Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1199108: It takes runners on average 289 minutes to run the marathon. The standard deviation of the times to run the marathon is known to be 26 minutes.
Drink ZXZ manufacturer claims that drinking ZXZ helps runners to run the
marathon faster. To test that claim, we took 30 runners, and gave them to drink
ZXZ before they ran the marathon. In our sample, the average time to run the
marathon was 281 minutes.
Part a) What is H0 and what is H1 in this test?
Part b) Do we have enough evidence to reject H0 and accept H1?
Click here to see answer by Theo(13342)   |
Question 1199107: We sampled 40 NY teachers for their annual income. In our sample,
the average annual income is $60,000 and the standard deviation of annual
incomes is $7,500. Based on that sample, we want to predict the mean annual
income μ of all the NY teachers with the confidence level of 0.99 (99 percent).
Part a) What is the error bound/margin E in our prediction about μ?
Part b) What prediction do we make about μ?
Click here to see answer by Theo(13342) |
Question 1199106: We sampled 800 NY teachers for their annual income. In our sample,
the average annual income is $60,000 and the standard deviation of annual
incomes is $7,500. Based on that sample, we want to predict the mean annual
income μ of all the NY teachers with the confidence level of 0.99 (99 percent).
Part a) What prediction do we make about μ?
Part b) What is the error bound/margin E in that prediction?
Click here to see answer by ikleyn(53751)  |
Question 1199117: Find the indicated probability.
Passengers on a large Airship consist of 5 crewmates and 8 impostors. If a passenger is randomly selected, what is the probability that the student is an impostor? Round your answer to the nearest thousandth if necessary. (Hint: find the total number of passengers before calculating the probability)
Click here to see answer by ikleyn(53751) |
Question 1198923: This year, there are seven freshmen, ten sophomores, nine juniors, and ten seniors are eligible to be on a committee.
In how many ways can a dance committee of 8 students be chosen?
ways
In how many ways can a dance committee be chosen if it is to consist of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors.
ways
In how many ways can a dance committee be chosen if it is to consist of 4 juniors and 4 senions.
ways
Determine the probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors. Write your answer in decimal form, rounded to the nearest thousandth.
Answer:
Determine the probability of selecting a committee consisting of 4 juniors and 4 senions. Write your answer in decimal form, rounded to the nearest thousandth.
Answer:
Click here to see answer by Edwin McCravy(20077)  |
Question 1199125: A weather forecast for Wednesday says that the probability of snow is 0.8, the probability of hail is 0.5, and the probability of both snow AND hail is 0.3
Find the conditional probability of it snowing on Wednesday, given that it is hailing on Wednesday.
One of the following answers is correct. Which one is correct?
A) 0.20
B) 0.30
C) 0.60
D) 0.80
Click here to see answer by ikleyn(53751) |
Question 1199127: An architect is considering bidding for the design of a gnu museum. The cost of drawling plans and submitting a model is $12,000. The probability of being awarded the bed is .2. If the architect is awarded the bed, she won’t make $60,000 minus the $12,000 cost for plans and a model. What is the expected value in the situation
Click here to see answer by ikleyn(53751) |
Question 1199130: x P(x)
0 0.05
1 0.2
2 0.15
3 0.6
Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places.
I have attempted to multiply each x value by its corresponding P(x) value, and then added those values together. I got 1.97 as an answer, and it was incorrect.
Click here to see answer by ikleyn(53751) |
Question 1199105: A car insurance plan has the expected mean annual payment to a client μ = $950 and the expected standard deviation of the annual payments to clients σ = $4,220. The insurance company charges $960 per year for that insurance plan. There are 500,000 clients, who bought this plan. What is the probability that this plan will be profitable in the upcoming year?
Click here to see answer by Theo(13342) |
Question 1199104: A car insurance plan pays $15,000 for a stolen car, $8,000 for a broken
car, and $5,000 for a damaged car. In the NY State every year, 2% of cars are
stolen, 5% of cars are broken, and 10% of cars are damaged.
Part a) What is the expected mean annual payment to a client μ?
Part b) What is the expected standard deviation of the annual payments to clients
σ?
Click here to see answer by ikleyn(53751) |
Question 1199109: Consider the random experiment of tossing two fair dice and recording the up faces. Let X be the sum of the two dice, and let Y be the absolute value of the difference of the two dice. 1.what is the probability function of Y?
2.What is the cumulative distribution function of Y?
