Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 914550: A Lego Robotics Workshop is being conducted at SEECS. Robots are constructed with NXT 2.0. A team constructs a sumo robot with the LEGO MINDSTORMS EV3 witch wins 7 out of 10 competitions. Determine theprobability that the sumo robot would have done at least this well without the latest EV3?
Click here to see answer by ewatrrr(24785)   |
Question 914678: A car rental agency currently has 40 cars available, 30 of which have a GPS navigation system. Two cars are selected at random from these 40 cars. Find the probability that both of these cars have GPS navigation systems.
Click here to see answer by Alan3354(69443)  |
Question 914677: A car rental agency currently has 40 cars available, 30 of which have a GPS navigation system. Two cars are selected at random from these 40 cars. Find the probability that both of these cars have GPS navigation systems.
Click here to see answer by Alan3354(69443) |
Question 914936: The probability of success on a single trial of a binomial experiment is known to be 0.45. The random variable x, number of successes, has a mean of 81.
(a) Find the number of trials involved in this experiment. (Give your answer correct to the nearest whole number.)
(b) Find the standard deviation of x. (Give your answer correct to two decimal places.)
Click here to see answer by ewatrrr(24785) |
Question 914933: In the biathlon event of the Olympic Games, a participant skis cross-country and on four intermittent occasions stops at a rifle range and shoots a set of five shots. If the center of the target is hit, no penalty points are assessed. If a particular man has a history of hitting the center of the target with 81% of his shots, what is the probability of the following. (Give your answers correct to three decimal places.)
(a) He will hit the center of the target with all five of his next set of five shots.
(b) He will hit the center of the target with at least four of his next set of five shots. (Assume independence.)
Click here to see answer by ewatrrr(24785) |
Question 914957: A sample of 40 sales receipts from a grocery store has x = $137 and s = $30.2. Assist the
owner of the grocery store to these values to test, at the 5% level of significance, whether
or not the mean sales at the grocery store is different from $150.
(a) State the null and alternative hypotheses for the test.
(b) Calculate the test statistics.
(c) Determine the rejection region(s) for the test.
(d) State the conclusion for the test giving reasons for your answer.
Click here to see answer by ewatrrr(24785) |
Question 914965: Eighty percent of trees planted by a woodlands conservation group survive. What is the probability that:
a. 10 of the 12 trees just planted will survive?
b. at least 10 of the trees just planted will survive?
Click here to see answer by ewatrrr(24785) |
Question 914210: In the accompanying table, the random variable x represents the number of televisions in a household in a certain country. Determine whether or not the table is a probability distribution. If it is a probability distribution, find its mean and standard deviation. SHOW ALL WORK
x 0 1 2 3 4 5
P(x) 0.02 0.14 0.28 0.24 0.17 0.15
Mean (rounded to the nearest tenth as needed) _______
Standard deviation (rounded to the nearest tenth as needed)_________
Click here to see answer by Fombitz(32388)  |
Question 915020: Heights of certain plants at a nursery are normally distributed with a mean of 52.5 centimeters and a standard deviation of 7.2 centimeters. If their z-scores are greater than 2.25, the plants are displayed in the main lobby. To the nearest centimeter, what is the minimum required height for this type of plant to be displayed in the main lobby?
a.69cm
b.68cm
c.56cm
d.55cm
Click here to see answer by ewatrrr(24785) |
Question 915021: Scores on a history test are normally distributed with a mean of 120 and a standard deviation of 5.
Scores on an economics test are normally distributed with a mean of 168 and a standard deviation of 8.
Quinn scored a 110 on the history test and wants to perform just as well on the economics test.
What score would Quinn need to get on the economics test?
_________
Click here to see answer by ewatrrr(24785) |
Question 915019: The number of peanuts in bags is normally distributed with a mean of 184.7 peanuts and a standard deviation of 3.3 peanuts. What is the z-score of a bag containing 178 peanuts?
a.-1.42
b.-1.65
c.-2.03
d.-2.49
Click here to see answer by ewatrrr(24785) |
Question 914629: 1.In a survey of 150 randomly selected teenagers, 75 stated that they drank alcoholic beverage, at least once during the last 2 weeks.
