile (in the bottom 30%) are in need of special assistance prior to attending school. What raw score marks the cut-off score for these children? (8 pts)
(What I came up with- Z-Score=-2.75 X=30.9+2.08(-2.75)=25.18 Cut Off is 25.18)
b. What percentage of children score between 25 and 28.5? (8 pts)
(what I came up with- Z= (25-30.9)/2.08=-2.83 Z= (28.5-30.9)/2.08=-1.15
-2.83+-1.15=-3.98 50-3.98=46.02 46.02% score between 25 and 28.5)
c. How many children would we expect to find with scores between 28 and 31.5?(8 pts)
(What I came up With- Z=(28-30.9)/2.08=-1.39 Z=(31.5-30.9)/2.08=.28
-1.39+.28=-1.11 Z-Score=2.29,
X=30.9+2.08(2.29)= 35.66 36 Children have scores between 28 and 31.5)
d. Children in the top 25% are considered accelerated readers and qualify for different placement in school. What raw score would mark the cutoff for such placement? (11 pts)
(What I came up With- . Z-Score=2.81 X=30.9+2.08(2.81)=9.74 Cut-Off is 9.74)
Click here to see answer by stanbon(75887) |
Question 765802: okay i have a table with the drinking habits of students and one of my questions is if two different students are chosen at random, find the probability that they both are heavy drinkers. does that mean i have to find the probability that one is a heavy drinker and then double it or? i dont need you to solve the problem for me and i dont think you need to know the values i just want to know the formula or the procedure for solving it, can you help me please
Click here to see answer by rothauserc(4718) |
Question 765991: What is the probability that a random 2-digit number (00-99) does not end in 3?
What is the probability that a randomly selected date in one year is not in the month of December or January?
There are 12 ballons in a bag: 3 each of blue, green, red, and yellow. Three balloons are chosen at random. Find the probability that all 3 balloons are green.
A coach randomly selects 3 swimmers from a team of 8 to swim in a heat. What is the probability that the three strongest swimmers are chosen?
There are 7 books numbered 1 through 7 on the summer reading list. Peter randomly chooses two books. What is the probability that he chose books 1 and 4?
Click here to see answer by solver91311(24713) |
Question 765991: What is the probability that a random 2-digit number (00-99) does not end in 3?
What is the probability that a randomly selected date in one year is not in the month of December or January?
There are 12 ballons in a bag: 3 each of blue, green, red, and yellow. Three balloons are chosen at random. Find the probability that all 3 balloons are green.
A coach randomly selects 3 swimmers from a team of 8 to swim in a heat. What is the probability that the three strongest swimmers are chosen?
There are 7 books numbered 1 through 7 on the summer reading list. Peter randomly chooses two books. What is the probability that he chose books 1 and 4?
Click here to see answer by MaartenRU(13)  |
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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, 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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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