Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 909197: The probability of rain on a given day in September is 0.25.
a) Assuming independent trials, what is the probability that there will be no rain over the three days of the Labour Day Weekend?
b) Assuming independent trials, what is the probability that it will ran at least once in a given week?
c) Assuming independent trials, what is the probability that it will rain twice in one week?
d) What is the mean (i.e, expected) number of rainy days in September?
e) Is the assumption of independent trials in this example realistic?
I am still new at these concepts and am having trouble solving. Any help would be greatly appreciated.
Click here to see answer by swincher4391(1107)   |
Question 909196: I am still new at these concepts and am having a hard time figuring out how to solve them. The question states: Farmers Smithers' tractor breaks down on him regularly. In fact, over the last 11 years he's had 18 breakdowns. He believes that the breakdowns occur randomly, but Mrs. Smithers claims otherwise. Complete the following table using basic probability theory and the Poisson distribution. Compare the observed frequency of number of breakdowns per year to the expected number, and decide if you think Farmer Smithers or Mrs. Smithers is right.
#of breakdowns per year How many times this happened Observed frequency of occurrence Expected ""
0 1
1 5
2 3
3 1
4 1
5 0
Click here to see answer by swincher4391(1107) |
Question 909205: Farmer Ze'ev has four chickens-two that lay white eggs and two that lay brown eggs. If each hen has a 0.6 probability of laying an egg on any given day:
a) What is the average number of eggs he collects each day?
b) What is the probability of getting no eggs at all?
c) What is the probability of getting only brown eggs (i.e, one or two, but not none)?
Click here to see answer by swincher4391(1107) |
Question 909172: I am having problems figuring out where to even start with the following, even just a hit would be appreciated.
A survey of 200 university presidents was conducted, which 120 stated that their university
informally monitored social networking sites to stay on top of information related to their university.
a) Construct a 90% confidence interval for the proportion of universities that informally monitored social. Interpret the results.
b) If you want to conduct a follow-up study to estimate the population proportion of universities that informally monitored social networking sites to stay on top of information related to their university to within ±0.02 with 95% confidence, how many presidents would you survey?
Click here to see answer by ewatrrr(24785)  |
Question 909207: The number of tornados striking Sunnyvale Trailer Park during a single year can be described using a Poisson random distribution with a mean of 1.2.
a) What is the probability of zero tornados striking the park in a given year?
b) What is the probability that more than two tornados will strike the park in a given year?
c) What is the most likely number of tornados in a given year?
Click here to see answer by ewatrrr(24785) |
Question 909171: I am having problems figuring out where to even start with the following, even just a hit would be appreciated.
Commercial planes arrive at the Raleigh-Durham International airport (RDU) at a rate of 8 per hour during the week. If a plain has just arrived, what is the probability that the next plane will arrive within 15 minutes?
Click here to see answer by ewatrrr(24785) |
Question 909170: I am having problems figuring out where to even start with the following, even just a hit would be appreciated.
ABC Car Rental Company determined that the distance traveled per car per year is normally
distributed, with a standard deviation of 645 miles. If 12% of the cars travel more than
55,000 miles, what is the mean distance traveled per year?
Click here to see answer by ewatrrr(24785) |
Question 909173: the diameters of bolts produced by a certain machine are normally distuributed with a mean of 0.25 inches and a stanard deviation of 0.01 inches what percentage of bolts will have a diameter greater than 0.24 inches
Click here to see answer by ewatrrr(24785) |
Question 909149: Please assist me on this question:
A particular weekly flight is late to leave 30% of the time.
Find the probability that in the coming four weeks this particular flight is late:
a) on all four occasions
b) on at least one occasion
Click here to see answer by ewatrrr(24785) |
Question 909169: I am having problems figuring out where to even start with the following, even just a hit would be appreciated.
According to a survey, College students make an average of 18 calls per day on their cell phone. Moreover, 85% of the students surveyed indicated that their parents pay their cell phone expenses.
a) If you select a student at random, what is the probability that he or she makes more than 10 calls in a day? Less than 15 calls a day? At least 20 calls a day?
b) If you select a random sample of 15 students, what distribution can you use to model the proportion of students who have parents who pay their cell phone expenses?
c) Using the distribution selected in (b), what is the probability that all 15 have parents who pay their cell phone expenses? At least 10?
Click here to see answer by ewatrrr(24785) |
Question 909240: I was looking for some assistance, i've been struggling with Z-scores and would like to see if these are correct.
Thanks.
The production department of the newspaper has embarked on a quality improvement effort and has chosen as its first project an issue that relates to the blackness of the newspaper print. Each day a determination needs to be made concerning how “black” the newspaper is printed. This is measured on a standard scale in which the target value is 1.0. Data collected over the past year indicate that the blackness is normally distributed with an average of 1.005 and a standard deviation of 0.10.
