Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 853777: 3. The lifetimes of a colour TV picture tube is normally distributed, with a mean of 8 yrs and a standard deviation of 2 years.
(i) What is the probability that a picture tube will last more than 10 yrs?
(ii) If the firm guarantees the picture tube for 4 yrs, what percentage of the tubes sold will have to be replaced?
Click here to see answer by ewatrrr(24785)   |
Question 853774: The lifetimes of a colour TV picture tube is normally distributed, with a mean of 8 yrs and a standard deviation of 2 years.
(i) What is the probability that a picture tube will last more than 10 yrs?
(ii) If the firm guarantees the picture tube for 4 yrs, what percentage of the tubes sold will have to be replaced?
Click here to see answer by ewatrrr(24785) |
Question 853762: The average time a person spends at the Barefoot Landing is 103 minutes with a standard deviation of 42 minutes. Find the probability that a randomly selected visitor will spend the following times at the seaquarium. Assume the times are normally distributed. Between 100 and 120 minutes. More than 115 minutes.
Click here to see answer by ewatrrr(24785) |
Question 854092: In a test of the effectiveness of garlic for lowering cholesterol, 45 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol )in mf/dl) have a mean of 5.6 and standard deviation of 19.5
a. What is the best point estim ate of the population mean net change in LDL cholesterol after the garlic treatment?
b. Construct a 90% confidence interval of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol.
Click here to see answer by stanbon(75887) |
Question 854087: If np is greater than or equal to 5 and nq is greater than or equal to 5 estimate P (more than 7) n=11 and p=.4 by using normal distribution as an approximation to the binomial distribution. If np<5 or nq<5, then state that the normal approximation is not suitable.
Click here to see answer by stanbon(75887) |
Question 854083: A machine needs 2 of its gears replaced. You find 2 gears, one manufactured 5 years ago and the other manufactured 10 years ago. The specifications sheet says that the chance of failure is 5% after 5 years and increases to 8% after 10 years. If the gears on the machine are in no way linked to each other, what are the chances that both will fail? Answer in % form.
If someone could show me the steps I would really appreciate it! Thanks!!!
Click here to see answer by stanbon(75887) |
Question 854082: In a sweepstakes sponsored by Gemini Paper Products, 100,000 entries have been received. If 2 grand prize, 10 first prizes, 35 second prizes, and 600 third prizes are to be awarded, what is the probability that a person who has submitted one entry will win a prize?
A) The probability is 0.00717
B) The probability is 0.01347
C) The probability is 0.00647
D) The probability is 0.00654
Click here to see answer by stanbon(75887) |
Question 854125: If z is the standard normal variable, find the following probabilities.
P(z < -1.96) = _______________
P(-2.45 < z < -1.91) = _______________
My formulas in EXCEl are all deleted! I need help Please and thank you
Click here to see answer by stanbon(75887) |
Question 854123: A soft drink machine is regulated so that it discharges an average of 8 ounces per cup. If the amount of drink per cup is normally distributed with a standard deviation of 0.5 ounce, find the probability a cup contains:
7. More than 8 ounces ____________
8. Between 7.8 and 8.4 ounces ____________
the formulas I seem to be using are not correct in Excel! Please help thank you
Click here to see answer by stanbon(75887) |
Question 854284: Hi. Can someone help me with some reassurance on this problem.
The students of a certain college were asked to choose which of six movie genres was their favorite. If there are 15,500 students at this college how many chose action or comedy given the following distributions of the students answers, Action 5%, Historical 15%, Other 29%, Drama 21%, Comedy 20%, and Horror 10%.
Here's what I'm thinking...
P(action or comedy)= P(action)+P(comedy)=5%+20% = 25%
Then 25% of 15,500 would be a total of 3875? That answer just feels off for some reason... Please help.
Click here to see answer by richwmiller(17219)  |
Question 854294: Bob takes an online IQ test and finds out that his IQ according to the test is 134. Assuming that the mean IQ is 100, the s=15, and the distribution of IQ scoes is normal, what proportion of the population would score higher than Bob? Lower than Bob?
