Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 872919: A random sample of 100 rates of return on real estate investments were
computed and recorded. Assuming that the standard deviation of all rates of
return on real estate investments is 2.5% and sample mean is 12.
(a) Estimate the mean rate of return on all real estate investments with 95%
confidence.
(b) Discuss the assumptions of binomial distribution.
Click here to see answer by oscargut(2103)   |
Question 872974: Which of the following groups have terms that can be used interchangeably?
a. critical value, probability, proportion
b. percentage, probability, proportion
c. critical value, percentage, proportion
d. critical value, percentage, probability
Click here to see answer by ewatrrr(24785)  |
Question 872975: According to a recent report, 0.28 is the probability that an American adult male ha high cholesterol requiring treatment. Seven American adult males are randomly selected. Find the probability that exactly 3 of the 7 American adult males have high cholesterol requiring treatment.
Click here to see answer by ewatrrr(24785) |
Question 872960: A coin is flipped 10 times in a row.
a. How many sequences of heads and tails are in the sample space?
b. How many ways can 10 heads come up?
c. In how many sequences can 0, 1, 2, or 3 heads show, with the rest tails? Hint:
d. Calculate the probability that 0, 1, 2, or 3 heads show up.
e. What is the probability that at least 4 heads come up?
Click here to see answer by psbhowmick(878)  |
Question 872979: There are 1500 juniors in a college. Among the 1500 juniors, 200 students are taking
STAT200, and 100 students are taking PSYC300. There are 50 juniors taking both courses.
12. What is the probability that a randomly selected junior is in at least one of the two
courses?
13. What is the probability that a randomly selected junior takes only one of the two courses?
Click here to see answer by psbhowmick(878) |
Question 872985: a random sample of 25 sessions, what is the probability that the sample mean is between 7.8 and 8.2 minutes?
...between 7.5 and 8.2 minutes.
If you select a random sample of 25 sessions, what is the probability that the sample mean is between 7.8 and 8.2 minutes?
Click here to see answer by ewatrrr(24785) |
Question 872995: A government agency has specialists who analyze the frequencies of letters of the alphabet in an attempt to decipher intercepted messages. In standard English test, a particular letter is used at a rate of 7.5%. Find the mean and standard deviation for the number of times this letter will be found on a typical page of 2700 characters.
Click here to see answer by ewatrrr(24785) |
Question 872993: Mimi just started her tennis class three weeks ago. On average, she is able to return 15% of
her opponent’s serves. Let random number X be the number of serves Mimi returns. As
we know, the distribution of X is a binomial probability distribution. If her opponent serves
10 times, please answer the following questions:
1. What is the number of trials (n), probability of successes (p) and probability of failures (q),
respectively?
2. Find the probability that she returns at most 8 of the 10 serves from her opponent .
3. Find the mean and standard deviation for the probability distribution.
Click here to see answer by ewatrrr(24785) |
Question 872958: 1. A jar contains five red, four white, and three blue balls. If three balls are randomly
selected, find the probability of choosing:
a. Three white balls.
b. Two red balls and one white ball.
c. Three balls of the same color.
Click here to see answer by ewatrrr(24785) |
Question 872369: A study was done on proctored and non proctored tests. The results are shown below. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal.
Proctored: μ=μ1, n=30, x bar=74.82, s=10.34
Non-Proctored:μ=μ2, n=32, x bar=86.92, s=20.79
A.Use a 0.01 significance level, and test the claim that students taking non proctored tests get a higher score than those taking proctored tests.
What are the null and alternative hypotheses?
The test statistic, t, is(blank)?(round to two decimal places as needed)
The P-value is (blank)? (round to three decimal places as needed)
State the conclusion for the test. (reject or fail to reject)
Construct a confidence interval suitable for testing the claim that students taking the non proctored tests get a higher mean score than those taking proctored tests. (blank)<μ1-μ2<(blank). (round to three decimal places as needed)
Does the confidence interval support the conclusion of the test?
(Yes/no)because the confidence interval contains (only positive values, only negative values,zero)
Click here to see answer by psbhowmick(878) |
Question 873009: Show all work. Just the answer, without supporting work, will receive no credit.
The heights of pecan trees are normally distributed with a mean of 10 feet and a standard deviation of 2
feet.
