Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1147813: Suppose a geyser has a mean time between eruptions of 76 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 15 minutes.
What is the probability that a random sample of 7 time intervals between eruptions has a mean longer than 83 minutes?
Click here to see answer by VFBundy(438)   |
Question 1147824: 5.2/#13Assume that when adults with smartphones are randomly selected, 61% use them in meetings or classes. If 8 adult smartphone users are randomly selected, find the probability that exactly 4 of them use their smartphones in meetings or classes.
The probability is
nothing.
(Round to four decimal places as needed.)
Click here to see answer by VFBundy(438) |
Question 1147820: Assume that females have pulse rates that are normally distributed with a mean of mu equals 76.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute.
The probability is...
Click here to see answer by VFBundy(438) |
Question 1147829: 6.4 11/An airliner carries 150 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d).
a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending.
The probability is
nothing.
Click here to see answer by Boreal(15235)  |
Question 1147830: 6.4 12/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 43 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6 comma 923 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 6,923/43 equals 161
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 182.3 lb and a standard deviation of 38.8.
Click here to see answer by Boreal(15235) |
Question 1147799: You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly less than 0.16. You use a significance level of
α=0.005
H0: p = 0.16
H1: p < 0.16
You obtain a sample of size
n = 458
in which there are 64 successes.
What is the test statistic for this sample? 3 decimal places
test statistic =
What is the p-value for this sample? 4 decimal places
p-value =
Click here to see answer by Boreal(15235) |
Question 1147828: 6.4 4/The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.9 cm.
a. Find the probability that an individual distance is greater than 215.00 cm.
b. Find the probability that the mean for 25 randomly selected distances is greater than 200.70 cm.
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
Click here to see answer by Boreal(15235) |
Question 1147825: 5.2/21 The probability of a randomly selected adult in one country being infected with a certain virus is 0.005. In tests for the virus, blood samples from 28 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus.
Click here to see answer by Boreal(15235) |
Question 1147812: Suppose the lengths of the pregnanices of a certain animal are approximately normally distributed with a mean of u=161 and a standard deviation of 13 days.
What is the probability that a randomly selected pregnancy last less than 157 days?
Click here to see answer by Boreal(15235) |
Question 1147798: Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.
A sample of 54 stocks traded on the NYSE that day showed that 19 went up.
You are conducting a study to see if the proportion of stocks that went up is is significantly more than 0.3. You use a significance level of
α=0.05
What is the test statistic for this sample? 4 decimal places
test statistic =
What is the p-value for this sample? 4 decimal places
p-value =
Click here to see answer by Boreal(15235) |
Question 1147698: The triglyceride levels for the residents of an assisted living facility are recorded. The levels are normally distributed with a mean of 200 and a standard deviation of 50. Find P60, the triglyceride level which separates the lower 60% from the top 40%.
Click here to see answer by VFBundy(438) |
Question 1147826: 5.2 22/A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 42 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 7000 aspirin tablets actually has a 4% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?
Click here to see answer by VFBundy(438) |
Question 1147746: On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 506 pounds and a standard deviation of 84 pounds. The cow transport truck holds 10 cows and can hold a maximum weight of 5430. If 10 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 5430? (This is the same as asking what is the probability that their mean weight is over 543.)
(Give answer correct to at least three decimal places.)
probability =
Click here to see answer by VFBundy(438) |
Question 1147800: A recent study at a local college claimed that the proportion, p , of students who commute more than fifteen miles to school is no more than 25% . If a random sample of 255 students at this college is selected, and it is found that 78 commute more than fifteen miles to school, can we reject the college's claim at the 0.05 level of significance?
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.
g) The null hypothesis:
h) The alternative hypothesis:
i) The type of test statistic (Z, t, chi square, or f):
j) The Value of the test statistic (round to at least 3 decimal places):
k) The p-value (round to at least 3 decimal places):
l) Can we reject the claim that the proportion of students who commute more than fifteen miles to school is no more than YES OR NO?
Click here to see answer by Boreal(15235) |
Question 1147885: A bag contains 3 gold marbles, 7 silver marbles, and 22 black marbles. The rules of the game are as follows: You randomly select one marble from the bag. If it is gold, you win $5, if it is silver, you win $3. If it costs $1 to play, what is your expected profit or loss if you play this game?
Click here to see answer by ikleyn(52767)  |
Question 1147865: You measure 45 textbooks' weights, and find they have a mean weight of 40 ounces. Assume the population standard deviation is 2.8 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight.
Give your answers as decimals, to two places
__ < μ < __
Click here to see answer by oscargut(2103)  |
Question 1147759: The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Upper H 0 when the level of significance is (a) alphaequals0.01, (b) alphaequals0.05, and (c) alphaequals0.10.
Pequals0.0042
(a) Do you reject or fail to reject Upper H 0 at the 0.01 level of significance?
A.
Reject Upper H 0 because the P-value, 0.0042, is less than alphaequals0.01.
B.
Reject Upper H 0 because the P-value, 0.0042, is greater than alphaequals0.01.
C.
Fail to reject Upper H 0 because the P-value, 0.0042, is greater than alphaequals0.01.
D.
Fail to reject Upper H 0 because the P-value, 0.0042, is less than alphaequals0.01.
(b) Do you reject or fail to reject Upper H 0 at the 0.05 level of significance?
A.
Reject Upper H 0 because the P-value, 0.0042, is less than alphaequals0.05.
B.
Reject Upper H 0 because the P-value, 0.0042, is greater than alphaequals0.05.
C.
Fail to reject Upper H 0 because the P-value, 0.0042, is greater than alphaequals0.05.
D.