Click here to see answer by richwmiller(17219) |
Question 854302: A blue box has 3 apples and 1 banana in it, and a red box has 5 apples and 6 bananas in it. The apples in the blue box have the probability 1/3 of being green and 2/3 of being red. The apples in the red box have the probability of 1/4 of being green and 3/4 of being red. If we randomly pick one of the boxes and then one of the fruits in that boxes.
What is the probability that a red apple from the blue box is selected
Click here to see answer by ewatrrr(24785) |
Question 854302: A blue box has 3 apples and 1 banana in it, and a red box has 5 apples and 6 bananas in it. The apples in the blue box have the probability 1/3 of being green and 2/3 of being red. The apples in the red box have the probability of 1/4 of being green and 3/4 of being red. If we randomly pick one of the boxes and then one of the fruits in that boxes.
What is the probability that a red apple from the blue box is selected
Click here to see answer by Theo(13342)  |
Question 854240: A statistical analysis of a telephone calls made by a company indicates that the length of normally distributed, with mean( u=260 seconds) and variance =40 seconds.
(a) what is the probability that a call lasted between 190 and 340 seconds?
(b) what is the length of a call if only 1% of calls are shorter ?
Click here to see answer by Theo(13342) |
Question 854370: For a psychology experiment, Emma is assigned the task of finding the average number of hours U.S. college students sleep each night. Her results must be at the 99% level of confidence with a maximum margin of error of 0.1 hours. Assuming the standard deviation is 1.2 hours (based on a previous, reliable study), how many students must Emma survey?
Click here to see answer by ewatrrr(24785) |
Question 854369: A toy company wants to know the average number of new toys bought for children each year. Marketers at the toy company collect data from the parents of 50 children. The sample mean is 4.2 toys with a sample standard deviation of 1.5 toys. Construct a 95% confidence interval to estimate the population mean.
Click here to see answer by ewatrrr(24785) |
Question 854293: The average commute time via train from the Chicago O'Hare Airport to downtown is 60 minutes with a s=15 minutes. Assume that the commute times are normally distributed. What proportion of commutes would be:
Z = (score-mean)/SD
a. Longer than 80 minutes?
z(80) = (80-60)/15 = 4/3
P(x> 80) = P(z> 4/3) = normal cdf(4/3,100) = 0.0912
---------------------------------------------------------
b. Less than 50 minutes?
z(50) = (50-60)/15 = -2/3
P(x< 50) = P(z< -2/3) = normal cdf(-100,-2/3) = 0.2525
----------------------------------------
c. Between 45 and 75 minutes?
z(45) = (45-60)/15 = 41
z(75) = (75-60)/15 = 71
P (x=60) = P(z= ) = normal cdf (-100, ) =
Click here to see answer by ewatrrr(24785) |
Question 854398: A student take multiple choice exam in which each question has five choices. Assuming that she has no knowledge of the correct answers to any of the questions, she has decided on a stratergy in which she will place five balls marked A,B,C,D,E into a box. She randomly selects her answer to the question. There are four multiple choice qyestion on the exam.
A. What is the probability that she will obtain full marks?
B. What is the probability tha she will get atleast three questions correct
Click here to see answer by ewatrrr(24785) |
Question 854550: here is the problem, Natalie has a change purse full of coins. she has 13 pennies,15 dimes and 22 nickels. If she take a coin out of her purse, without looking the probability that it will be a penny is? Here is another one
b)
Dario has 16 gummy worms in a bag. He has 3 green,2 blue,7 yellow,4 red and if he randomly takes a worm out of the bag without looking which color is he least likely to pick?
Click here to see answer by richwmiller(17219) |
Question 854621: Police departments use exams as part of their promotion process and officers have to score higher than 80% of those taking the test to be considered for promotion. Officer #1 receives a raw score of 76 and Officer #2 receives a raw score of 68. The mean of all the exam scores is 62 with a standard deviation of 11.
1) Calculate the z score for Officer #1. Will he be promoted?
2) Calculate the z score for Officer #2. Will she be promoted?
Click here to see answer by Theo(13342) |
Question 854705: The following is a question:
A card is drawn at random from a pack of cards. Let A be the event that the card is red
and B be the event that the card is king. Does the colour of card affect its probability of
being a king?