1. What is the probability that a randomly selected pecan is between 8 and 12 feet tall?
2. Find the 80th percentile of the pecan tree height distribution.
3. If a random sample of 64 pecan trees is selected, what is the standard deviation of the sample mean?
Click here to see answer by ewatrrr(24785) |
Question 873016: A federal report find that a lie detector test given to truthful persons have a probability of 0.2 of suggesting that the person is deceptive. A company asks 12 job applicants to take a lie detect test. Suppose that all 12 applicants answer truthfully.
What is the probability that exactly one is being deceptive.
What is the probability that at most one is being deceptive.
What is the mean and standard deviation of this distribution.
I am having trouble with these questions, thanks in advanced
Click here to see answer by ewatrrr(24785) |
Question 873004: When someone buys a ticket for an airline flight, there is a 0.0986 probability that the person will not show up for the flight. A certain jet can seat 15 passengers. Is it wise to book 17 passengers for a flight on the jet?
Determine whether or not booking 17 passengers for 15 seats on the jet is a wise decision.
Click here to see answer by ewatrrr(24785) |
Question 873043: A random sample of 625 SAT scores has a mean of 1500. Assume that SAT scores have
a population standard deviation of 250. Construct a 95% confidence interval estimate of the mean SAT scores. Show all work. Just the answer, without supporting work, will receive no credit
Click here to see answer by reviewermath(1029)  |
Question 873045: Consider the hypothesis test given by
H0 :µ= 530
H1:µ< 530
In a random sample of 225 subjects, the sample mean is found to be
xbar 525 . Also, the population standard deviation is ( 25 ).
(a) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.
(b) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit.
(c) Is there sufficient evidence to justify the rejection of
H0 at the (alfa 0.01) level? Explain
Click here to see answer by reviewermath(1029) |
Question 873089: A fifteen question multiple choice exam is created with four possible answers for each of the questions. The test is then administered to a student. Determine the probability that the student will correctly answer more than seven questions if the student randomly selects answers from the response options?
Enter your response as a three digit decimal.
Click here to see answer by reviewermath(1029) |
Question 873044: A 6-faced die is rolled two times. Let A be the event that the outcome of the first roll is greater than 4.
Let B be the event that the outcome of second roll is an odd number.
1. What is the probability that the outcome of the second roll is an odd number, given that the first roll is greater than 4?
2. Are A and B independent? Why or why not?
Click here to see answer by oscargut(2103) |
Question 873268: A variable X has a mean of 185.5 and a standard deviation of 21.4. A random sample of size 67 is selected. Assuming X is normally distributed, what is the probability, to two decimal places, that the sample mean exceeds 200? Give your answer to two decimal places in the form x.xx
Click here to see answer by ewatrrr(24785) |
Question 873263: A survey of 1,000 passengers at KLIA has found that the time taken to
get between 2 gates in the same terminal of the airport is normally
distributed with a mean of 20 minutes and a standard deviation of 6
minutes.
a) Based on this information, what should be the minimum time allowed
for a connection between an arrival and a departure in order to ensure
that the majority of passengers are able to make it?
b) If an arriving plane is late, reducing the available connection time to 30
minutes, what percentage of passengers would you expect to arrive
late at the departure gate?
Click here to see answer by ewatrrr(24785) |
Question 873321: The distribution of the amount of money undergraduate students spend on books for a term is Normal with a mean of $450 and a standard deviation of $80.
a) If a student is selected at random, what is the probability that this student spends more than $470 on books in a term?
b) If an SRS of 100 undergraduates is selected, what is the probability that their average amount of money spent on books this term is more than $470?
c) 99% of students spend between ____ and ____ dollars on textbooks.
d) If an SRS of 100 undergraduates is measured, 99% of the time the average will fall between ____ and _____ dollars.
Click here to see answer by ewatrrr(24785) |
Question 873319: 2 identical boxes have 5 chips in them. Box A has 3 blue chips and 2 red chips. Box B has 2 blue chips and 3 red chips. A box is randomly selected, and two chips are randomly drawn (without replacement).
a) What is the probability of drawing 2 blue chips?
b) Given that Box A is chosen, what is the probability of drawing 2 blue chips?
c) Based on your answers in parts a & b, are the events “drawing 2 blue chips” and “choosing Box A” dependent or independent?