Fail to reject Upper H 0 because the P-value, 0.0042, is less than alphaequals0.05.
(c) Do you reject or fail to reject Upper H 0 at the 0.10 level of significance?
A.
Fail to reject Upper H 0 because the P-value, 0.0042, is greater than alphaequals0.10.
B.
Reject Upper H 0 because the P-value, 0.0042, is less than alphaequals0.10.
C.
Reject Upper H 0 because the P-value, 0.0042, is greater than alphaequals0.10.
D.
Fail to reject Upper H 0 because the P-value, 0.0042, is less than alphaequals0.10.
Click here to see answer by oscargut(2103) |
Question 1147764: The random variable x represents the number of computer hardware help requests received at a help desk in one hour, and it has a Poisson distribution with a mean of 8.3.
What is the variance?
What is the standard deviation?
Click here to see answer by oscargut(2103) |
Question 1147919: The Sky Ranch is a supplier of aircraft parts. Included in stock are 10 altimeters that are correctly calibrated and two that are not. Three altimeters are randomly selected without replacement. Let the random variable
x represent the number that are not correctly calibrated.
Complete the probability distribution table.
x={0,1,2,3}
P(x=0)=?
P(x=1)=?
P(x=2)=?
P(x=3)=?
Click here to see answer by greenestamps(13198)  |
Question 1147946: A computer system requires that passwords contain at least one digit. What is the probability that a valid password will be generated? Round your answer to four decimal places.
The probability that a valid password will be generated is?
Click here to see answer by ikleyn(52767) |
Question 1147945: Four of the seven students are from Middle Georgia State College. What is the probability that all four of the interviewed students are from Middle Georgia State College?
Express your answer as a reduced fraction or decimal rounded to at least four decimal places.
Click here to see answer by greenestamps(13198) |
Question 1147945: Four of the seven students are from Middle Georgia State College. What is the probability that all four of the interviewed students are from Middle Georgia State College?
Express your answer as a reduced fraction or decimal rounded to at least four decimal places.
Click here to see answer by ikleyn(52767) |
Question 1147964: A recent survey examined the use of social media platforms. Suppose the survey found that there is a 0.63 probability that a randomly selected person will use Facebook and a 0.26 probability that a randomly selected person will use LinkedIn. In addition, suppose there is a 0.24 probability that a randomly selected person will use both Facebook and LinkedIn.
(a)
What is the probability that a randomly selected person will use Facebook or LinkedIn?
(b)
What is the probability that a randomly selected person will not use either social media platform?
Click here to see answer by ikleyn(52767) |
Question 1147921: A bag contains 2 gold marbles, 10 silver marbles, and 21 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $4. If it is silver, you win $3. If it is black, you lose $1.
What is your Expected Value if you play this game?
Click here to see answer by ikleyn(52767) |
Question 1147917: Events a and b are mutually exclusive. Suppose even a occurs with probability 0.14 and event b occurs with probability 0.56
A. Compute the probability that a does not occur or b does not occur or both
B. Compute the probability that either B occurs without A occurring or a and b both occur
Click here to see answer by ikleyn(52767) |
Question 1147948: A certain ice cream parlor offers fourteen flavors of ice cream. You want an ice cream cone with three scoops of ice cream, all different flavors.
In how many ways can you choose a cone if it matters which flavor is on top, which is in the middle and which is on the bottom?
Click here to see answer by greenestamps(13198) |
Question 1147973: Industry standards suggest that 16% of new vehicles require warranty service within the first year. Jones Nissan, sold 11 Nissans yesterday. (Round the Mean answer to 2 decimal places and the other answers to 4 decimal places.)
a. What is the probability that none of these vehicles requires warranty service?
Probability
b. What is the probability that exactly one of these vehicles requires warranty service?
Probability
c. Determine the probability that exactly two of these vehicles require warranty service.
Probability
d. What is the probability that less than three of these vehicles require warranty service?
Probability
e. Compute the mean and standard deviation of this probability distribution.
Mean µ =
Standard deviation σ =
Click here to see answer by ikleyn(52767) |
Question 1147979: Based on historical data, your manager believes that 28% of the company's orders come from first-time customers. A random sample of 167 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.24 and 0.37?
Answer = (Enter your answer as a number accurate to 4 decimal places.)
Click here to see answer by rothauserc(4718)  |
Question 1147981: The weights of ripe watermelons grown at Mr. Smith’s farm are normally distributed with a mean of 20.26 pounds and a standard deviation of 2.8 pounds. If the bottom 3 % of watermelons are discarded, determine the weight a watermelon needs to have to not be discarded.
Thank you!
Click here to see answer by VFBundy(438) |
Question 1147982: Two employees will be chosen at random from a group of five to go to a conference. What is the probability that employee 3 and employee 5 will be chosen?
5C2=5*4*3*2*!/(3*2*1)(2*1)=20 So 20 total combinations but then I didn't know what to do. I tried various ways but could not come up with one of the multiple choice answers
Click here to see answer by ikleyn(52767) |
Question 1148002: A certain ice cream parlor offers fourteen flavors of ice cream. You want an ice cream cone with three scoops of ice cream, all different flavors.
robbyjenns1994@gmail.com
In how many ways can you choose a cone if the order of the flavors doesn't matter?
The number of ways to choose a cone, if order doesn't matter, is
Click here to see answer by ikleyn(52767) |
Question 1148003: having a hard time with this... please help me
A committee of ten people must choose a president, vice president, and a secretary. Two of the committee members are Lucy and Tony. Assume the assignments are made at random.
What is the probability that Tony is president and Lucy is vice president?
Write your answer as a reduced fraction.
Click here to see answer by ikleyn(52767) |
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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, 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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