(a)Calculate the point estimate for the population proportion of teenagers who drank alcoholic beverage at least once during the last 2 weeks.
(b)Construct the 95% confidence interval for the true proportion of teenagers who drank alcoholic beverage at least once during the last 2 weeks.
(a) Given that n = 81, x= 55 and σ = 9, find the
(i) 87% confidence interval
(ii) 92% confidence interval
Click here to see answer by AlgebraLady88(44)  |
Question 915314: In this table, x= number in a party of visitors at the swamp critter inn. The percentage data are the percentages of accommodations that have the indicated number in the visiting party.
1=15%
2=27%
3=23%
4=21%
5=10%
6=3%
7 or more=1%
1. What is the probability that a party selected at random will have only two members?
2. What is the probability that a party selected at random will have more than 3 members?
3. What is the probability that a party selected at random will have at most 2 members?
Click here to see answer by ewatrrr(24785) |
Question 915320: I have a question from Statistics. Please explain the solution. Here is the problem: A key ring contains 4 office keys that are identical in appearance, but only one will open your office door. Suppose you randomly select one key and try it. If it does not fit, you randomly select one of the three remaining keys. If it does not fit, you randomly select one of the last two. Each different sequence that could occur in selecting the keys represents one of a set of equiprobable simple events.
a) List the simple events in S and assign probabilities to the simple events.
b) Let x equal the number of keys that you try before the one that opens the door (x= 1, 2, 3, 4). Then assign the appropriate value of x to each simple event.
c) Calculate the values of p(x) and display them in a table.
d) Construct a probability histogram for p(x)
Click here to see answer by Fombitz(32388) |
Question 915337: PLEASE HELP!!
In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 95% confident that your sample mean is within 12 mins of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 198 mins. Find the estimated minimum required sample size.
The minimum sample size required is ____ computer users. SHOW WORK
Click here to see answer by ewatrrr(24785) |
Question 915321: In a sample size of 7 cars, each car was tested for nitrogen oxide emissions, and the following results were obtained. 0.14, 0.08, 0.17, 0.16, 0.08, 0.07, 0.14. Assuming that this sample is representative of the cars in use, construct a 98% confidence interval estimate of the mean amount of nitrogen oxide emissions for all cars. If the EPA requires that nitrogen oxide emissions be less than 0.165 g/mi, can we safely conclude this requirement is being met?
What is the confidence interval estimate of the mean of nitrogen oxide emissions for all cars?
_____g/mi < u < ____g/mi
Click here to see answer by ewatrrr(24785) |
Question 915355: There is a 40% chance that interest rates will rise, 10% they will stay the same and 50% chance they will decrease. You have 3 investment alternatives. CIBC fund will be worth $18000 if rates rise, $14000 if rates are unchanged and $10000 if rates decrease. RBC fund will be worth $22000 if rates increase, $12000 if rates are unchanged and $6000 if rates decrease. CSB will be worth 15000 under all 3 scenarios. Based on the EMV and EOL theory decide with is the best fund.
thank you!!!!
Click here to see answer by ewatrrr(24785) |
Question 915389: Ilene did a survey of 360 customers regarding satisfaction with the services on The Swamp Critter Inn and type of customer. A walk-in customer is one who has seen no ads and has not been referred to the Inn. The other customers either saw a TV as or were referred to the Inn (but not both). The results follow.
Not Satisfied 21 9 5 35
Neutral 18 25 37 80
Satisfied 36 43 59 138
Very Satisfied 28 31 48 107
Total 103 108 149 360
Walk-in TV AD Referred Total
Let's use the following notation for the various events: W=Walk-in, TV= Saw TV Ad, R= Referred, NS= Not Satisfied, N= Neutral, S= Satisfied, and V= Very satisfied. Find the following probabilities correct to four places after the decimal point.
A) P(NS)
B) P(NS^c)
C) P(NS and W)
D) P(R/NS)
E) P(NS/R)
F) P(V or TV)
Click here to see answer by ewatrrr(24785) |
Question 915405: 1. Two chips are chosen at random from a box containing 8 blue, 4 green, and 2 orange chips. We win $2 for each green chip selected andwe lose $1 for each blue chip selected. Let X denote our winnings.
a) What are the possible values of X?
b) What is the pmf of X?
c) Find E[X] and V ar(X).