Each day, one spot on the first newspaper printed is chosen and the blackness of the spot is measured. Suppose the blackness of the newspaper is considered acceptable if the blackness of the spot is between 0.95 and 1.05. Assuming that the distribution has not changed from what it was in the past year, what is the probability that the blackness of the is
Z=x-u/o U=Mean, O= Standard Deviation X= Sample
U= a,b,c, or d, O=.10 X=1.005
Once I found Z, I used the Z-score table to solve my answers
a. less than 1.0? (Z-score=.05) (.5199) = or 51.99%
b. between 0.95 and 1.0? (.95 Z-score=.55 , 1.0 Z-score =.05) .1899 or 18.99%
c. between 1.0 and 1.05? (1.0 Z-score =.05, 1.05 Z-score =.-.45) -.1537 or 15.37%
d. less than 0.95 or greater than 1.05? (.95 Z-score=.55, 1.05 Z-score =.-.45) .3824 or 38.24%
If the objective of the production team is to reduce the probability that the blackness is below 0.95 or above 1.05, would it be better off focusing on process improvement that lowered the blackness to the target value of 1.0 or on process improvement that reduced the standard deviation to 0.075? Please explain.
Z=x-u/o U=Mean, O= Standard Deviation X= Sample
U= .95 and 1.0, x=1.005, O=.075
(1.05 Z-Score=-.6, .95 Z-score=.733)
.
7637-.2743= 48.94 or 48.9%
Click here to see answer by ewatrrr(24785) |
Question 909156: hello please help me with this question: three different machines M1,M2,and m3 were used for producing a large batch of similar manufactured items. suppose that 20% of the items were produced by m1,30% by m2 and 50% by m3.suppose further that 1% of the items produced by m1 are defective,that2% of the items produced by m2 are defective and that 3% of the items produced by m3 are defective.
i) suppose one item is selected at random from the entire batch and it is found to be defective.determine the probability that this item was produced by m2
ii) suppose one item is selected at random from the entire batch and it is found to be nondefective. Determine the probability that it was produced by m2.
Click here to see answer by Edwin McCravy(20054)  |
Question 909323: a room has 3 lamps from the collection of 10 light bulbs of which 6 are not good, a person selects 3 at random and puts them into sockets. what is the probability that, he will have light from all the three lamps.
Click here to see answer by Theo(13342)  |
Question 909689: question: Scores on a common final exam are normally distributed with a mean of 66 and a standard deviation of 11. Approximately the top 10% of the students will receive an A. Approximately, what is the minimum exam score to award an A?
I have tried solving this using the standard normal distribution table but have been unable to get the correct answer of 80.
Click here to see answer by stanbon(75887) |
Question 909673: using this information, The product (Colgate Total Toothpaste) was launched in the United States in January of 1998 using commercials that were designed from the more successful ideas of the focus group tests. Total was introduced with a $100 million advertising campaign. Ten months later, 21% of all United States households had purchased Total for the first time. During this same time period, 43% of those who initially tried Total purchased it again: What Is The Percentage of U.S. Households Who Purchased Total At Least Twice In The First 10 Months Of Its Release? I am completely lost on where to start with this question. I wasn't sure if I was supposed to used the binomial probability distribution rule or not.
Click here to see answer by stanbon(75887) |
Question 909699: in a community newspaper the weekend events advertised are two plays, five movies, and three baseball games. a couple has decided to attend four activities. find the probability that they choose to attend two baseball games, one movie, and one play.
Click here to see answer by stanbon(75887) |
Question 909650: A study looking at symptoms and care-seeking behavior in African-American patients with chest pain, measured the systolic blood pressure of 157 African-American men seen in an emergency department. The mean systolic blood pressure was 146 mm Hg with a standard deviation of 27. The researchers wish to know if on the basis of these data, they can conclude that the mean systolic blood pressure is greater than 140. The test statistic is
Click here to see answer by stanbon(75887) |
Question 909647: A method currently used by doctors to screen women for breast cancer fails to detect cancer in 15% of the women who actually have the disease. A random sample of 80 women known to have breast cancer are to be screened using a new method that researchers think will be able to detect cancer more accurately. After the experiment was performed it was discovered that the new method failed to detect the breast cancer in 8 of the 80 randomly selected women. Does the new method fail to detect breast cancer in in a smaller percentage of women than the current method? The value of the test statistic is equal to
Click here to see answer by stanbon(75887) |
Question 909865: It has been shown that only 60% of the high school graduates who are capable of college work actually enroll in college. Find the probability that among 9 high school graduates at most 1 will enroll in college.