Click here to see answer by ewatrrr(24785) |
Question 873246: There is a 3/4 chance that my trash will be taken out. There is a 1/2 chance that my room will be swept. There is a 3/8 chance that both my trash will be taken out and the room will be swept. What is the probability that at least either my trash will be taken out or my room will be swept.?
Click here to see answer by ewatrrr(24785) |
Question 873367: A group of people has 9 males and 3 females.
Find the probability that the first randomly selected person
is female and the second is female again.
(you cannot select the same female again).
Use formula for P(A and B), simplify answer.
Click here to see answer by ewatrrr(24785) |
Question 873227: A quality control engineer is interested in engineering the proportion of defective items coming off a production line, in a sample of 300 items. in 27 are defective. Calculate a 90% confidence interval for the proportion of defective from this production.
Click here to see answer by ewatrrr(24785) |
Question 873384: There are 52 cards in the standard deck of cards.
26 of them are red: 13 Hearts ©, 13 Diamonds ¨.
26 cards are black: 13 Clubs ♣, 13 Spades ª.
Each of these four groups have King card.
So, there are four Kings in the deck of cards: 2 red and 2 black.
Find the probability that randomly taken card will be King or red.
Use formula: P(A or B) = P(A) + P(B) - P(A and B).
Simplify the final fraction.
Click here to see answer by ewatrrr(24785) |
Question 873391: Use Multiplication Principle
to calculate in how many ways you can select a 3-digit number code for your locker.
All single digits(numbers) should be different.
Like 235 or 870 or 061 and so on.
Tip: To find total number of choices multiply number of choices for the first digit
times number of choices for the second digit times number of choices for the third digit.
Remember: you cannot use the same digit again.
Click here to see answer by jim_thompson5910(35256) |
Question 873453: The Law School Admission Test (LSAT) is required for admission to many law schools. The scores on the LSAT are approximately normal with mean of 150 and standard deviation of 9. Queenís School of Business in Kingston, Ontario requires a minimum LSAT score of 157 for admission.
1. a)What is the z-score corresponding to an LSAT score of 157? Round your answer to three decimal places.
z = .778
b)What is the probability that a randomly selected person who took the LSAT would score above 157? Round your answer to three decimal places.
Answer= .218
Bellow are the questions i don't understand!!!
c)What is the probability that the mean score for 5 randomly selected people who took the LSAT would be above 157? Round your answer to three decimal places.
d)What is the probability that the mean score for 10 randomly selected people who took the LSAT would be above 157? Round your answer to three decimal places.
Click here to see answer by jim_thompson5910(35256) |
Question 873453: The Law School Admission Test (LSAT) is required for admission to many law schools. The scores on the LSAT are approximately normal with mean of 150 and standard deviation of 9. Queenís School of Business in Kingston, Ontario requires a minimum LSAT score of 157 for admission.
1. a)What is the z-score corresponding to an LSAT score of 157? Round your answer to three decimal places.
z = .778
b)What is the probability that a randomly selected person who took the LSAT would score above 157? Round your answer to three decimal places.
Answer= .218
Bellow are the questions i don't understand!!!
c)What is the probability that the mean score for 5 randomly selected people who took the LSAT would be above 157? Round your answer to three decimal places.
d)What is the probability that the mean score for 10 randomly selected people who took the LSAT would be above 157? Round your answer to three decimal places.
Click here to see answer by stanbon(75887) |
Question 873495: A survey of 300 union members in New York State reveals that 37.3% favor the Republican candidate for governor. Construct the 98% confidence interval for the true population proportion of all New York union members.
For this I got (.308, .438) but the next part of the question is throwing me off.
What is the point estimate of the population proportion p of voters favoring the Republican candidate?
Click here to see answer by stanbon(75887) |
Question 873482: 1. For every person who walked there were 44 who drove. If 270 made the trip, how many walked?
2. Jenna pedaled the 24 miles to the lake against the wind and averaged 8 miles per hour on the return trip she averaged 12 miles per hour. Find Jenna's average speed for the round trip.
Click here to see answer by stanbon(75887) |
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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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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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