Click here to see answer by ewatrrr(24785) |
Question 915532: A set of final exam scores in an organic chemistry course was found to be normally distributed, with a mean of 73 and a standard deviation of 8. What is the probability of getting a score of 68 or less on this exam?
Click here to see answer by ewatrrr(24785) |
Question 915809: Assume that the significance level is a = 0.1. Use the given information to find the P-value and the critical value(s).The test statistic of z=1.41 is obtained when testing the claim that p>0.3.
P value =
The critical value(s) is/are z=
Click here to see answer by ewatrrr(24785) |
Question 915809: Assume that the significance level is a = 0.1. Use the given information to find the P-value and the critical value(s).The test statistic of z=1.41 is obtained when testing the claim that p>0.3.
P value =
The critical value(s) is/are z=
Click here to see answer by stanbon(75887) |
Question 915812: Find the number of different ways to draw a 5-card hand from a deck to have the following combinations:
a)Three face cards.
b)All hearts.
c)Two hearts and two diamonds.
d)Two cards on one suit, and three on another suit.
e)Two kings and three queens.
f)Two cards of one value and three of another value.
Click here to see answer by ewatrrr(24785) |
Question 915811: Assume the significance level is a=0.05. Use the given information to find the P- value and the critical value(s). The test statistic of z=1.50 is obtained when testing the claim that p>0.2.
P value =
critical value =
Click here to see answer by ewatrrr(24785) |
Question 915803: The claim is that the proportion of peas with yellow pods is equal to 0.25 or 25%. The sample statistics from one experiment 530 peas with 129 of them having yellow pods. Find the value of the test statistic. (Round to two decimal places)
Click here to see answer by ewatrrr(24785) |
Question 915797: The following are the annual incomes (in
thousands of dollars) for randomly chosen,
U.S. adults employed full-time:
27, 31, 33, 34, 35, 38, 39, 40, 40, 40, 41, 41, 42,
42, 44, 47, 49, 50, 51, 54, 63, 82, 90, 112.
(a) Which measures of central tendency do
not exist for this data set? Choose all that
apply.
1. Mean
2. Median
3. Mode
4. None of these measures
(b) Suppose that the measurement 112 (the
largest measurement in the data set) were
replaced by 153. Which measures of
central tendency would be affected by the
change? Choose all that apply.
1. Mean
2. Median
3. Mode
4. None of these measures
(c) Suppose that, starting with the original
data set, the smallest measurement were
removed. Which measures of central
tendency would be changed from those of
the original data set? Choose all that apply.
1. Mean
2. Median
3. Mode
4. None of these measures
(d) The relative values of the mean and
median for the original data set are typical
of data that have a significant skew to the
right. What are the relative values of the
mean and median for the original data set?
Choose only one.
1. Mean is greater
2. Median is greater
3. Cannot be determined
5. Graph the line.
Click here to see answer by ewatrrr(24785) |
Question 915836: Let X be the lifetime of an electronic device. It is known that the average lifetime of the device is 767 days and the standard deviation is 142 days. Let xˉ be the sample mean of the lifetimes of 210 devices. The distribution of X is unknown, however, the distribution of xˉ should be approximately normal according to the Central Limit Theorem. Calculate the following probabilities using the normal approximation.
(a) P(xˉ≤752)
(b) P(xˉ≥784)
(c) P(749≤xˉ≤781)
Click here to see answer by ewatrrr(24785) |
Question 915835: Suppose that the proportion of voters who will vote for Mr. Smith is p=0.44. Let pˆ be the sample proportion of voters for Mr. Smith in a random sample of size 137. Find the following probabilities. Do not use the normal approximation.
(a) P(pˆ≤0.42)
(b) P(0.27≤pˆ≤0.65)
(c) Find the mean of pˆ.
(d) Calculate the standard deviation of pˆ.
Click here to see answer by ewatrrr(24785) |
Question 915868: the times required to service customers' cars at a repair shop are skewed to the right with a mean of 2.5 hours and a standard deviation of 0.75. what can be said about proportion of cars whose service time is either less than one hour or more than four hours?
Click here to see answer by ewatrrr(24785) |
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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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