Click here to see answer by Edwin McCravy(20077) |
Question 1199140: A) the 1300 total students enrolled
There are 1300 students taking an introductory class, and would like to know the proportion of these students that are freshmen. We draw a random sample of size 100. We ask each of these 100 students whether they are freshmen. We then we find the proportion in this sample that are freshmen.
What is the population?
One of the following answers is correct. Which one is the correct answer?
B) the 100 students selected
C) whether or not a student is a freshman
D) the total number of freshmen
Click here to see answer by ikleyn(53751) |
Question 1199141: A) the 1300 total students enrolled
There are 1300 students taking an introductory class, and would like to know the proportion of these students that are freshmen. We draw a random sample of size 100. We ask each of these 100 students whether they are freshmen. We then we find the proportion in this sample that are freshmen.
What is the sample?
One of the following answers is correct. Which one is the correct answer?
B) the 100 students selected
C) whether or not a student is a freshman
D) the total number of freshmen
Click here to see answer by ikleyn(53751) |
Question 1199159: A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the following events:
A:{ One of the balls is yellow }
B:{ At least one ball is red }
C:{ Both balls are green }
D:{ Both balls are of the same color }
Find the following conditional probabilities:
(a) P(B|A) =
(b) P(D|B⎯⎯⎯⎯) =
(c) P(D|C⎯⎯⎯⎯) =
Click here to see answer by ikleyn(53751) |
Question 1199168: Suppose that 2% of convicted felons are in fact innocent.
a. If a person is convicted of a felony, what is the probability that he is guilty?
b. If two people are convicted of felonies, what is the probability that both are guilty?
c. If three people are convicted of felonies, what is the probability that all three are guilty?
d. If four people are convicted of felonies, what is the probability that all four are guilty?
Click here to see answer by ikleyn(53751) |
Question 1199185: A random sample of 225 adults was given an IQ test. It was found that 117 of them scored higher than 100. Based on this, compute a 99% confidence interval for the proportion of all adults whose IQ score is greater than 100. Then find the lower limit and upper limit of the 99% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Click here to see answer by Theo(13342) |
Question 1199195: 7. Either allele A or a may occur at a particular genetic locus. An offspring one of its alleles from each of its parents. If one parent possesses allele A and a and the other parent possesses a and a
What is the probability of an offspring receiving an A and a?
What is the probability of an offspring receiving two a alleles?
What is the probability of offspring receiving two A alleles ?
Click here to see answer by ikleyn(53751) |
Question 1199098: According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is miles with a standard deviation of miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, , is less than miles. He takes a random sample of cars under the new contracts. The cars in the sample had a mean of annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts.
Perform a one-tailed test. Then complete the parts below.
Click here to see answer by ikleyn(53751) |
Question 1198774: The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 42 and a standard deviation of 3. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 39 and 42?
Click here to see answer by Shin123(626)  |
Question 1199228: We sampled 800 NY teachers for their annual income. In our sample,
the average annual income is $60,000 and the standard deviation of annual
incomes is $7,500. Based on that sample, we want to predict the mean annual
income μ of all the NY teachers with the confidence level of 0.99 (99 percent).
Part a) What prediction do we make about μ?
Part b) What is the error bound/margin E in that prediction?
Click here to see answer by Theo(13342) |
Question 1199239: It takes runners on average 289 minutes to run the marathon. Drink
ZXZ manufacturer claims that drinking ZXZ helps runners to run the marathon
faster. To test that claim, we took 30 runners, and gave them to drink ZXZ before
they ran the marathon. In our sample, the average time to run the marathon was
281 minutes and the standard deviation of the times to run the marathon was 26
minutes.
Part a) What is H0 and what is H1 in this test?
Part b) Do we have enough evidence to reject H0 and accept H1?
Click here to see answer by Theo(13342) |
Question 1199247: 4. Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 42 passengers, and a flight has fuel and baggage that allows for a total passenger load of 7,098 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 7,098lb/42 =169 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 175.9 lb and a standard deviation of 38.4.
Click here to see answer by math_tutor2020(3835) |
Question 1199240: Assume that a procedure yields a binomial distribution with a trial repeated
n
=
5
n
=
5
times. Use some form of technology like Excel or StatDisk to find the probability distribution given the probability
p
=
0.685
p
=
0.685
of success on a single trial.
Click here to see answer by ikleyn(53751) |
Question 1199254: An administrator at a Midwest university estimates that 12% of the female college students in a
P.A. program will change their major to a D.O. program. A random sample of 100 female P.A.
majors found that 9.5% had changed their major to a D.O. program. At α = 0.05, is there enough
evidence to reject the claim? Complete the hypotheses H1, a summary of your answer, and draw
the normal curve.