Click here to see answer by ewatrrr(24785) |
Question 909894: Members of the Iroquois nation played a game in which there were 6 flat disks which had different colours on each side (say red and blue). People would take turns throwing the disks in the air and noting how they landed. If they were all the same colour, the person scored 3 points. If all but one were the same colour the person would score 1 point. For any other outcome, no points were assigned. The winner was the first to 20 points (or more).
A) calculate the probability of all the possible outcomes grouped together (for example, one grouping would be all outcomes in which there are 4 blue and 2 red).
I've tried: P(E)= 1/6P2 and other variations like that, I just keep getting smaller numbers and don't think I'm doing it correctly. Please help.
Click here to see answer by ewatrrr(24785) |
Question 909943: the probability that a randomly selected patient who visits the ER will die within 1 year of the visit is 0.05.
what us the probability that exactly 1 of 10 randomly selected visitors to the ER will dies within one year
Click here to see answer by ewatrrr(24785) |
Question 909967: At the end of the Halloween Festival the organizers estimated that a family of participants spent in average $45.00 with a standard deviation of $8.00. If 49 participants (49=size of the sample) are selected randomly, what's the likelihood that their mean spent amount will be within $3 of the population mean? (mean+/-3: between $42 and $48
Click here to see answer by stanbon(75887) |
Question 909965: The average grade point average (GPA) of undergraduate students in New York is normally distributed with a population mean of 2.5 and a population standard deviation of 0.4. Compute the following, showing all work:
1) The percentage of students with GPA's between 2.0 and 2.6
2) The percentage of students with GPA's below 2.7
3) Above what GPA will the top 7% of the students be(i.e., compute the 93rd percentile)
4) If a sample of 49 students is taken, what is the probability that the sample mean GPA will be between 2.60 and 2.70?
Click here to see answer by ewatrrr(24785) |
Question 909962: Mamma Temte bakes 6 pies a day that costs $2 each to produce. On 28% of the days she sells only 2 pies. On 25% of the days, she sells 4 pies, and on the remaining 47% of the days, she sells all 6 pies. If Mamma Temte sells he pies for $4 each, what is her expected profit for a day's worth of pies? {Assume that any leftover pies are given away]
Click here to see answer by stanbon(75887) |
Question 909978: (i).The length of human pregnancies from conception to birth approximates a normal distribution with a mean of 266 days and a variance of 256 days. What proportion of all pregnancies will last between 240 days and 270 days (roughly between 8 and 9 months)? Draw a normal curve to illustrate your probability.
(ii). What length of time marks the shortest 70% of all pregnancies? Draw a normal curve to illustrate your probability.
Click here to see answer by ewatrrr(24785) |
Question 909978: (i).The length of human pregnancies from conception to birth approximates a normal distribution with a mean of 266 days and a variance of 256 days. What proportion of all pregnancies will last between 240 days and 270 days (roughly between 8 and 9 months)? Draw a normal curve to illustrate your probability.
(ii). What length of time marks the shortest 70% of all pregnancies? Draw a normal curve to illustrate your probability.
Click here to see answer by stanbon(75887) |
Question 910033: Nine percent of men and 0.25% of women cannot distinguish between the colors red and green. This is the type of color blindness that causes problems with traffic signals. If 15 men are randomly selected for a study of traffic signal perceptions, find the probability that between 1 and 3 inclusive of them have this type of color blindness.
Click here to see answer by stanbon(75887) |
Question 910054: Of the over 1.6 million graduating high school students who took the American College Test (ACT) in 2012, the mean score was 21.1 and the standard deviation was 5.3. Assuming that the scores are distributed normally;
a. Find P(X≤28)
b. Find P(18≤X≤21)
c. Find the score such that P(X>x) = .66
d. Assume that the University of Kentucky will only accept applicants that scored higher than a 21 on the ACT. What is the probability that a student taking the exam in 2012 would not qualify for admission?
Click here to see answer by stanbon(75887) |
Question 910196: 40 students. 8 are left-handed. If 2 are chosen randomly what are the probabilities of the following events?
a. Both right-handed
b. Niether right-handed
c. One RH other LH
d. At least one is right-handed
Thanks a lot!
Click here to see answer by Lenzky(18) |
Question 910208: Let X be the number from 5 randomly selected teenagers who have sent text messages on their phone in the past month. The probability distribution is as follows:
x P(x)
0 0.015
1 0.097
2 0.258
3 0.343
4 0.227
5 0.060
Find the probability that three or more of the teenagers sent text messages.
Find the probability that fewer than two of the teenagers sent text messages.
Find the probability, P(2)
Find the probability, P(X>1)
Click here to see answer by ewatrrr(24785) |
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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, 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