My thought process was- The probability of king is 4/52. But the probability of getting a red king is 2/52. Hence the color affects the probability of getting a king. KINDLY GUIDE!!!
Click here to see answer by dkppathak(439)  |
Question 854703: how do you work out this formula?
The following data are exam grades of 10 students in a maths class. If students who received at least 85% on this exam received a "maths star",what percentage of the students received a "maths star".
Interval Frequency
69-76 1
77-84 4
85-92 4
93-100 1
Click here to see answer by ewatrrr(24785) |
Question 854731: The Population mean time a customer spends at a drive-thru window at a local fast food store is 48.6 secs with a population standard deviation of 12.2 secs. The manager institutes a change in the drive thru process in an effort to reduce the time customers spend in the drive thru. After the change, a random sample of 41 cars results in a sample mean of 45.4 secs. What is the probability that a sample of 41 cars with a sample mean of 45.4 or less came from the original population?
Click here to see answer by Theo(13342) |
Question 854639: Assume that the salaries of elementary school teachers in the united states are normally distributed with a mean of $35,00 and a standard deviation of $4000. What is the cutoff salary for teachers in the top 10%?
Click here to see answer by ewatrrr(24785) |
Question 854723: Alice has three green balls, two yellow balls, and one red balls. She selects two balls
without replacement.
Which one of the following statements is true?
(a) The probability that the first ball chosen is red is greater than the probability that the
second ball chosen is red.
(b) The probability that the second ball chosen is red is greater than the probability that
the first ball chosen is red.
(c) The probabilities are the same.
Click here to see answer by ewatrrr(24785) |
Question 854713: 7 slips of papers with names of the seven days of the week are placed in a hat. Two slips of
paper are drawn out without replacement; these will be the days of classes.
What is the probability that no classes is scheduled at the weekend?
Click here to see answer by ewatrrr(24785) |
Question 854713: 7 slips of papers with names of the seven days of the week are placed in a hat. Two slips of
paper are drawn out without replacement; these will be the days of classes.
What is the probability that no classes is scheduled at the weekend?
Click here to see answer by Theo(13342) |
Question 854698: A household with three children is selected randomly. The children are reported according to their gender and serial number of their birth. What is the probability that the household has 2 boys. Show the calculation.
Click here to see answer by ewatrrr(24785) |
Question 854684: Two flower seeds are randomly selected from a package that contains 7 seeds for red flowers and 12 seeds for white flowers. Can someone please help me by showing work step by step to the correct answer with three decimal places for a, b, and c?
(a) what is the probability that both seeds will result in red flowers?
(b)what is the probability that one of each color is selected?
(c)what is the probability that both seeds are for white flowers?
Click here to see answer by ewatrrr(24785) |
Question 854681: Of all the trees planted by a landscaping firm, 70% survive. What is the probability that 12 or more of the 14 trees they just planted will survive? (use a binomial probabilities and give you answer correct to four decimal places.)
Click here to see answer by ewatrrr(24785) |
Question 854651: The probability of a randomly selected car crashing during the year is .0423. If a family has three cars, find the probability that at least one of them has a crash during the year? Thank you for the help.
Click here to see answer by ewatrrr(24785) |
Question 854768: In a relay race, the probability that team Sapphire wins is 22%. In another unrelated relay race, the probability that team Emerald wins is 47%. What are the chances that both teams lose their races? Answer should be in percentage form.
Click here to see answer by Fombitz(32388)  |
Question 854776: A box contains cards with one question on each card
There are 4 categories of questions
each category has some easy and some difficult questions
This table shows the probability of selecting a card at random
CATEGORY
Music
Sport
History
Nature
EASY
0.2
0.2
0.1
0.15
DIFFICULT
0.15
0.1
0.05
0.05
(A)I am going to take one card at random from the box.
What is the probability that it will be:
A HISTORY QUESTION?
Is the answer 0.15
AN EASY QUESTION?
Is the answer 0.65
(B)There are 40 cards in the box.
How many of these are MUSIC questions?
Is the answer 3
Click here to see answer by richwmiller(17219) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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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