Click here to see answer by Theo(13342) |
Question 1199249: 3. Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of U=1.3kg and a standard deviation of alpha =5.6kg.
a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year.
Click here to see answer by ikleyn(53751) |
Question 1199260: In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 522.7 kg and a variance of 100 kg squared. What is the probability that the weight of concrete poured into a mold is less than 521 kg?
Click here to see answer by Theo(13342) |
Question 1199260: In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 522.7 kg and a variance of 100 kg squared. What is the probability that the weight of concrete poured into a mold is less than 521 kg?
Click here to see answer by ikleyn(53751) |
Question 1199258: 4. An elevator has a placard stating that the maximum capacity is 3800 lb — 26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/26=146 pounds. Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 31 lb.
a. Find the probability that 1 randomly selected adult male has a weight greater than 146 lb.
b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 lb.
Click here to see answer by Theo(13342) |
Question 1199259: In estimating the mean breaking strength, in kilograms, of a new synthetic fishing line, the data were coded by subtracting 10 from each observation. Find the sample mean for 5 of these lines if the coded measurements are 0.4, -0.2, 1.5, 1.8, and -0.7. 8. Find the preferred measure of central location for the sample whose observations 18, 10, 11, 98, 22, 15, 11, 25, and 17 represent the number of automobiles sold during this past January by 9 different automobile agencies. Justify your choice.
Click here to see answer by ikleyn(53751) |
Question 1199178: In a survey of 225 randomly selected gun owners, it was found that 69 of them said they owned a gun primarily for protection.
Find the margin of error and 95% confidence interval for the percentage of all gun owners who would say that they own a gun primarily for protection. Report answers to at least 2 decimal places.
Click here to see answer by Theo(13342) |
Question 1199267: Between 11 p.m. and midnight on Thursday night, Mystery Pizza gets an average of 4.2 telephone
orders per hour. (a) Find the median waiting time until the next telephone order. (b) Find the upper
quartile of waiting time before the next telephone order. (c) What is the upper 10 percent of waiting time until the next telephone order? Show all calculations clearly
Click here to see answer by ikleyn(53751) |
Question 1199143: A) the 1300 total students enrolled
There are 1300 students taking an introductory class, and would like to know the proportion of these students that are freshmen. We draw a random sample of size 100. We ask each of these 100 students whether they are freshmen. We then we find the proportion in this sample that are freshmen.
What is the statistic?
One of the following answers is correct. Which one is the correct answer?
A) the 1300 total students enrolled
B) the 100 students selected
C) the proportion of students in the sample that are freshmen
D) the proportion of students in the population that are freshmen
D) the total number of freshmen
Click here to see answer by Theo(13342) |
Question 1199285: Consider various prices of groceries with the following data set of 20 prices. Find the price which corresponds to the 85th percentile:
2.4 2.7 2.7 2.7 3.2 3.4 3.6 3.8 4.0 4.0 5.0 5.6 9.2 9.6 13.0 13.6 18.6 26.7 31.3 41.5
Click here to see answer by MathLover1(20855)  |
Question 1199305: Twenty-five percent of cars that are inspected have faulty pollution control systems. The cost of repairing a pollution control system exceeds $125 about 20% of the time. When a driver takes his car in for inspection, what is the probability that he will end up paying more than $125 to repair the pollution control system?
Click here to see answer by ikleyn(53751) |
Question 1199300: If a die is rolled one time, find these probabilities.
a. Of getting a 4
b. Of getting an even number
c. Of getting a number greater than 4
d. Of getting a number less than 7
e. Of getting a number greater than 0
f. Of getting a number greater than 3 or an odd number
g. Of getting a number greater than 3 and an odd
number
Click here to see answer by ikleyn(53751) |
Question 1199299: The average height of females in the freshman class of a certain college has been 162.5 centimeters with a standard deviation of 6.9 centimeters. I there a reason to believe that there has been a change in the average height if a random sample of 50 females in the present freshman class has average of 165.2 centimeters? Use 0.05 level of significance?
Click here to see answer by Theo(13342) |
Question 1199312: let O(0,0), A(6,0), B(6,6), c(0,6) be the vertices of a square OABC, and Let M be the midpoint of OB. Find the probability that a point chosen at random from the square is
a) father from O than from M
b) more than twice as far from O as from M
Click here to see answer by greenestamps(13327)  |
|
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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, 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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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